Ganit Chamatkar

Author(s): Dhirajlal Tokarshi Shah
Publisher: Pragna Prakashan Mandir
Catalog link: https://jainqq.org/explore/005358/1

Page #1
PLANaC. dhamakA, | | 12 ), is & a kA nayA = == = lark III IIkA ka RESE\[EvI FILE : lekhakaH-zatAvadhAnI paMDita | zrI dhIrajalAla zAha e lemationale Roesgnal and Private Use Only kimI STEELEii || REIkAkI!! | Ea[ljhA? -jhA T

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-31 Jain Educationa International vyo Cin Wen gaNita camatkAra AMkaDAnI ramato. koyaDAo camatkArika prayogo vagere. * lekhakaHzatAvadhAnI paMDita zrI dhIrajalAla zAha For Personal and Private Use Only vi. blo o

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narendrakumAra DI. zAha vyavasthApaka : prajJA prakAzana maMdira ladhAbhAI gaNapata bIlDIMga, cIMcabaMdara, muMbaI-9. AvRtti pahelI : sane 1964 AvRtti bIjI : sane 1966 tti trIjI : sane 1973 mUlya rUpiyA pAMca A pustakanA sarva hakka lekhakane svAdhIna che. maNilAla chaganalAla zAha, navaprabhAta prinTIMga presa, ghIkAMTA roDa, velTI sinemA pAse, amadAvAdanI

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bIjuM trIjuM 25 217 40 viSayAnukrama pahelo khaMDa siddhAMta ane prayogo prakaraNa viSaya pRSTha saMkhyA paheluM ATha aMkanI karAmata nava aMkanI marAmata saMkhyAonuM baMdhAraNa camatkArika saMkhyAo pAMcamuM saMkhyAnA pirAmIDa chaddha saravALAnI keTalIka rIte sAtamuM bAdabAkIno tALo AThamuM guNAkAra nI virATe zakti navamuM guNAkAranI be anokhI rIto dazamuM guNAkAranA keTalAka prayogo aDhiyAramuM bhAgAkAranI vizeSatA bAramuM bhAgAkAranI pUrti sarvatobhadra temaja bIjAya cAmuM manano dhAre eka kahenArAM yaMtro paMdaramuM siddhAMkanA traNa prayogo seLayuM gaMjIphAnA cAra prayogo sattaramuM daza camatkArika prayogo aDhAramuM aMka vinoda 119 bIjo khaMDa gaNitajJAnanI pUrti karanAre se keyaDAo keyaDAo 129 uttaro aMkanI saMjJa e , 198 teramuM 3

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prakAzakIya sane 1934 thI 1964 sudhI graMthalekhaka zatAvadhAnI paM. zrI. dhIrajalAla zAhe zatAvadhAnanA prayogo daramyAna gaNitanA aneka camatkArika prayogo banAvyA hatA. je joIne moTA moTA vidvAne paNu prabhAvita thayA hatA. A vakhate keTalAka sahRdayI sajajanee evI sUcanA karI hatI ke tamAre A vidyAnuM rahasya janatAnI jANa mATe pragaTa karavuM joIe. paMDitazrIe tene sAnaMda svIkAra karIne maraNa-kalA" nAmano eka graMtha lakhyo. temaja "gaNitacamakAra" "gaNita-rahasya" tathA "gaNita-siddhi" nAmanA traNa graMthanI racanA karI. temAMthI smaraNazlA Aje aprApya che jyAre gaNita-camatkAra ane gaNita-rahasya trIjI AvRtti sudhI pahoMcyA che. temaja gaNita-siddhie paNa bIjI AvRttinA darzana karyA che. ekaMdare A traNe graMthe lekapriya nivaDayA che ane "gujarAtI bhASAmAM gaNitanA graMtho cAlatA nathI." evo graMtha vikretAne zrama bhAMgyo che. A graMthano ATalo pracAra thavAmAM mahArAjA sayAjIrAva hIraka mahotsava smAraka nidhi" tathA mahArAjA phatehasiMharAva cerITI TrasTa' sAro sahakAra Apela che temaja sanmAnanIya zrI morArajIbhAI zrImAna ke. ke. zAha tathA zrImaMta mahArAjA phattehasiMharAva gAyakavADa Adi aneka mahAnubhAvoe UMDo rasa lIdhele che, te mATe sahune aMta:karaNathI AbhAra mAnIe chIe. ' kAgaLanI sakhata moMghavArI tathA chApakAmanA bhAvo ghaNa vadhavA chatAM A graMthanuM mUlya pUrvavat rAkhyuM che te tarapha pAThakenuM dhyAna kheMcIe chIe. prakAzaka

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zatAvadhAna aMge kiMcit - le. paM. zrI rudradeva tripAThI sAhitya-sAMkhya-ga-darzanAcArya, ema. e. (saMskRta-hindI) kAvya-purANa-tIrtha, hindI saMskRta-sAhitya-ratna, sAhityAlaMkAra Adi. "zatAvadhAna eTale zuM ? A prazna vAraMvAra pUchAyA kare che. jene suzikSita kahIe teo paNa emAM apavAdarUpa nathI, eTale te aMge ahIM kiMcit lakhavuM ucita mAnyuM che. zatAvadhAna zabda mULa te saMskRta bhASAne che ane te tatsama tarIke hiMdI, baMgALI, marAThI tathA gujarAtI bhASAmAM utarI AvyuM che. te zata ane avadhAna e be padonA joDANathI baneluM che. temAM zatano artha so ane avadhAnane artha dhyAna ke lakSya che. tAtparya ke ekI sAthe judI-judI se bAbate para lakSya (Attention) ApI tene grahaNa karavI, dhArI rAkhavI ane yathArtha kamamAM tenuM u dhana karavuM, tene zatAvadhAna kahe che. mane vijJAnane e siddhAMta che ke ApaNuM mana ekI sAthe be vastu para laya ApI zakatuM nathI, eTale ahIM ekI sAthene artha eka pachI eka samajavAnuM che. * sAmAnya manuSya be, cAra ke pAMca vastu yAda rAkhI

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zake che, paNa tethI adhika vastu yAda rAkhavAne prasaMga Ave te sleTa-pena ke kAgaLa-pensila jevAM sAdhanene. upayoga kare che. AthI tene ekI sAthe se judI judI bAbate para dhyAna ApI yAda rAkhavAnI kriyA ghaNI AzcaryakArI lAge che ane "A kevI rIte banatuM haze? evI sahaja jijJAsA utpanna kare che, paraMtu niyama vinA keI vastu niSpanna thatI nathI, eTale AmAM cekakasa mane vaijJAnika siddhatine ja Azraya levAya che. huM anya zabdomAM kahuM te zatAvadhAna e eka prakAranI managanI ja prakriyA che; paraMtu A prakriyA keNe zarU karI? kyAre zarU karI? tenI prAcIna paddhati. kevI hatI? vagere praznone uttara ApavAnuM zakya nathI, Ama chatAM te ghaNA prAcInakALathI bhAratavarSamAM pracalita hatI ane guruparaMparA dvArA utarI AvI che, eTaluM nizcita. prAcIna kALamAM A zakti dharAvanAra vidvAne moTA bhAge kaI maMtra-taMtranI sAdhanAthI athavA pUrvajanmanA saMskArathI mAtra avadhAnazakti dhAraNa karatA hatA. teo vaijJAnika paddhatie amuka viSayamAM amuka saMkhyAmAM avadhAna karavA, AvI paddhati temanI pAse na hatI. madhyakAlamAM A vidyA vikasita thaI ane rAjadarabAramAM ke paMDitanI sabhAmAM zabda-sUtra-kAvyaracanAdine anulakSIne zatAvadhAnanA prayoga karI vidvAne zatAvadhAnInuM mAnavaMtu

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biruda pAmatA. rAjA-mahArAjAo-zrImaMta vagere temane kiMmatI bheTa ApI temanuM bahumAna karatA. A chellI sadImAM prajJAcakSu paMDita zrI gaThThalAlajInuM nAma zatAvadhAnI tarIke sArI rIte prasiddha thayuM hatuM. teo moTA bhAge muMbaImAM ja rahetA hatA ane hiMdu paMDitomAM agresara gaNAtA hatA. gujarAta-saurASTramAM zatAvadhAnIonI paraMparA cAlI che. merabInivAsI zaMkaralAla mAhezvara bhaTTa, paMDita gaTTalAlajInA samakAlIna hatA. tyArabAda zrImad rAjacaMdra, sthAnakavAsI munizrI ratnacaMdrajI, munizrI kevaLacaMdrajI, munizrI saubhAgyacaMdrajI (zrI saMtabALajI) zatAvadhAnInI khyAti pAmyA hatA. tyArabAda suprasiddha sAhityakAra zrI dhIrajalAla TokarazI zAhe tA. 29-8-35 nA roja vIjApura mukAme zatAvadhAnanA saphaLa prayoga karI zatAvadhAnIonI paMktimAM pitAnuM nAma rozana karyuM ane tene anerI AbhAthI dIpAvyuM. temaNe bhAratanA bhinnabhinna bhAgomAM zatAvadhAnanA saphaLa prayoga karyA che, eTaluM ja nahi paNa tyAgI-gRhastha ziSya-ziSyAone eka samudAya UbhuM karIne "avadhAnaguru nuM pada bhAvyuM che. vizeSamAM temaNe A viSayanuM UMDuM adhyayana karIne tenuM Avazyaka saMskaraNa paNa karyuM che ane tene lekamegya che ane banAvavAmAM ghaNe meTa hise Ave che. AjanA moTA

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* * * * * * * * * * * bhAganA. avadhAnIo-zatAvadhAnIo temanI paddhatie ja prago kare che, jemAM saMkhyAladhAraNa, zabdAvadhAraNa, raMgasmRti, sparza praNidhAna, kAvyaracanA, vividha bhASAonA vAkyonuM smaraNa tathA gaNitanA aneka prakAranA camatkArika praye vagere sahune rasa paDe tevI bAbata hoya che. * zatAvadhAnI paM. zrI dhIrajalAlabhAI lekhaka, vicAraka, kavi, samAjasevaka, zatAvadhAnI ane mahAna-gaNitajJa hovA. chatAM bahu sAduM jIvana jIve che. chellAM daza-bAra varSathI huM temanA nikaTa paricayamAM Avyo chuM ne temanI vividha zaktio tathA kAryapraNAlikAthI ati prabhAvita thaye chuM. temanuM kAyamI saranAmuM nIce mujaba che - zatAvadhAnI paMDita zrI dhIrajalAla zAha 113-15 kezavajI nAyaka roDa, ladhAbhAI gaNapata bIlDIMga, cIMcabaMdara, suMbaI-9

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pahele khaMDa siddhAMta ane prayoga cocooos

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Page #12
[ 1 ] ATha aMkanI karAmata 1 2 3 4 5 6 7 8 A aMke ApaNe roja lakhIe chIe ane temAM kaI vizeSatA hoya evuM ApaNane lAgatuM nathI, paNa tenI viziSTa goThavaNa karIe ke gaNitanAM cihnone upayoga karIe, te tenI karAmata tarata najare paDe che. jema ke 1 2 3 hajI AmAM kaI vizeSatA che, e khyAla nahi Ave, paNa vacce dizAdarzaka be cekaDIo mUkI de ane pachI juo ke te kevuM pariNAma batAve che! ' have dareka lITInA cheDe AvelA ane saravALe

Page #13
kare. 1 + 8= 6 2 + 7 = 96 3 + 6 = 96 5 + 4 = 9tyAra pachI ulaTo kema zarU thAya che, eTale saravALAnuM pariNAma te sarakhuM ja AvavAnuM. 8 + 1 = 9 + 2 = 9 6+ 3 = 96 4+ pa = 9. bIjI rIte paNa AmAM karAmata che, te juo. 18= 94 2 54=946 27 = 9 43 63 = 94 7 9 44 72 = 9 48 81 = 949 X ~ X w 38 || X w = 945 X w hajI vizeSa ! A AkRtimAM cAra cheDe corasamAM eka lakhyA che, tene saravALe kareH 1 + 3 +8+ 6 = 18 ane bahAra rahyA che, tene saravALe kareH 2 +5 + 7 + 4= 18. eka sAdI dekhAtI goThavaNamAM keTalI karAmata! have, 1 thI 8 sudhInA aMke nIce pramANe be hAramAM lakhe

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AmAM vizeSatA UbhI lITI dorI tenA dekhAze. jema ke " 1 2 3 4 5 6 7 8 10 12 jo nIcenI hAranA krama ulaTA karIe te vaLI juda -- ja raMga najare paDe che. jema ke 1 ra 19 3 2 4 5 6 7 8 nahi dekhAya, para'tu dareka a'ka vacce saravALe karA, te temAM karAmata saravALAnI dareka rakama ekI che ane tenI vacce e tu aMtara raheluM che. 4 5 Jain Educationa International saravALAnI dareka rakama ekI ane te paNa eka sarakhI. adhA ja navaDA ! 9 jo A ja aMkAne UbhA lakhIe teA tenA saravALAmAM vizeSatA Ave che. jema ke 3 5 saravALAnI badhI rakame ekI ane . te dareka vacce cAranuM a Mtara ! 3 7 11 15 pUrI thatI paraMtu AThe aMkanI karAmata ATalethI ja nathI. cihno vaDe temAM judI ja karAmata pedA thAya che. jema ke. 12:3-4 567 = 8 tathA For Personal and Private Use Only

Page #15
12 = 3 44 pa6 = 7 4 8 " bhAgAkAra ane guNAkAranAM cihnonI jema + ane - nAM cihno paNa temAM navI ja renaka ANe che. paraMtu te mATe A ATha aMkane ulaTA kamathI lakhavA ThIka paDaze. 8 + 7 - 9 + 5 + 8 + 3 = 21 hajI bIjI rIta juo- 8 + 7 - 6 - 1 - 4 + 3 - 2 = 1 chevaTe te badhAnuM ekamAM ja paryavasAna thavAnuM che ane ahIM te ja ghaTanA jovAmAM Ave che. = =

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[ 2 ] nava aMkanI karAmata ATha aMkanI jema navA aMke paNa keTalIka karAmata batAve che. jarA ahIM najara kare- 1 2 3 ............ 4 5 . 6 A te svAbhAvika kame lakhAyelA AMkaDA che, eTale temAM kaMI navInatA nahi lAge ! paNa bAkI rahelA 7, 8, 9ne A akenI vacce dAkhala karI do ane te paNa nIcethI UMcenA keme, te jarUrI temAM karAmata nihALI zakaze. 1 - 9 2 3 . 8 - 4 = have aMkenI A traNa hArane traNa saMkhyA samajI lyo. temAM pahelI saMkhyA karatAM bIjI saMkhyA barAbara bamaNI che. ane trIjI saMkhyA barAbara traNa gaNI cheH 192 42 = 384, 192 4 3 = pa76. have pahelI ane bIjI saMkhyAne saravALe kare. tenuM pariNAma trIjI saMkhyAmAM barAbara joI zakAze. jema ke

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+ 3 8 4 1 thI 9 sudhInA aMkane saravALe kare ane te akene paNa saravALe kare te barAbara 9 ja Avaze ! 1+2+3+4+5+ 6 + 9 + 8+9=5=4+ =9. 1 thI 9 sudhInA aMke teraNa ke sapAna AkRtie lakhAya te tenA saravALAmAM eka jAtane saMvAda najare paDe che. taraNa AkRti 1 3 5 7 9 AmAM 1-2-3 thI teraNanAM pAMdaDAMnI AkRti bane che. te ja rIte 3-4-5, 5-6-7 ane 7-8-@ii paNa tAraNanA pAMdaDAMnI AkRti bane che. have dareka AMkaDAne saravALo karIe te anukrame 1, 12, 18 ane 24 Ave che, eTale ke badhA AMkaDA bekI che ane te anukrame 6 ne taphAvata batAve che. 1 + 2 + 3 = 6 3 +4+5 = 12 5 + + 7 = 18 - 7 + 8 + 8 = 24 je mAtra trAMsI lITIone saravALe karIe to pami ekI AMkaDAmAM Ave che ane te cArane taphAvata batAve che. jemake : 1 + 2 = 3.3 + 4 = 7. 5 + 6 = 11.

Page #18
17+ 8 = 15. 3 + 2 = 5. paM+4= 9. 7+ 6 = 13. 9 + 8= 17.. pAna AkRti - | ja || | | 1 5 9 13 17 AmAM saravALAnA badhA ja AMkaDA ekI Ave che ane te anukrame 4 ne vadhAre batAvatA jAya che. 1 + = 5. pa + 4 = 9. 9 + 4 = 13. 13 +4= 17. 1 thI 9 sudhInA aMke hArabaMdha lakhI nAkhe ane tenI nIce te ja aMke ulaTA krame lakhe, pachI temAM 1 umere, te jarUra camatkArika pariNAma Avaze. 1 2 3 4 5 6 7 8 9 ( 9 8 7 6 5 4 3 21 1 1 1 1 1 1 1 1 1 1 badhA ekaDA ja ekaDA ! - have A be saMkhyAonA game tyAMthI UbhA TukaDA karI 1 umerIe te paNa pariNAmamAM ekaThA ja Avaze.

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12 345 67 89 98 765 43 21 + 1 + 1 + 1 + 1 111 | 1111 111 | 111 10 have A e rakamAne ulaTI karIne eTale ke nIcenI rakamane upara lakhIne ane uparanI rakamane nIce lakhIne mAnubAkI karIe te temAM paNa kaMIka karAmata jovAmAM Avaze ! 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 8 6 4 1 9 7 1 3 2 pariNAmamAM nave nava AMkaDA hAjara che. nathI temAM keAI vacce ke koI ghaTaco! 1 thI 9 sudhInA ake kramazaH lakhe ane temAM gaNitanI saMjJAe caturAIthI vApare te aneka rIte 100 pariNAma lAvI zakAya che. jema ke-- (1) 1 + 2 + 3 +4+5+6+7+(8x9)=100 (ra) (1+ 2 - 3-4) (1 - 6 - 7-8-9)=100 (3) 1+(243)+4+5+67+ 8 +9=100 (4) 12 + 3 4+5+ 67 + 8 +9 = 100 - - (5) (14 2 ) + 34 + 56 + 7 - 8 + 9 = 100 (6) - (1 x 2)- 3-4 --5 + (6 x 7) + (8 4 9) =100 7+ - =100 (7) 123 - 4 - 5 - 6 (8) 123 + 45 - 67 + 8 Jain Educationa International www = 100 For Personal and Private Use Only

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[ 3] saMkhyAonuM baMdhAraNa mAM 1 umerA ane 10nI saMkhyA banI. pachI te anukrame saMkhyAo vadhatI ja cAlI. gaNitajJoe tene se (100), hajAra (1,000), daza hajAra (10,000), lAkha (100,000), daza lAkha (1,000,000), keDa (10,000,000), daza keDa (100,000,000), abaja (1,000,000,000)ane tethI paNa AgaLa saMjJAo ApI. jaina zAstroe tenuM mApa zIrSaprahelikA eTale 194 aMka sudhI pahoMcADyuM, paNa sAmAnya vyavahAramAM te abajanI saMkhyAne ja bahu moTI gaNIne cAlavAmAM Ave che. A badhI saMkhyAonuM baMdhAraNa evuM che ke enA kene saravALo karIe ane e saravALAnI saMkhyAne mULa saMkhyAmAMthI bAda karIe to zeSa rahenArI saMkhyAne thI niHzeSa bhAgI zakAya. temAM kyAreya kazo phera paDe nahi. dAkhalA tarIke- 10 1 + 0 = 1 10 - 1 - 9 11 : 1 + 1 = 2 11 - 2 = 9 12 1 + 2 = 3 12 - 3 = 9 1 + 3 = 4 13 - 4 1 + 4 = 5 14 - 1 - 9 15 1 + 5 = 6 15 - 6 = 9 1 + 6 = 7 16 - 7 1 + 7 17 - 8 1 + 8= 9 18- 9= 9 1 + 6 = 10 19-10=9 2 + 0 = 2 20 - 2 = 18 | 0 -+ ja + ra ja + | | | 0 0 | | | 0 0 0 | | 0 da + ta - + + 20

Page #21
bIjI paNa keTalIka saMkhyAo juo 35. 3+5 = 8, 3pa - 8 = 27 9 | 27 3 27 86. 8+ 6 = 14. 86 - 14 = 7ra 9 | 72 | 8 72 137. 1 +3+ 7 = 11. 137 - 11 = 126 9 ! 126 14 126 , 000 2543. 2 +5+4+ 3 =14. 2543 - 14 = 2529 9 | 21ra9 | 281 - 2529 0 0 0 0 12658. 1+2 + 6 + pa + 8 = 22 . 12658 - 22 = 12636 9 | 12636 / 1404 12636 00001.

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saMkhyAnuM A badhAraNa khyAlamAM rAkhIne gaNitajJo. nIce praga karI batAve che ?' (1) koI paNa saMkhyA lakho. ' eka vyakti saMkhyA lakhe cheH 26534 (2) tenA AMkaDAne saravALo karo. te vyakti AMkaDAne saravALo kare che : , , 2 + 6 + 5 + 3 +4= 20. (3) A saMkhyAne bAjue rAkhe ane lakhelI saMkhyA mAMthI eka AMkaDe cekI nAkhe. . te vyakti 2 6pa3 4 mAMthI 6 cekI nAkhe che. (4) bAkI rahelI saMkhyAmAMthI saravALAnI rakama bAda kare. te vyakti 2pa34 mAMthI 20 bAda kare che, eTale 2514nI saMkhyA zeSa rahe che. (5) je saMkhyA zeSa rahI tenA AMkaDAne saravALe kare. te vyakti saravALo kare che. 2+5 +1+ 4 = 12. (6) zuM pariNAma AvyuM ? }' uttaramAM te vyakti 1ranI saMkhyAM rajU kare che, eTale gaNitajJa kahe che ke tame 6 nA AkaDe ceka che. e sAMbhaLI pelI vyakti Azcarya pAme che. paraMtu ahIM gaNitajJa te eTaluM ja kare che ke sAMbhaLelI rakamamAM kaI saMkhyA umerIe te pariNAma 9 ke 18

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sA. ' (1) (4) - Ave. ahIM saMkhyA 12 hatI, eTale teNe javAbamAM da kahyo, kAraNa ke 12 mAM 6 umeravAthI ja 18 Ave che. A prayoga cheDA pheraphAra sAthe nIce pramANe paNa karI zakAya cheH pravega karanAre kahevuM kesabhAmAMthI cAra jaNa UbhA thAo ane eka kAgaLanI kApalI para ThIka lAge te saMkhyA lakho. e cAre kApalI eka jaNane Ape ane tene saravALo kare. (3) temAM mArA taraphathI 107nI saMkhyA Umere. je pariNAma AvyuM tene AMkaDAne saravALo karo ane tene bAjue rahevA de. have pariNAmanI saMkhyAmAMthI kaI paNa eka AMkaDe cekI nAkho. je saMkhyA bAkI rahI temAMthI saravALAnI rakama bAda kare. (7) have je saMkhyA rahI tenA AMkaDAne saravALo kare. je javAba maLe temAM keTalA umerIe te 9 ke 18 Ave, eTaluM ja jovAnuM e saMkhyA barAbara cUikele AMkaDo samaja. dAkhalA tarIke cAra vyaktioe nIce pramANe gaNita karyuM

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187 1 274 3 1092 ja 2163 3716 + 107 pravegakartA taraphathI lakhAvAyelI. 3823 aMkane saravALe 3 + 8 + 2 + 3 = 16. 3823 mAMthI 8 ceka, bAkI rahyA 323. temAMthI 16 bAda thayA, eTale rahyA 307. tenA aMkane saravALe 3 + 0 + 7 = 10. have 10mAM 8 umerIe te ja 18 Ave, eTale cukele AMkaDo 8 che. je rakamamAMthI 7 ke 9 cUkyA hoya te javAbamAM che ke e vikalipaka javAba ApavAnuM rahe che, kAraNa ke temAM 0 cekayuM haze ke 9, e khAtarIpUrvaka kahI zakAtuM nathI. dAkhalA tarIke cAra vyaktioe nIce pramANe gaNita karyuM : 253 4 184 887 ga 306 gha 1730 -+200 magartA taraphathI. 1930

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A rakamanA aMkane saravALe 1+9+3+0=13 che. have 1930 mAMthI 3 cekayuM che, to bAkI rahyA 193.. temAMthI 13 bAda thayA, eTale rahyA 180: tenA aMke. saravALe 1 + 8+ 0 =9 che. have 9 mAM 0 umerIe te 9 Ave ane 9 umerIe to 18 Ave; eTale cukele AMkaDe 8 ke 9 che. mAnI le ke 1930 mAMthI 9 cUkyo hota te. pariNAma kevuM Avata? e paNa joIe. ' " A rakamane saravALe 1+9+3=13 che. have 1930 mAMthI 9 cUkyo che, te bAkI rahyA 130. temAMthI 13 bAda, karyA te rahyA 117. tenA aMkane saravALe 1 + + 7=9 che. have 9 mAM 0 umerIe te 9 Ave ane 9 umerIe te 18 Ave, eTale cukele AMkaDo 8 ke 9 che. - A saMkhyAonA baMdhAraNanI bIjI vizeSatA e che ke te je AMkaDAothI banelI hoya, te AMkaDAne upaga karIne keI paNa saMkhyA banAvIe ane meTImAMthI nAnI bAda karIe te zeSasaMkhyA evI ja rahevAnI ke jene 9 vaDe niHzeSa bhAgI zakAya. dAkhalA tarIke 26. ahIM 2 ane 6 mAMthI 62 evI bIjI saMkhyA banI zake che. temAM 26 karatAM 62 moTI che, eTale da2 mAMthI 26 bAda, karavA joIe. 36 A rIte 36 nI saMkhyA zeSa rahI to te 9 thI niHzeSa bhAgI zakAya evI che.

Page #26
9036(4 36 bIjo dAkhala 156. AmAMthI nIce mujaba saMkhyAo banI zake cheH 165, 516, 561, 615, 651. have A badhI rakame 156 karatAM moTI che, eTale temAMthI 156 bAda karavA joIe. 165 -1pa6 009 ahIM 9 pote ja hAjara che. 516 -1pa 360 A saMkhyAne 9 thI niHzeSa bhAgI zakAya che. 9 ! 360 | 40 00 0. pa61 -156 405 A saMkhyAne 9 thI niHzeSa bhAgI zakAya che.

Page #27
9) 405 45 | 405 ! 615 -156 459 A saMkhyAne paNa 9 thI niHzeSa bhAgI zakAya che. 9 ( 459 | pa1 459 000 6pa1 -1pa6 45 A saMkhyAne paNa 9 thI niHzeSa bhAgI zakAya che. 9 | jalpa | papa 495 A siddhAMtane upaga karIne gaNita nIce prAga rajU kare che (1) tamAre TelIphona naMbara lakho, athavA moTara naMbara lakhe, athavA kaI paNa eka saMkhyA lakhe. mitra TelIphona naMbara lakhe che. 32476.

Page #28
(2) have te naMbaramAMthI game te eka saMkhyA banAve. - mitra temAMthI 24763 evI saMkhyA banAve che. (3) moTI saMkhyAmAMthI nAnI saMkhyA bAda kare. mitra tema kare cheH 32476 -24763 7713 (4) AvelI saMkhyAne saravALe kare. pariNAmamAM be aMka Ave te tene pharI saravALe kare. mitra tene saravALo kare cheH 7 + 7 + 1 + 3 = 18 = 1 + 8= 9. (5) temAM cha umere. mitra temAM cha umere cheH 9 + 7 = 16 (6) A rakamamAM tamAre janma thayo hoya e sAlanA pAchalA be AMkaDA umero. mitrane janma sane 196ramAM che, eTale te 12 umere che : 16 + 12 = 28 (7) pariNAma zuM AvyuM? mitra kahe che H 28. eTale gaNitajJa kahe cheH "te tamane hAla (sane 1994mAM) para varSa thayA che, kharuM ne?" ane mitranA Azcaryane pAra rahetuM nathI. A

Page #29
- kevI rIte zodhI kADhayuM?" e prazna tenA manamAM gheLAyA che, paraMtu gaNitajJa te A vastu bahu saraLatAthI zodhI. kADhe che. tene e khabara che ke game te rakama dhArI haze paNa tene AkharI aMjAma lmAM Avaze ane temAM 7 umeravAthI e saMkhyA 1danI banaze. have mitre 28 kahyA, eTale teNe 12 umeryA haze, e nakkI thayuM. A 12 eTale 1912, te kaMI 1812 saMbhave nahi. have je manuSya 1912mAM janmyo hoya, tene 1994nI sAlamAM para varSa thAya, e dekhItuM che, paNa A rIte tenI rajUAta karavAthI vismayanuM vAtAvaraNa jAme che ane gaNitanuM gaurava vadhe che. che. karaja s vir : #

Page #30
[4] camatkArika saMkhyAo je saMkhyA guNana AdimAM camatkArika pariNAma batAve tene camatkArika saMkhyA samajavAnI che. AvI keTalIka saMkhyAonI ahIM rajUAta karI che. tnI saMkhyAnuM guNana karIe te temAM eka prakArane camatkAra dekhAya che. jemake - 0 x + + + 0 0 I || || || | 0 0 0 + = + - + \ 0 5 + 0 0 x || 0 9 x 2 = 18 = 1 + 8 = 9 9 X 3 = 27 = 2 + 7 = 9 9 44 = 36 = 3 + 6 = 9 4 5 = 45 = 4+ 5 = 9 x 6 = 54 = 5 + 4 = 9 9 x 7 = 63 = 6 + 3 = 9 9 X 8 = 72 = 7 + 2 = 9 9 X 9 = 81 = 8 + 1 = 9 94 10 = 90 = 9 + 0 = 9 9411 = 9 = 9 + 6 = 18 = 1 + 8= 9 9412 = 108 = 1 + 0 + 8= 9 A rIte 9ne keI paNa saMkhyAthI guNIe te paNa tenA AMkaDAne saravALo 9 ja Avaze. jemake 94 137 = 1233 = 1 + 2 + 3 + 3 = 9 9 x 258 = 2322 = 2 + 3 + 2 + 2 = 9

Page #31
I | ` I h X GU >> lmy J X 91nI saMkhyA paNa guNanamAM pitAnI camatkRti batAve che. jema ke 1 4 91 = 091 2 X 91 = 182 3 4 91 = 273 4 4 91 = 364 5 X 91 = 4papa 6 X 91 = pa46 7 X 91 = 37 8 4 91 = 7ra8 9 X 91 = 819 A pariNAmanI UbhI hAra juo te prathama hAramAM 0thI 8 sudhInA aMke kamazaH goThavAyelA che, bIjI hAramAM 9 thI 1 sudhInA aMke anukrame utaratA krame goThavAyelA che ane trIjI hAramAM 1 thI 9 sudhInA aMko caDatA kAme goThavAyelA che. 1089nI saMkhyA paNa camatkArika che. guNanamAM te nIcenuM pariNAma darzAve che ? 1 4 1089 = 1089 2 4 10899 = 2178 3 4 1089 = 3ra67 4 x 1089 = 43pada 5 x 1089 = pa44pa 6 4 1089 = 6pa34 7 4 1089 = 7623 8 8 1089 = 8712. 9 X 1089 = 9801

Page #32
AnA pariNAmamAM e khUbI che ke pahele tathA trIje AMkaDe ane bIjo tathA cotho AMkaDo 9 ne saravALe darzAve che. jema ke 1 + 8 = 6 0 + 9 = 9; 2 + 7 = 6 1 + 8= 9 vagere. vaLI UbhI hAramAM pahelI be hAro caDate krama ane bIjI be hAra utarate kama batAve che, 3367nI saMkhyA paNa camatkArika che. tenuM guNanaphala juo - 3367 4 33 = 111111 3367 4 66 = 222222 3367 X 99 = 333333 3367 4 132 = 444444 3367 X 165 = 255555 33674 198= 666666 3367 X 231 = 999999 3367 X 264 = 888888 3367 X 297 = 999999 76923mAM paNa ghaNo camatkAra chUpAyeluM che. jema ke 76923 4 1 = 0 7 8 9 2 3 76923 x 10 = 7 6 9 2 3 0 76923 X 9 = 6 9 2 3 0 7. 769ra3 4 12 = 9 2 3 0 7 6 76923 X 3 = 2 3 0 7 6 9. 76923 4 4 = 3 0 7 6 9 2 pariNAmanI saMkhyAo ADI vAMce ke UbhI vAMco paNa sarakhI ja jaNAze. tenI bIjI racanA A pramANe thAya che ?

Page #33
14 76923 x 2- 1 2 3 84 6 76923 x 7 = 53 8 46 1 76923 x 5-3 84 6 1 5 76923 x 11 =8 4 6 1 5 3 76923 4 = 4 6 1 5 3 8 76923 4 . 6 1 5 38 4 AmAM paNa pariNAmanI saMkhyAe ADI ane UbhI sarakhI ja vaheMcAya che. pa26, 315, 789, 473, 684, 210 A aDhAra aMkanI saMkhyAmAM moTA camatkAra rahelA che. tene game te aMkathI guNA paNa tenA badhA ja AMkaDAe uttaramAM AvyA kare che. dAkhalA tarIke pa26 315 789 473 684 210 x 3 1 578 947 368 421 052 630 AmAM uparanI sakhyAnA pAMcamA aMkathI badhA ja AMkaDA kramaza uttaramAM AvyA che ane AgaLanA 4 AMkaDA khAkI rahyA, te paNa tyAra pachI kramazaH geADavAyelA che. je dAkhalo : pa26 315 789 473 684 210 x 5 2 631 578 947 368 421 050 AmAM uparanI rakamanA bIjA aMkathI ja punarAvana zarU thayuM che. ane tyArabAda bAkI rahelA AgaLane eka aMka paNa goThavAi gayelA che. * gaNita-rahasyanA sAtamA prakaraNamAM bIjI ghaNI camatkArika sakhyAo ApelI che.

Page #34
[5] saMkhyAnA pirAmIDa guNAkAra tathA saravALAnA vegathI saMkhyAnA pIrAmIDa bane che. evA cAra pIrAmIDa ahIM ApavAmAM AvyA che ? II X II X II I 0 X 9 + 1 = 1 1 X 9 + 2 = 11 12 X 9 + 3 = 111 123 X 9 + 4 = 1111 1234 X 9 + 5 = 11111 12345 X 9 6 = 111111 123456 X 9 + 7 = 1111111 1234567 X 9 + 8 = 11111111 12345678 X 9 + 6 = 111111111 123456789 = 9 + 1 = 1111111111 + II I II II w (2) 11 4 11 = 121 111 4 111 = 12321 1111 4 1111 = 1234321. 11111 4 11111 = 123454321 111111 4 111111 = 12345654321 1111111 4 1111111 = 1234567654321 11111111 4 11111111 = 1234567876543 21 111111111 4 111111111 = 12345678987654321 II

Page #35
9X 9 + 7 = 88 9 X 98+ 6 = 888 9 X 987+ pa = 8888 94 9876 +4=88888 9898765 + 3 = 888888 9 x 987654 + 2 = 8888888 9 X 9876543 + 1 = 88888888 9 X 98765432 + 0 = 888888888 94 987654321 + 1 = 8888888888 II 1 X 8 + 1 = 9 12 X 8+ 2 = 98 123 48+ 3 = 987 1234 X 8 + 4 = 9876 12345 X 8 + 5 = 98765 123456 X 8 + 6 = 987654 1234567 X 8 + 7 = 9876543 12345678 X 8 + 8 = 98765432 123456789 X 8 + 8 = 987654321

Page #36
[$] saravALAnI keTalIka rIteA 1 thI mAMDIne anukrame lakhAyelA kAi paNa aMka sudhInA saravALA karavA hAya te te nIcenI rIte karI zakAya cheH je aMka sudhInA saravALe karavA hoya te aMka lakheA. tene AgaLanA aMkathI guNA ane piraNAmane 2 thI bhAge. je saMkhyA Ave te kharAkhara saravALe samajavA. dAkhalA tarIke 1 thI 5 sudhInA saravALA keTale ? 5 x 6 = 30 : 2 = 15 1 thI 10 sudhInA saravALA keTalA ? 10 x 11 - 110 : 2 = 55 1 thI 20 sudhIneA saravALeA keTalA ? 20 x 21 = 420 + 2 = 210 eka bagIcAmAM pahelA divase 1 vRkSa ugyuM, bIjA divase 2 vRkSa ugyAM, trIjA divase 3 vRkSa ugyAM, A krama 150 divasa sudhI cAlu rahyo, te tyAM te badhAM maLIne keTalAM vrukSA ugyAM?

Page #37
150 X 151 150 7504 150 4 22650 + 2 = 113rapa vRkSe. eka manuSya pahelA divase 1 rUpiyAnuM dAna kare che, bIjA divase 2 rUpiyAnuM, trIjA divase 3 rUpiyAnuM to varSamAM keTaluM dAna kare che? * 360 4 361 - 360 21604 10804 -- - 12960 + 2 = 64980 rUpiyAnuM. cAlu rIte saravALA karyA hota te keTalI saMkhyAo lakhavI paData? ane temAM samaya tathA zakitane keTale vyaya thAta? 1 thI zarU thaIne je rakama bevaDI thatI hoya tene saravALe nIcenI rIte karI zakAya che je saMkhyA sudhIne saravALe kare che tene ra thI guNe ane temAMthI 1 ocho kare. je pariNAma Ave, te barAbara saravALo samaja.

Page #38
18 .: ahIM bevaDAtA kame keTalIka saMkhyAo lakhI che, tene saravALe karI jevAthI khAtarI thaze. 16 ahIM sudhIne saravALo 31 thAya che. have uparanI rIte tenuM gaNita karIe te- 16 2 = 32 - 1 = 31 e rIte javAba maLe che.. 32 128 256 512 ahIM sudhI saravALe 1023 thAya che. have. uparanI rIte tenuM gaNita karIe te- pa12 42 = 1024- 1= 1023 javAba maLe che. jyAM vadhAre saMkhyA hoya tyAM te A rIta ja upagI nIvaDe che. 5 9 13 17 21 22 29 A samAMtara 7 rakame che. (dareka saMkhyAnI vacce. 4nuM aMtara che, mATe samAMtara) tene saravALe karavo hoya te mAtra ATaluM ja karavAnuM 17 madhya saMkhyA 47 = 119. 11 19 ra7 35 43 51 59 67 75

Page #39
A 9 samAMtara saMkhyA che. tene saravALe kara heya te mAtra ATaluM ja karavAnuMH 43 madhya saMkhyA 4 9 = 387. - jyAM saMkhyAo bekI hoya tyAM madhya saMkhyA hatI nathI. AvA prasaMge chellI saMkhyA cheDI daIne saMkhyAne ekI banAvavI ane uparanI rIte ja kAma levuM. pachI temAM chellI saMkhyA umerI devI, jema ke 216 220 224 228 232 236 A cha saMkhyAne saravALo kare che, te ra36 ne bAjue rAkhavI. bAkI rahI pa saMkhyAo. tenI madhya saMkhyA 224 che, mATe 224 4 5 = 1120 + 236 =13pa6. A tene uttara che. je kRmika saMkhyAo nAgagatie lakhAya to tenI UbhI paMkitaonA saravALA eka sarakhA Ave che ane bhAre ramUja pedA kare che. jemake - 1 2 3 1 2 3 4 8 7 6 5 9 10 11 12 12 11 10 16 15 14 13 26 26 26 34 34 34 34 A rIte lakhAtI saMkhyAonI zarUAta 1 thI ja

Page #40
1 karavI joie, evu nathI. tenI zarUAta game te aMkathI karI zakAya che. jema ke . 9 10 11 12 18 17 16 15 14 13 19 20 21 22 23 24 30 29 28 27 26 25 31 32 33 34 35 36 42 41 40 39 38 37 147 147 147 147 147 147 7 eTaluM khyAlamAM rAkhavAnu ke nAgagatie lakhAtI saMkhyA eka pakitamAM game teTalI hAya, paNa tenI hAra te 4-6-8--10 e rIte bekI ja hAvI joI e; anyathA AvuM pariNAma AvI zakatuM nathI. saravALAne cakAsavAnI rIta che, te paNa ahI" jaNAvI daie. saravALAenI saMkhyAonA AMkaDAne saravALA kare ane tene 9 thI bhAgeA. je zeSa vadhe te mAjIe rAkheA. pachI pariNAmanA AMkaDAnA saravALA karI ane tene 9 thI bhAgeA. je zeSa vadhe te uparanA zeSa jeTalA ja heAvA joie. jo pheraphAra dekhAya te samajavuM ke saravALA kharAkhara nathI, anyathA kharAkhara che.

Page #41
dAkhalo : 1387 4529 8054 3196 1 + 3 +8+ 7 = 11 4+5 + 2 + 9 = 20 8 + 0 + 5 + 4 = 17 3 +1+9+ 6 = 19 9) 75 (8 72 03 zeSa 17166 pariNAma 1 + 7 + 1 + 60 + 6 = 21 9) 21 (2 18 03 A saravALe barAbara che. saravALAnI cakAsaNInuM vizeSa vivecana gaNita-siddhinA chaThThA prakaraNamAM ApeluM che.

Page #42
[ 7 ] bAdabAkIno tALa bAdabAkIne tALo meLavavAnI khAsa jarUra paDatI nathI, paNa meLavavA dhArIe te meLavavAnI rIta che. uparanI saMkhyAnA AMkaDAne saravALo kare. pachI nIcenI eTale bAda karavAnI saMkhyAnA AMkaDAno saravALo karo. prathamanA saravALAmAMthI e bAda kare. kadAca nIcenI saMkhyAnA AMkaDAne saravALo meTo hoya to uparanI saMkhyAmAM 9 ke 18 umerI pachI temAMthI bAda kare. te saMkhyAne 9 thI bhAgo. je zeSa vadhe te bAjue rAkhe. - have bAdabAkInuM je pariNAma AvyuM hoya tenA AMkaDAne saravALe karo ane tene 9 thI bhAge. tenA je zeSa vadhe te upara pramANe ja havA joIe. na hoya te bAdabAkI nathI, ema samajavuM. dAkhalA tarIke - 8 9 + 7 43 9 0 1 6 5 4 1 9 2 0 0 7 2 4 1 5 5 1 8 9 4 ahIM uparanI saMkhyAnA AMkaDAne saravALe 8+ 9 + 5 + 7 + 4 + 3 9 + 0 + 1 = 46 che ane bAda

Page #43
24 karavAnI saMkhyAnA AMkaDAno saravALe da+5 + 4+ 1+9+ 2 + 0 + 0 + 7 = 34 che. te 46 - 34 = 12 saMkhyA AvI. tene 9 thI bhAgatAM 1 bhAgaphaLa AvyuM ane 3 zeSa rahyA. have pariNAmanI saMkhyAnA AMkaDAne saravALe kare. 2+ 40 + 1 + 5 + 5 + 1 + 8 + 9 + 4 = 39 che. tene 9 thI bhAgatAM 4 bhAgaphaLI AvyuM ane 3 zeSa rahyA, eTale A bAdabAkI che.

Page #44
[ 8 ] guNAkAranI virATa zakti gaNitamAM sahuthI adhika camatkAra lAvanAra guNAkAra che. te saMkhyAne vistAra ghaNI jhaDapathI kare che ane prakRtinAM aneka aNaukelyAM raho ApaNI sAme khullAM kare che. eka vastunI sAmAnya krame vRddhi thAya ane bIjI vastunI guNAnukrame vRddhi thAya, te be vacce keTaluM meTuM aMtara paDI jAya che? e nIcenI tAlikA jevAthI samajI zakAze : sAmAnya kAme vRddhi guNAnukrame vRddhi (1) 1 + 2 = 3 (2) 3 + 2 = pa (3) 5 - 2 = 7 4 42 = () 7 + 2 = 9 8 4 2 = 16 (5) 9 + 2 = 11 16 42 = 32 (6) 11 + 2 = 13 2 = (7) 13 + 2 = 15 64 42 = 128 (8) 15 + 2 = 17 128 4 2 = 256 (9) 17 + 2 = 19 256 4 2 = 512 (10) 19 + 2 = 21 pa12 4 2 = 1024 (11) 21 + 2 = 23 1024 x 2 = 2048 ja 1 X 2 = 2 = x || x || ka | ||

Page #45
36 (12) ra3 + 2 = 25 2048 8 2 = 4096 (13) 25 + 2 = 27 4096 42 = 8192 (14) 27 + 2 = 29 8192 4 2 = 16384 (15) 29 + 2 = 31 163844 2 = 3ra768 (16) 31 + ra = 33 3ra768 42 = 65536 1 mAM reja benI vRddhi | 1 roja bevaDA jAya te thAya te mA divase 33 | seLamA divase papa36 thAya. thAya. sAmAnya vRddhi ane guNanane A taphAvata samajAvavA mATe judA judA dezamAM judI judI kathAo pracalita che. te mATe ApaNe tyAM "bhATanA cekhA"nI kathA kahevAya che. eka vAra kaI bhATe rAjasabhAmAM jaI ghaNAM ja suMdara, kavite lalakAryA. AthI rAjA khuza thaye ane teNe bhATane InAma mAgavA kahyuM. bhATa ghaNo catura hatuM. te hAtha AvelI taka kema javA de? paraMtu teNe atyaMta namratA dhAraNa karIne kahyuM. "mahArAja! mAre vizeSa joItuM nathI, mAtra cha mAsa sudhI cokhAne bamaNe dANa Ape. eTale Aje 1, AvatI kAle 2, trIjA divase ja, ema roja bamaNA." rAjAe kahyuM : "AmAM zI meTI vAta che? je tArI IcchA AvI ja hoya te tane e pramANe cekhA ApIza." . rAjAe koThArIne hukama karyo ke tamAre "A bhATane ja cekhAne bamaNe dANe Apa."

Page #46
- 7 A te rAjAne hukama, eTale tenuM ullaMghana thaI zake nahi. bIjA divasathI ja tene amala thaye ane te bhATane cekhAne bamaNo dANe apAvA lAgyuM. paraMtu A rIte 40 divase vyatIta thayA ke keThArIe mahArAjanI mulAkAta lIdhI ane jAhera karyuM ke "mahArAja ! ApanA hukama mujaba bhATane roja cokhAne bamaNe dANa apAya che, paNa AvatI kAlathI..." mahArAjAe kahyuM : "acakAo cho kema ! je kahevAnuM hoya te spaSTa kahI de." koThArIe kahyuM : "AvatI kAlathI e pramANe dANe ApI zakAya ema nathI." mahArAjAe kahyuM : "enuM kaMI kAraNa? mArI AjJAne anAdara karavAnuM zuM pariNAma Avaze, te jANe che ne?" keDArIe kahyuM: "mahArAja! ApanI AjJA mAre zirasAvaMdha che, paNa ApaNA keDAra taddana khAlI thaI gayA che, eTale cokhA ApI zakAya evI sthiti nathI." mahArAjAe kahyuM: "mArA cokhAnA bhaMDAre te ghaNuM ja vizAla che. temAM lAkho maNa cokhA paDelA che, te ATalI vAramAM khAlI thAya zI rIte? keDArIe kahyuM : "mahArAja! atyAra sudhIne hisAba taiyAra che. te para najara nAkhavAnI kRpA kare, eTale badhI vAta samajAI jaze."

Page #47
pachI teNe cAkhAne hisAba A pramANe rajU karyo : pahele divase 1 da " 2 dANu trIjA cothA pAMcamA bIjA sAtamAM AThamAM navamAM dazamAM agiyAramAM 2pada ; 512 1024 2048 bAramAM teramA 818ra 16384 32768 caudamAM paMdaramAM seLamAM sattaramAM. aDhAramAM ogaNIsamAM vIsamAM ekavIsamAM bAvIsamAM 65536 131072 262144 para4288 , 1048576 20971para ,

Page #48
divase tevIsamAM cAvIsamAM pacIzamA chavIzamA sattAvIsamA aThThAvIsamA ogaNatrIsamAM trIsamAM ekatrIsamA batrIsamAM tetrIsamAM caitrIzamAM pAMtrIsamAM chatrIsamAM sADatrIzamAM ADatrIsamAM ogaNacAlIsamAM cAlIsamAM 4194304 dANA 8388608 , 16777ra16 ) 33554432 ) 67108864 ) 134217728 ra684354pa6 536870912 >> 1033741824 2147483648 ) 4284867286 8589934pa92 17179869184 34359738368 6871947673 137438953472 274877906944 ) 5497papa813888 ) koThArIe tenuM vajana paNa lakhyuM hatuM. 1 tolAnA 250-aDhIse dANA, 1 zerane 10000-daza hajAra dANA ane 1 maNanA 400,000-cAra lAkha dANA. A hisAbe kula 2,748,779 maNa, ra7 zera ane 3 tolA dANA

Page #49
ga apAyA hatA. ( upara thADA dANA vadhe tenA hisAba gaNyA na hateA). - mahArAjA to A sAMbhaLIne AbhA ja banI gayA. pote bhATanI mAgaNInA svIkAra karI levAmAM gaMbhIra bhUla karI hatI, e vAta temanA samajavAmAM AvI. pachI temaNe bhATane melAvI keTalAMka gAme InAmamAM ApyAM ane peAte vacanamukta thayA. bhATa paNa 'ghaNuM maLyuM che' ema mAnI rAjI thayA ane petAne raste paDyo. kadAca A kathA kalpita haze, paNa jagatamAM AvA anAve| ane che ane guNAkAranI virAT zaktithI anabhijJa manuSya tenA zikAra anI jAya che. eka vAra phAI ApakasAIvALA zrImaMta AgaLa cAlAka manuSya AvyA, teNe e zrImatane kahyuM ke zeThajI! cAlA ApaNe eka vepAra karIe. tamAre mane eka mahinA sudhI reja kevaDAtA rUpiyA Apave ane huM tamane rAjanA 1000 rUpiyA ApIza.' pelA zrImaMta samajyA ke A te kharekhara lAbhanA sAde che, ene jatA kema karAya ? eTale e sAkSI rAkhIne e sAdo kabUla karyo. bIjA divase pelA mANasa hajAra rUpiyA laine hAjara thayA ane badalAmAM 1 rUpiyA laI, namana karI cAlatA thayA. pelA zrImate kahyuM ke kevA bevakUpha che? jo enAmAM kaMI paNa akkala hAta te AvA sAde na karata.'

Page #50
bIje divase paNa pele mANasa hajAra rUpiyA laIne hAjara thaye ane badalAmAM be rUpiyA laIne cAlato thayo. paraMtu agiyAramA divase pelAe hajAra rUpiyA ApyA ane zrImaMtane 1024 rUpiyA ApavA paDyA, tyAre khyAla Avyo ke A te vadhAre ApavuM paDe che. paraMtu teNe e vicAra karyo ke tenA ghaNA rUpiyA gharamAM AvelA che, eTale thoDA vadhAre jAya tethI zuM?" - teNe bAramA divase 2048, teramA divase 40lDa ane caudamA divase 812 rUpiyA cUkavyA, eTale AvelA badhA pisA (14000 rUpiyA) cAlyA gayA ane uparathI 2384 rUpiyA vadhArAnA ApavA paDyA ! hajI te seLa divasa bAkI hatA. temAM A pramANe rUpiyA ApavAnuM cAlu rAkhe te AMkaDe kyAM pahoMce?gaNatarI karIne hisAba kADhyo to kula rakama 1,07,37,41,824 eka abaja, sAta koDa ne sADatrIsa lAkha upara thaI! AthI bIjA divase te pelAne page paDyo, AjIjI karI ne 10 lAkha rUpiyAmAM samAdhAna karyuM! jyAM bevaDAnI A sthiti che, tyAM egaNAnuM te kahevuM ja zuM? tenI tAkAtane khyAla ApavA mATe temAM eka ukti prasiddha che, te ahIM rajU karavI rasaprada thaI paDaze.

Page #51
42 bApa beTI lADakI, phephaLa mAge cAra; hATe hATe caMgaNA, soLe hATa apAva. eka zrImaMtanI putrI ghaNI lADakI hatI. teNe eka vakhata pitAne kahyuM: "he pitAjI! mArI eka nAnI mAgaNane svIkAra kare. pitAe kahyuM : "evI mAgaNa zI che?" putrIe kahyuM: "mAre phephaLa (pArI) joIe che." pitAe kahyuM: "keTalAM?" putrIe kahyuM: "ApaNA bajAramAM 16 hATa che, te dareka hATethI cagaNa apAvo." pitAe kahyuM: "emAM zI moTI vAta che? hamaNAM ja munImane hukama karuM chuM ke te tArI sAthe cAlaze ane. tArI mAgaNI mujaba phephaLa apAvI deze." zeThane hukama thaye, eTale munIma zeThanI putrIne sAthe laI bajAramAM cAlyo. sAthe phephaLa levA mATe khAdInI eka majabUta kathaLI lIdhI. pahelI dukAnethI 1, bIjI dukAnethI ja, trIjI dukAnethI 16, cethI dukAnethI 64, pAMcamI dukAnethI 256 ane chaThThI dukAnethI 1024 phephaLa lIdhAM ke kethaLI bharAI gaI. temAM (nIce jaNAvyA mujaba) 136pa pheraphaLa bhegAM thayAM hatAM ?

Page #52
- 1 4 'ja 256 1024 1365 ane pa0-para phephaLanuM 1 ratala vajana gaNIe te lagabhaga 27 ratala vajana thayuM hatuM. AthI munImane khyAla Avyo ke A kAma te jabaruM che. tenA mATe zaNano meTe kothaLe levuM paDaze. pachI teNe zaNane mATe kothaLe lIdhA ane kAma AgaLa calAvyuM. sAtamI dukAnethI 4096 ane AThamI dukAnethI 16384 phephaLa lIdhAM ke 21845 phephaLa thayAM ane tenuM vajana 400 ratala thayuM, eTale be kothaLA pUrA bharAyAM. have teNe keTalA kothaLA joIze, tene hisAba gaNe. navamI dukAne dazamI dukAne - 32 agiyAramI dukAne bAramI dukAne 512 teramI dukAne 2048 caudamI dukAne 8192 paMdaramI dukAne 32768 seLamI dukAne 131072 174710 128

Page #53
eTale lagabhaga paNa be lAkha kethaLA joIe ane eka kethaLA mAlanA Azare 50 rUpiyA gaNIe te tene mATe 87 lAkha rUpiyA cUkavavA paDe! munamanA te rAma ramI gayA. teNe kahyuM: "bena bA! tame te gajaba karyo. ApaNe badhI milakata vecAI jAya te paNa ATalA pheraphaLa kharIdI zakAya nahi. vaLI ApaNA zaheramAMthI te zuM, ApaNA AkhA dezamAMthI bhegA karIe te paNa ATalAM phophaLa kyAMthI thAya? mATe Apane be hAtha joDIne vinaMti karuM chuM ke ghare pAchA cAle ane bApujI pAsethI bIjI koI vastu mAgI le !" ApaNe kahIe chIe ke "vAtane te vA laI jAya." teno sphaTa guNAkAra karI Ape che. eka mANasa navIna samAcAra laIne savAranA 8 vAgatAM zaheramAM AvyuM ane teNe ja mANasane vAta karI. have te dareka mANasa 15 mInITamAM bIjA 4 mANasane vAta kare te pariNAma nIce mujaba Ave : pahelI paMdara mInITa bIjI trIjI che 16 ? ? ka , ahIM 9 vAge. cothI ,, pAMcamI chaThThI sAtamI ,, 256 1024 4086 16384

Page #54
45 AThamI paMdara mInITa. ahIM 10 vAge. 6pa336 navamI che ? 261344 dazamI ,, , 1045376 agiyAramI , 4181504 bAramI , , ahIM 11 vAge. 16726016 eTale mAtra 3 kalAkamAM ja e samAcAra 1 keDa 67 lAkha mANasane pahoMcI jAya! A ja hisAba prajanananI kriyAne lAgu kare. eka mANasane 4 putra thAya ane te darekane 4 putre thatAM rahe te mAtra AThamI peDhIe ja temAM 6pa336 putro hoya ! jamaikA TApumAM UMdare zeraDInA vADhane ghaNuM nukazAna karatA hatA, eTale emanA duzamana gaNAtA noLiyAnI 4 jeDa bhAratamAMthI lAvavAmAM AvI. enI vaMzavRddhi chUTathI thavA lAgI, eTale ceDA ja vakhatamAM Akhe beTa neLiyAthI bharAI gaye. A neLiyAoe daza varSamAM badhA UMdarano nAza karI nAkhe, paNa pachI teo sarvabhakSI banyA ane cAre tarapha bhAre raMjADa karavA lAgyA. A trAsamAMthI kema bacavuM? e eka moTo prazna thaI paDayo. sUkSma jaMtuo ke je ghaNuM iMDAM mUke che ane thoDA ja samayamAM temAMthI bIjA jaMtuo pedA thAya che, tenI saMkhyA apratihata rIte vadhatI rahe te kyAM pahoMce?

Page #55
-eTale kudarate saMhAranuM zastra potAnA hAthamAM rAkhyuM che ane te ene barAbara upaga kare che. AkAzI gaNitamAM guNakAranI A virATa zakti khUba ja kAma lAgI che ane Aje paNa lAgI rahI che. A prakaraNa pUruM karatAM pahelAM eTaluM jaNAvI daIe ke guNAkAra game teTale moTo hoya te paNa e nI maryAdA choDato nathI. vadhAre spaSTa kahIe to guNyanA AMkaDAne saravALe karIe, tene guNakanA AMkaDAnA saravALAthI guNIe ane je rakama Ave tene 9 thI bhANatAM jeTalA zeSa vadhe teTalA ja guNAkAranA pariNAmanA AMkaDAno saravALo karIne 9- thI bhAgatAM zeSa vadhe. emAM jarA paNa phera paDe nahi. phera paDe te jANavuM ke guNAkAramAM kyAMka bhUla che. dAkhalo : 1247 guNya. 1 + 2 + 4 + 7 = 14 4365 guNAMka 3 + $ + pa = 14 6235 14 x 14 = 196 - 9 74824 21 bhAgaphaLa, cha zeSa. 37414 455155 pariNAma : 4 + 5 +5 + 1 + 5 + 5 = 25 25 = 9, 2 bhAgaphaLa, 7 zeSa. baMne zeSa sarakhA che, tethI guNAkAra barAbara che.

Page #56
[ 9 ] guNAkAranI be ane khI rIte avadhAnakAro guNAkAranI be sakhyAe joi tenI nIce AMkaDA lakhavA mAMDe che. temAM prAyaH nIce jaNAvelI rItanA upayega kare che. 29 x 47 1363 (1) prathama ekamanA be AMkaDAne guNavA ane tenA IMDenA AMkaDAne jAkhamAM lakhavA. vRddhi veDha rAkhavI. A rIte 9 x 7 - 63 mAMthI 3 javAmamAM lakhyA ane 6 vRddhi veDhe rAkhI. (2) pachI ekamanA AMkaDAthI khIjI rakamanA dazakanA ane dazakanA AMkaDAthI khIjI rakamanA ekamane guNI, tenA saravALeA karI, vRddhi umeravI. tema karatAM je sakhyA Ave tenA chellA AMkaDA dazakanA sthAne lakhave ane vRddhi veDhe rAkhavI. A rIte 9 x 4 = 36 27 = 14

Page #57
48 36 + 14 + 6 vRddhi = 56 javAmAM dazakanA veDha rAkhI. (3) A rIte ane AMkaDAnuM sAmasAma guNana thaI rahe eTale prathamanA be AMkaDA cheDI devA ane bAkI rahelA AMkaDAnuM guNuna karavuM. temAM je saMkhyA Ave temAM vRddhi umeravI ane javAba zataka tathA hajAranA sthAne lakhavA. A rIte 2 4 4 = 8 thayA. temAMthI da sthAneA lakhyA ane pa vRddhi 8 + 5 vRddhi = 13. ahIM 3 zatakanAM sthAnA ane 1 hajAranA sthAne lakhAyeA che. jyAre traNa AMkaDAneA guNAkAra hAya tyAre kriyA nIce mujaba thAya che H 342 4123 42066 2 X 3 = 6 6 ekamanA sthAne mUko. vRddhi kaMi nathI. 2 X 2=4 443=12. 4+ 12 Jain Educationa International H 16. 6 dazakanAM sthAne mUkayeA, 1 vRddhi veDhe rAkhI. hava ekamanA AMkaDAne zatakathI ane zatakanA For Personal and Private Use Only

Page #58
49 AMkaDAne ekamathI guNyA ane vacce rahelA dazakanA AMkaDAne sAmasAmA guNyA. e badhAne saravALe karI je saMkhyA AvI, temAMthI chelle AMkaDe javAbamAM lakhyuM ne vRddhi veDhe rAkhI. 2 x 1 = 2 3 * 3 = 9 2 + 0 = 11 442 = 8 11 +8+ 1 = 20 temAMthI 0 zatakanA sthAne lakhyuM ne 2 vRddhi veDhe rAkhI. have sAmasAmA badhAnA guNAkAra thaI gayA che, eTale chelA AMkaDA 2 ane 3 choDI dIdhA. bAkI rahelA AMkaDAne sAmasAme guNAkAra karyo. 441=4, 3 4 2 = 6,4+ 6 = 10 + 2 vRddhi = 12, temAMthI 2 hajAranAM sthAne lakhe ne ? vRddhi veDhe rAkhI. have dazakanA sthAnamAM rahelA 4 ane 2 ne paNa cheDI dIdhA, eTale 3 tathA 1 bAkI rahyA. tene guNAkAra karyo 3 41 = 3 + 1 vRddhi= 4. te javAbamAM daza hajAranA sthAne lakhe. A rIte Akhe javAba 42066 lakhe. cAra ke tethI adhika AMkaDAnA guNAkAramAM paNa A ja rItane upaga thAya che. mAtra sAmasAmA kayA AMkaDAnI cekaDI levI ane kene sIdho guNAkAra kare? te lakSamAM rAkhavAnuM hoya che. A

Page #59
dAkhalA tarIke 4126 4 1235 5095610 6 4 5 = 30 0 javAbamAM, vRddhi 3 64 3 = 18 2 4 5 = 10 18 + 10 + 3 vRddhi = 31 1 javAbamAM, vRddhi 3 6 42 = 12 1 4 5 = 5 2 43 = 6 12 +5 + 6 + 3 vRddhi = 26 6 javAbamAM, vRddhi 2 6 41= 6. 4 45 = 20 2 x 2 = 4 14 3 = 3 9 + 20+4+ 3 + 2 vRddhi = 3pa. 5 javAbamAM, vRddhi 3 have ekamanA sthAne rahelA 6-pa cheDyA. bAkInA AMkaDAne cekaDIthI guNAkAra karyo. te A rIte ? * 2 x 1 = 2 , 44 3 = 1ra ! 1 4 2 = 2 2 + 12 + 2 + 3 vRddhi = 19. 9 javAbamAM, 1 vRddhi, ;

Page #60
have dazakanA sthAne rahelA 2-3 paNa cheDaDyA. bAkInA AMkaDAne cekaDIthI guNAkAra karyo. te A rIte ? X 2 1 X 1 = 1 442 = 8 1 + 8 + 1 vRddhi = 10. 0 javAbamAM, 1 vRddhi. have sonA sthAne rahelA 1-2 paNa cheDaDyA ane chevaTanA 441 = 4 + 1 vRddhi = 5. te javAbamAM lakhyA. A rIte 509510 javAba Abhe. mahAvaro paDyA pachI A rIte maukhika guNAkAra karI zakAya che. temAM AMkaDAnI dhAraNuM barAbara rahevI joIe. bIjI rIta (1) DAbI tarapha guNya lakhave ane jamaNI tarapha guNAMka lakhave. vacce guNakAranuM nizAna mUkavuM. guSyanA AMkaDAne ardhA karatAM javuM ne apUrNAMka choDI devo. (3) guNakane bamaNe karatAM javuM. (4) guNyane ardhA karatAM je bekI AMkaDA Ave tenI sAmenA pariNAmane cekaDI mAravI, eTale ke tenA saravALAne kAmamAM levA nahi. (5) bAkInI rakamane saravALo karavo.

Page #61
para dhAro ke 39 ne 4ra thI guNuvA che, teA tenuM gaNita nIce pramANe thaze :~ guNya guNAMka 39 x 42 19 x 84 9 x 4 x 2 x 1 4 1638 dhAro ke 17 ne 26 zrI guNavA che, te gaNita nIce mujaba thaze :~ 17 4 26 Jain Educationa International 8 4 para X 4 x 104 x 2 X 208 X 1 x 416 442 dhAro ke 18 ne 27thI guNavA che, te ekI a'ka eTale 27 lakhI tenI sAme ekI aMka eTale 18 lakhavA ne. guNAkAra karavo. 27 4 18 13 X 36 168 336x 672 x 1344 6 X 72 x 3 x 144 1 288 486 For Personal and Private Use Only

Page #62
pa X X X X je bekI pahelAM lakhIne ekI pachI lakhe te guNAkAra barAbara nahi Ave. jema ke 18 4 27 9 4 54 4 108 4 2 4 216 X 1 4 512 pa66 A javAba kharo nathI. have baMne rakama bekI hoya tevA dAkhalA laIe:16 ne 18 thI guNavA che, te tenuM gaNita nIce mujaba thazeH 16 4 18 4 18 X 16 4 8 X 36 4 9 X 32 . 8 X 2 X . 8 X 8 X 2 X 144 X 2 x 128 4 1 X 288 X 1 X 256 X X X X X X X X X X X 288 288 24ne 22 thI guNavA che, te tenuM gaNita nIce mujaba thaze : 24 4 22 X 22 X 24 4 92 x 88 X 11 X 48 X X X X X X X X 3 4 176 1 X 3para 2 X 191 4 * 1 X 384 , , - - - 28 pa28

Page #63
- - - - - - - - - - - - - - - - - [ 10 ] guNAkAranA keTalAka prayoga (1) guNAkAranuM ulaTuM-sUlaTuM pariNAma (1) 10 thI pa0 sudhInI samAna aMtaravALI koI paNa traNa rakame lakho. (2) tene saravALe kare. (3) tene 34 thI guNe. pariNAma bAjue rAkhe. tene 67 thI guNA. pariNAma bAjue rAkhe. AmAM tame ulaTuM-sUlaTuM joI zakazo. eTale ke prathamanA be AMkaDA pAchaLa AvI gayA haze ane pAchaLanA be AMkaDA prathama AvI gayA haze. A prayoganI rajUAta barAbara thAya to ghaNe AnaMda, AvI zake che. dAkhala : 21 23 25 A traNa samAMtara rakame che.. 21 + 23 + 25 = 69 4 34 x 67 276 2074 23 [ 46 483 4144 46 [ 23 -

Page #64
papa (2) guNAkAramAM badhA ane samAna lAvavA ahIM eka rakama lakhavAmAM AvI che. temAMthI koI paNa AMka para nizAna kare. tene chellA aMkathI guNatAM je rakama Ave tenA vaDe A rakamane guNe to uttaramAM badhA ja AMkaDA nizAna karyA mujabanA Avaze. 12345679 dAkhalo: 6 X 9 = 54 12345679 * 54 49382716 6172835 4 - - - 4 X 9=36 12345679 4 36 74074074 370370374 12345679 4 63 7 X 9 = 63 u7037037 740740744 339999999

Page #65
- - - - - - - - - - (3) eka aMka parathI Akhe guNakAra kahI Apo prathama kSaNe te A na mAnavA jevI vAta lAge che, paNa vizeSa vicAra karatAM temAM tathya jaNAze. A prayoga . nIcenI rIte karAvavAmAM cheH (1) 1 thI 8 sudhImAM kaI paNa aMka dhAre. (2) tene 3 thI guNe. (3) pharI 11 thI guNa. (4) pharI 33 thI guNe. (5) have je pariNAma AvyuM hoya. temane kaI paNa eka aMka kahe ane te keTalAme che, te jaNAve. aMkagaNanA DAbI bAjuthI jamaNI bAju tarapha 1, 2, 3, 4 ema karavAmAM Ave che, te bhUlavAnuM nathI. A guNAkArane je AMkaDe kahevAmAM Avaze, te parathI A guNAkAra kahI zakAze, kAraNa ke A javAbanA pahelA ane trIjA AMkaDAne saravALe 9 AvavAne ane bIjA tathA cethA AMkaDAne saravALe paNa 9 ja AvavAne. vaLI pahelAM karatAM bIjo AMkaDo 1 ocho hovAnuM ane trIjA karatAM cotho AMkaDe eka vadhu hovAne. kharUM kahIe to A prayoga 108nI camatkArika saMkhyA para jAyele che ke jene ullekha prastuta pustakanA cothA prakaraNamAM karavAmAM Avyo che. 3 4 11 X 33 = 1089

Page #66
1 thI 9 sudhInA koI aMkanuM 1089 thI guNana karavAmAM Ave, eTale upara jaNAvyuM tevo camatkAra temAM dAkhala thAya che ane te parathI bAkInI badhI saMkhyAo kahI zakAya che. dAkhalo : 3 dhAryA che, to gaNita nIce mujaba thaze? X 3 4 11 88 4 33 297. 297 X 3267 pariNama. javAbamAM ema kahevAmAM Ave ke bIje AMkaDo 2 che, te bAkInA AMkaDA nIce mujaba kahI zakAze. pahelAM karatAM bIje AMkaDo eka ocho hoya che, eTale pahele AMkaDe 3 hevo joIe. pahele ane trIjo AMkaDo maLI saravALe 9 thAya che, te trIje AMkaDo 6 hevo joIe; ane trIjA karatAM cotho AMkaDo eka vadhAre hoya che. mATe te cha hovo joIe.

Page #67
bIje dAkhala 4 11 8 | | | | |2. A 21 21 X 231 X 33 693 . 63 X 7623 pariNAma. javAbamAM ema kahevAmAM Ave ke trIje AMkaDo 2. che, te bAkInA AMkaDA nIce mujaba kahI zakAze. pahele ane trIje ke trIjo ane pahele AMkaDe maLI 9 thAya che, mATe pahele AMkaDo 7 hovo joIe. pahelA AMkaDA. karatAM bIjo eka ocho hoya che, mATe te 6 hevo joIe ane trIjA AMkaDA karatAM cothe eka vadhAre hoya che, eTale te 3 hevo joIe. (4) guNAkAranI pUti. A kArya pramANamAM kaThina che, paNa tarkazaktine upayoga karIe te siddha thaI zake che.

Page #68
para 1 X 8 X 30 pUrti nIce mujaba : 415 4 382 830 3320 1245 158530 xx4 4 1 4 4 2 44 5 1 3 4 0 pUti nIce mujaba. 325 * 147 4 x 2227pa 1300 325 47775

Page #69
[ 11 ]. bhAgAkAranI vizeSatA je saMkhyAne bhAgavAnI hoya tene "bhAjya" kahevAya che, je saMkhyA vaDe bhAgavAnI hoya tene "bhAjaka" kahevAya che, je bhAgamAM Ave tene "bhAga" ke "bhAgaphaLa kahevAya che ane je vadhe tene "zeSa" kahevAya che. bhAgAkAranI A paribhASA barAbara khyAlamAM rAkhavI joIe. eka saMkhyA 3, 6 ke thI niHzeSa bhAgI zakAze ke kema ? e jANavuM hoya to tene AMkaDAne saravALe kare. je e 3, 6 ke 9 thI niHzeSa bhAgI zakAtuM haze, te e rakama niHzeSa bhAgI zakAze, anyathA nahi. dAkhalA tarIke 1458nI saMkhyAnA AMkaDAne saravALe 1 +4+5 + 8 = 18 thAya che. have 18 ne 3, 6 tathA 9 vaDe niHzeSa bhAgI zakAya che, eTale 1458 ne 3, 8 ke 9 vaDe niHzeSa bhAgI zakAze. 3) 1458 (486 6) 1458 (243 9) 1458 (162 1458 1458 1458 0 0 0 0. 0 0 00 bIje dAkhala 1562. tenA AMkaDAne saravALe 1+5 + 6 + 2 = 14 thAya che. have 14 ne 3, 6 ke

Page #70
9 vaDe niHzeSa bhAgI zakAtuM nathI, eTale 1562 ne 3, 6 ke 9 vaDe niHzeSa bhAgI zakAze nahi. 3) 1562 (para0 6) 1562 (260 9) 1562 (173 1550 1560 1557 0002 0 002 2005 eka saMkhyAne 11 thI niHzeSa bhAgI zakAze ke nahIM? te jANavAnI paNa rIta che. e saMkhyAnA DAbI bAjuthI zarU karIne ekI aMke saravALe kare. pachI bekI ane saravALe kare. e be vacceno taphAvata 11 vaDe niHzeSa bhagate haze athavA 0 barAbara haze te e saMkhyA 11 vaDe niHzeSa bhAgI zakAze, anyathA nahi. dAkhalA tarIke 1358624, A rakamane zuM 11 vaDe niHzeSa bhAgI zakAze? te uttara mATe nIcenI prakriyA kare , 1 + 5 + 6 + 4 = 16 - 3 + 8+ 2 = 13 mATe niHzeSa bhAgI zakAze nahi. paraMtu ahIM 1358654 evI saMkhyA hatA te tene 11 vaDe niHzeSa bhAgI zakAta, kAraNa ke - 1+5 + + 4 = 16 3 + 8 + 5 = 16 taphAvata 0 barAbara che, eTale tene 11 vaDe niHzeSa

Page #71
bhAgI zakAya, have bhAgAkAranI sAmAnya rIte tene gaNuM jue. 11) 1358654 (123514 11 38 33 pa6 55 t 44 44 / 5 eka vAra e prazna pUchAye hatuM ke "eka AMkaDA pharIthI na Ave evI nava AMkaDAnI 11 vaDe niHzeSa bhagatI moTAmAM moTI ane nAnAmAM nAnI rakame kaI?" tenA uttaramAM nIcenI be saMkhyAo rajU thaI hatI : (1) moTAmAM moTI 987, dapara, 413 (2) nAnAmAM nAnI 102, 347, 586. have uparanA niyama pramANe A baMne saMkhyAone tapAsI jue.

Page #72
(1). ekI 9 + 7 +5 +4, + 3 = 28 bekI 8+6+ 2 + 1 = 17 28 - 17 = 11. tethI A saMkhyAne 11 vaDe niHzeSa bhAgI zakAya. (2) ekI 1 + 2 +4+5 + 6 = 18 bekI 0 - 3 + 7 + 8 = 18 18- 18= 0 tethI A saMkhyAne 11 vaDe niHzeSa. bhAgI zakAya. je saMkhyAnA cheDe 5 ke 0 hoya tene pa vaDe niHzeSa 'bhAgI zakAya che. have bhAgAkAranA tALA saMbaMdhI vicAra karIe. e -tALe meLavavA mATe prathama nIce pramANe cokaDI karo : have temAM nIce pramANe rakamanA AMkaDAne saravALe mUke : bhA . - bhAgaphaLI zaSa.

Page #73
have bhAjakane bhAgaphaLathI guNI temAM zeSa umero. tene uttara be AMkaDAmAM AvatuM hoya te tene pharI saravALe kare. te saravALe bhAjya rakamanA saravALA jeTaluM ja Ave te bhAgAkAra sAco ane phera paDe te kheTa samajavo. dAkhaloH 16) 639142 (3946 48 159 144 151 144 74 102 006 7 (6 + 3 + 9 + 1 +4+ 2 = 25 = 2 + 5 = 7) _4 (3+9+9+4+ 6 = 31=3 + 1 = 4) da

Page #74
have 7 44 = 28 + 6 zeSa = 34 = 3 + 4 = 7. bhAjyane saravALo paNa eTaluM ja che. mATe bhAgAkAra barAbara che. bIjo dAkhala 82) 13074pa9 (15956 487 410 998 738 465 410 papa9 492 067 1 + 8= 8+4= 12 = 1 + 2 = 3. upara bhAjyamAM 2 che, mATe bhAgAkAramAM 1 nI bhUla che. tapAsa karatAM 4 nI nIce nizAna kareluM che, tyAM 1 nI bhUla che. tyAM 3 joIe. eTale khare bhAgAkAra nIce mujaba AveH

Page #75
1 82) 1307459 (15944 82 d Jain Educationa International 487 410 774 738 365 328 379 328 51 145 = 5+6 = 111 + 1 = 20 have bhAgAkAra kharA che. For Personal and Private Use Only

Page #76
[12] bhAgAkAranI prati nIcenA bhAgAkAranI pUrti karavAnuM kAma ghaNuM ja kaThina hatuM, paNa gaNitajJoe temAM saphalatA meLavI che : ( 1 ) XXX) XXXXXX8 (XXX XXX XXXX XXXX XXXX 444 XXXX XXXX AmAM cAra sthaLe mAtra 4 ApelA che. bAkI badhuM zodhI kADhavAnuM che. tenA uttare cAra prakAre sAMpaDyA che? 943) 1337174 (1418 943 3941 3772 167 7544 7544

Page #77
949) 1343784 (1416 949 - - - - 3947 3796 1518 5694 5694 846) 1200474 (1419 846 3544 3384 1607 846 7614 7614 848) 1202464 (1418 848 354 3392 1526 848 6784 6784

Page #78
X X (X 6 X X X X XXXX) X X X X X X X XX X X XX XX XX X 7 X XXXXXXX X 7 X XXX X X X X X X X X X X X X XXX X 7 XX X X X X X X X XXXXXX X | A bhAgAkAranI pUrti be rIte sAMpaDI cheH 25473) 7375428413 (58781 da27365 1101778 1003784 878844 878311. 101 6331 1003784 125473 125473

Page #79
Go 124972) 4971636104 (39782. 374926 1222476 1124748 - 97281 874804 1024770 888776 249944 249944 000000

Page #80
je rakameAnA saravALA sarva bAjuthI sarakhA Ave, ane temAM keAI paNa rakama be vAra na AvelI hAya tene satAbhadra yaMtra kahevAmAM Ave che. tenA aneka prakAre vidyamAna che. jemake-- nava koThAno sarvatobhadra catra >> [ 1 ] satAbhadra temaja bIjA yaMtrA 1 p ha 2 OM 1 V 8+16 = 15 3+5+7=15 4 +9+2 - 15 Jain Educationa International 3 ADI yakti 8 + 3 + 4 = 15 1 + 5+ 9 - 15 * + 7 + 2 = 15 2 7 2 9 4 UbhI paMkti 8 + 5 + 2 = 15 6 +5+4 - 15 trAMsI pa`kti (kaNa rekhAo ) For Personal and Private Use Only 2 e 6 3 - 5 1 >> 8

Page #81
72 AmAMne! prathama yaMtra che. bAkInAM e yaMtra tenA vikalparUpa che. 12 5 10 = 27 11= 27 = 27 A rIte traNathI bhAjya evI koI paNa rakamane yaMtra banAvI zakAya che; paraMtu te saMkhyA 15 nI uparanI hAvI joie. dAkhalA tarIke 27 nA AvA yatra anAvave hAya tA 5 thI 13 sudhInI saMkhyAonI sthApanA karIne te banAvI zakAya. te A pramANe :-~~ ha - pa'dariyA tarIke prasiddha " 13 27 27 27 AmAM siddhAMta e che ke trIjA bhAganI rakamane ba gaNavI ane tenI nIcenA krame sthApanA karavI : 6 + 3 6-4 Ja + 1 - 2 Ga + ra 6-1 che. thayelI che. trAMsA 12 + 9 + 6 = 27 10 + + 8 = 27 a a + 4 6-3 tra padmariyA yaMtramAM = 15+3=5 che. ane temAM A krama pramANe ja aMkAnu AyeAjana thayeluM che, jema ke Jain Educationa International + 3 = 8, 6 - 4 - 1, 5 + 1 = 6. sattAvIzA yaMtramAM anu sthAna ne prApta thayelu bAkInI caDautara upara pramANe ja 27:3= 9. For Personal and Private Use Only

Page #82
3 trikeNu yaMtra 2 + 5 + 9 + 1 = 17 1 + 6 + 9 + 3 = 17 3 + 8 + 40 + 2 = 17 seLa keThAne sarvate bhadra yaMtra prathama vikalpa | 9 16 2 |= 34 vAMse saravALe 6 | 3 13 12]= 34 9 + 3 + 8 + 14=34 15 10 8 ! 1 = 34 7 + 13 + 10 + 4 = 34 - 3 4 | 5 | 11 14|= 34 34 34 34 34 bIjo vikalpa 1 _| 12 = 34 1pa 4 : 9 | da = 34 trAMse saravALo 10 5 16 3 = 34 1 +4+ 16 + 13 = 34 8 11 2 1 13) = 34 12 +9+5 + 8 = 34 34 34 34 34

Page #83
| | | | | | | | | | * 2 | | | | | | | | * | | | na | | P " | | | | | | | | | | | | | | | ra ? - 2 - 6 4 | | | | | | | | | | & 2 | | Ane saravALo cAra ADI lITImAM, cAra UbhI lITImAM ane be trAMsI lITImAM, e pramANe daza rIte sarakhe AvyuM. A sivAya bIjI paNa aneka rIte 34. Ave che. jemake - 7 (15) - For Personal and Private Use Only - 34 9 | | | | | | | | | | P = | | | | | | | | | | | | 5 | Dha * | | * * * | | | | | | | | | Jain Educationa International

Page #84
| | | | | | | | - | | | | | | 1 | | cha | | | | | | | | | | | | | | | | | - - 11 14=34 - - pacIza koThAne sarva bhadra yaMtra | 22 | 9 15 16 | = 65 | 14 20 21 2 8 = 65 1 7 13 19 25 = 18 24 5 6 12 = 10 11 17 23 4 = 65 65 65 65 65 trAse saravALe 22 + 20 + 13 + 6 + 4 = 65 16 + 2 + 13 + 24+ 10= 65 A yaMtrane "pAMsaDiye ja tara" kahevAmAM Ave che. nIcenA yaMtramAM 1 thI 25 sudhInA aMkanI 5 hAramAM evI rIte sthApanA karI che ke jene ADe, Ubhe - -

Page #85
tathA trAse saravALe 6pa Ave, ane yaMtramAM je bhAga kALI lITIthI batAvyuM che, tenI aMdaranA badhA AMkaDA ekI Ave tathA tenI bahAranA badhA AMkaDA bekI Ave. 5 9 13 17 21 | | | 12 16 25 4 8 chatrIsa kaThAno sarvate bhadra yaMtra 35 1 6 26 19 24] = 111 32 7 21 23 = 111 = 111 = 111 5 34 12 14 = 111 4 36 29 13 18 11 | = 111 111 111 111 111 111 111 trAse saravALe 35 - 32 + 2 + 17 + 14+ 11 = 111 24 + 23 - 22 + 33 + 5 + 4 = 111 | - - - *. . ,

Page #86
|| . || || | | [77 ogaNapacAsa kaThAno savabhaka yaMtra 28] 19, 101 48 39 [ 30]= 175 , 29 27] 18 9 7 47, 38= 175. 37] 3pa 26. 17 175 45 36 34 25 ! 175 24 15 13 = 175 12 3 43. 41 32 23 21 = 17pa. | 20 | 11, 2, 49 40 31 | 22 = 17pa 175 175 175 175 175 175 175 trAsa saravALo 28 + 27 + 26 + 25 + 24 + 23 + 22 = 175. 30 + 40 + 8 + 25 + 4ra + 3 + 20 = 175 cosaTha koThAno sarvatobhadra yaMtra 45 19 18 48 27 37 40 26 | 44 22 23 41 30 36 33 | 24 42 43 21 34 17 47 46 20 39 | 8 58 59 5 50 50 , 16 1351] 60 6 7 57 14 para 49 15]= I 61 3 2 64 11| pa3 56 / 10 = 260 260 260 260 260 260 260 260 260

Page #87
trAMse saravALe - -45 + 22 + 43 + 20 + 55+ 16 +49 + 10 = 260 26 +-33 + 32 + 39 + 4 + 59 + 6+ 61 = 260 be vIzA yaMtro

Page #88
* (1) 10 + 9 + 5 + 2 = 26 (2) 2 + 12 + 11 + 1 = 26 (3) 1 + 8 + 7 + 10 = 26 (4) 6 + 5 + 12 + 3 = 26 (5) 3 + 11 + 8 + 8= 4 (1) 4 + 9 + 9 + 6 = 26 -- -

Page #89
kAThAnA nakhara. [ 14 ] mananeA dhArelA AMka kahenArAM catro 1 ' m p ja re 11 13 15 17 19 21 23 25 27 29 31 Jain Educationa International 2 m AS r 9 10 11 14 15 18 19 22 23 26 27 30 31 3 m jha 12 13 14 15 20 21 22 23 28 oom 31 4 . 10 11 12 13 14 15 24 25 26 27 28 29 30 For Personal and Private Use Only 31 5 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31

Page #90
tame A kaThAmAMthI koI paNa eka AMka dhAro. pachI te je je keDAmAM hoya te juo mAne ke tame manamAM 15 ne AMka dhAryo che, to te 1, 2, 3 ane 4 naMbaranA koThAmAM che. have te koThAne mathALe rahelI saMkhyAne saravALo karI juo. te 1 + 2 + 4 + 8 -- 15 ne javAba Apaze. mAno ke tame manamAM 23 ne AMka dharyo che, te te 1, 2, 3 ane pa naMbaranA keDAmAM che. have te koThAne mathALe rahelI saMkhyAno saravALo karI juo. te 1 + 2 + $ + 16 = ra3 ne javAba Apaze. have dareka kaThAmAM 16 saMkhyAo che, tene judA yaMtramAM lakhavI hoya te lakhI zakAya ane evA pAMca yaMtro vaDe paNa A ja pramANe dhArelI rakama kahI zakAya. jema ke- 2 3 | 10 11 14 15 1 3 5 7 9 11 13 15 17 19 21 23 | 25 27 29ii 31 18 19 22, 23 26 27] 30 * 31

Page #91
12 13 14 15 13 14 15 24 25 26 27 20 21 22 23 28 29 30 31 mymykh 28 ' 29 30 31 7 18 19 20 21 22 23 24 25 26 27 | 28 29 30 31 AmAM yaMtrane prAraMbha aMka laIne saravALo karavAnuM hoya che. mAno ke tame ra6nI saMkhyA dhArI, te te 2, 4 ane pa naMbaranA yaMtramAM che. have tenA prAraMbhanA aMke 2 + 8 + 16 heI te barAbara ra6nI saMkhyA batAve che. A rIte cha yaMtro 63 sudhInI ane sAta yaMtrathI 127 sudhInI saMkhyA batAvI zakAya che.

Page #92
[ 15 ] siddhAMkanA traNa prayoga siddha eTale nakkI karI rAkhele aMka ja javAbamAM Ave te siddhAMka kahevAya che. tenA traNa pratye ahIM rajU karavAmAM Ave che? prayoga karanAre 1 thI 50 sudhImAM keIpaNa eka naMbaranI pasaMdagI karavI ane te kAgaLa para lakhI prekSakane ApavI tathA tenA gajavAmAM rAkhavAnuM kahevuM. pachI tene 50 thI 100 sudhInI koIpaNa saMkhyA dhAravA kahevuM. e saMkhyA dhArIne kAgaLa para lakhe, eTale tame je aMka lakhIne Apyo hoya te 99mAMthI bAda karatAM je rakama Ave te umeravA jaNAvavuM. dhAro ke tame ra3no aMka lakhIne Ape che, te 9 - 23 = 76 umeravA jaNAvavuM. saravALe thayA pachI DAbI bAjune pahelA aMka cekI nAkhave ane tene saravALAnI nIce lakhavA kahevuM. e baMne aMkano je saravALe thAya, te dhArelI rakamamAMthI bAda karAva. je pariNAma Ave te agAuthI ciThThImAM lakhI ApyA mujaba ja hovuM joIe. dAkhaloH prayoga karanAre 23 lakhyA che.

Page #93
ane te ciThThI aMka dhAranArane ApI che. aka dhAranAre have prayAga karanAra tene 99 - 23 = 76 umeravAnuM -- kaheze. DAbI bAjunA 1 cekIne nIce umeratAM mULa rakamamAMthI bAda karatAM 84 mAkI badhuM upara mujaba. haeNve 999 - 143 856 e e tame prathamathI lakhIne Ape traNa aMka mATe prayAga karanAre 100 thI 200 nI aMdaranI eka rakama nakkI karI te ciThThI para lakhI ApavI. sAmAne 200 thI 999 sudhInI kAIpaNa sakhyA. dhAravA kahevuM. 86 dhAryo che.. + 76 162 saravALe. 62 + 1 dAkhalA : pratyeAga karanAre 143 lakhIne ApyA. Jain Educationa International 63 86 - 63=23 raheze. che. prekSake 493 lakhyA che pracaMga karanAra 1856 umeravAnA kaheze. 1349 piraNAma Avaze. For Personal and Private Use Only

Page #94
85 temAMthI DAbI bAjunA aMka cekI nAkhatAM 349 + 1 493 ~ 350 9999 - 1416 143 ciThThI jIe. cAra aMka mATe pracAga karanAre 1000 thI 2000 nI aMdaranI eka 2kama nakkI karI te ciThThI para lakhI ApavI. sAmAne 2000 thI 9999 sudhInI kAI paNa saMkhyA lakhavA kahyuM. AkI badhuM upara mujaba. prayAga karanAre 1416 lakhI ApyA. prekSake Jain Educationa International 2697 dhAryo + 8583 11280 8583 temAMthI DAbI bAjunA 1 khAda karatAM 2697 -- 1281 1416 350 For Personal and Private Use Only 1280 + 1 1280 je upara lakhI ApyA che.

Page #95
(2) (1) koI paNa saMkhyA lakhe. (2) tenI pachInI saMkhyA lakhe. baMnene saravALe kare. (4) temAM.........9 umere. (5) te rakamanuM adhuM kare. (6) temAMthI mULa rakama bAda kare. (7) javAba pa Avaze. have 9 nA sthAne 11 umeryA hoya te 6, 13 umeryA hoya te 7, 15 umeryA hoya te 8, e pramANe umerelI rakama + 1 - 2 = javAba Ave. eTale jeTalA umeravA hoya te nakkI karI rAkhavA ane te anusAra javAba prathamathI lakhI Ape. dAkhalA : tame javAba 60 lakhI Ape. praznakAre 238 saMkhyA lakhI + 239 tenI pachInI saMkhyA lakhI 477 pariNAma AvyuM. + 119 ATalA umeravA joIe, kAraNa ke javAba 60 lAvavAno che. 596 298 AvelI rakamanA ardhA karyA. 298 -238 temAMthI mULa rakama bAda karI --

Page #96
bIjI badhI kriyAo dareka dAkhalAmAM sarakhI che. mAtra umeravAnI saMkhyA je javAba lAva hoya tenA karatA bamaNuM - 1 e pramANe lakhAvavI joIe. (3) traNa nahi jANelI saMkhyAonuM eka ja pariNAma! kharI rIte te A paNa siddhAMkane ja eka prayoga che. kAraNa ke temAM sAmI vyaktie zuM lakhyuM che? e pUchavAmAM AvatuM nathI ane chatAM tenuM pariNAma eka sarakhuM lAvI devAmAM Ave che, je pravega karAvanAranI marajI mujabanuM ja hoya che. prathama kaI paNa traNa vyaktione kahevuM ke tamane ThIka lAge tevI saMkhyA kAgaLa para lakhe. tame game te saMkhyA lakhI zake che, paNa gaNitanI saraLatA khAtara be ke traNa aMkanI saMkhyA lakhazo te ThIka raheze. teo A pramANe saMkhyA lakhI rahe, eTale temane gaNita karAvavuM. have pariNAma zuM lAvavuM che? te ApaNe manathI nakakI karavuM joIe, kAraNa ke te anusAra ja gaNita karAvavuM paDe. dhAro ke te badhAnuM pariNAma 240 lAvavuM che, te darekane nIce pramANe gaNita karAvavuM? (1) tamArI dhArelI rakamane 70 thI guNe. (2) temAM 22 umere.

Page #97
(3) AvelI saMkhyAne 14 thI bhAgeDa (4) kaMI zeSa vadhyA? javAba hAmAM ja AvavAne. kadI te ema kahe ke nA, zeSa kaMI vadhyA nathI, te jarUra gaNitamAM garabaDa thaI che, ema samajavuM ane tene : gaNita pharI karAvavuM. - (5) zeSane 30 thI guNo. ne.. (1) tamArI dhArelI rakamane 96 thI gu. (2) temAM 26 umere. (3) AvelI saMkhyAne 16 thI bhAgo. (4) kaMI zeSa vadhyA? (5) zeSa vadhyA hoya tene 24 thI guNa. ja ne. (1) tamArI dhArelI rakamane 154 thI guNa. (2) temAM 40 umere. (3) AvelI saMkhyAne 11 thI bhAga. (4) kaMI zeSa vadhyA? (5) zeSa vadhyA hoya temAM pa umero ane tene 20 thI guNe. have traNe ya jaNa javAba meLavI juo. teo darekane javAba 240 Avela joI jarUra Azcarya pAmaze.

Page #98
dAkhala : kAe ra7 dhAryA che, te tenuM gaNita nIce mujaba thaze ? 27 4 70 1890 + 22 14) 1912 (136 42 8 X 30 240 e 35 dhAryA che, te tenuM gaNita nIce mujaba thaze ? 35 210 3154 3360 + 26

Page #99
16) 3386 (211 32 reup 18 10 zeSa X 24 240 e 113 dhAryA che, te tenuM gaNita nIce mujaba thaze : 113 4 154 452 5654 1134 17402 + 40

Page #100
11) 17442 (1585 11 S | - 2 7 zeSa 4 20 240 vyaktioe game te saMkhyA dhArI hoya, paNa A rIte gaNita karAvavAthI tenuM pariNAma 240 ja Avaze. AnuM rahasya e che ke keI paNa saMkhyAne eka rakamathI guNa ane tenA avayava vaDe bhAgIe to zeSa 0 vadhe che, eTale 70 thI guNane 14 vaDe bhAgIe, 6 thI guNIne 16 vaDe bhAgIe ke 154 thI guNIne 11 vaDe bhAgIe temAM te zeSa 0 ja AvavAnuM. have temAM je

Page #101
rakama umeravAmAM Ave te evI hevI joIe ke bhAgavA chatAM zeSa vadhe. dAkhalA tarIke 22 umerIe ane 14thI bhAgIe to 8 vadhavAnA e niHzaMka. tene 30thI guNIe to 240 ja Ave. Aja rIte 26 umerIne 16 thI bhAgIe to 10 vadhAvAnA e niHzaMka. tene 24 thI guNae to pariNAma 240 ja Ave. tathA 40 umerIne 11 thI bhAgIe to 7 vadhavAnA e niHzaMka. temAM pa umerIe to 12 thAya. tene 20 thI guNae pariNAma 240 Ave.

Page #102
[16 ] gaMjIphAnA cAra prayoga (1) gaMjIphAnI DhagalIo nIce keTalA dANuM che? 1. eka gaMjI le ne temAMthI jekaranAM pAnAM kADhI nAMkhavAM. mAtra para pAnAM rahevAM joIe. pachI koI paNa eka vyaktine kahevuM ke tame A gaMjIphAnA pAnAMnI ThIka lAge teTalAM naMbaranI DhagalIo kare. jema ke 13, 15, 20, 24 vagere. paraMtu e naMbara e rIte gaNavA ke je naMbaranuM pAnuM nIce mUke eTalAM pAna ja samajavA. te pachI 1-1 pAnuM caDAvI te naMbara pUro kare. dhAro ke 13 pAnAnI DhagalI karavI che ane te paMjAthI zarU karI che, te pa+1+1+1+1+1+1+1+1 ema 13 pAnAM pUrAM karavAM. athavA 24 pAnAMnI DhagalI karavI che ane te dazAthI zarU karI che, te 10 + 14 bIjA pAnAM ema 24 pAnAM pUrAM karavAM. 3. DhagalIo karanArane karavI hoya teTalI karI zake che. 4. have teNe keTalA dANAnI keTalI DhagalIo karI che. te kahevuM joIe tathA tenI pAse keTalAM pAnAM vadhyAM che? te paNa kahevuM joIe.. pa. A sAMbhaLyA pachI gaNita karavuM. te A pramANe

Page #103
dANAne naMbara 4 DhagalIne naMbara + DhagalInI saMkhyA - vadhelA pAnAnI saMkhyA - 52 =nIcenA dANane saravALe. dAkhalA tarIke 13 dANAnI 4 DhagalIo che ane 21 pAnAM vadhelAM che, te gaNita nIce mujaba thazeH 13 44+ 4 = pada + vidhelAM pAnAM 21= 77. - pa2 = 25. te cAra DhagalI kholI nAkhatAM tenI nIcenA dANAne saravALe barAbara 25 haze. - pravega karI juo,eTale A vastu barAbara samajAze. (2) gaMjIphAnI traNa DhagalImAMthI ke pasaMda che, te kahI ApavuM. A paNa ghaNe ja camatkAra pamADe te praga che. temAM traNa DhagalIo kema banAvavI? e ja khAsa samajavAnuM che. pahelI DhagalImAM koI paNa sAta pAnAM rAkhavAM. bIjAmAM jene saravALe sAta te hoya eTalAM pAnAM rAkhavAM. dAkhalA tarIke 1 + 2 + 4 athavA 3 + 4 athavA 2 + pa vagere. ane trIjI DhagalImAM koI paNa raMgane mAtra eka satta ja rAkho. A rIte traNa DhagalIo taiyAra thayA pachI tene Tebala para mUkI mitrane kahevuM ke "juo, tame A traNa DhagalImAMthI zuM dhAraze? te huM agAuthI lakhIne ApuM chuM.' pachI eka kAgaLanI jarA moTI corasa kApalInI vacce 7 lakhIne te kApalI vALIne tene ApI devI ane gajavAmAM rAkhavA kahevuM.

Page #104
pa te tyAra pachI tene kahevuM ke tame game te eka DhagalI manamAM pasaMda kare. te kahe ke meM pasaMda karI, eTale tene kahevu ke te hAthamAM lai le. jyAre te hAthamAM laI le tyAre pahelI DhagalI lIdhI hAya te kahevuM ke tame keTalAM pAnAMvALI DhagalI leze te me' agAuthI lakhI ja Apelu che. tamArI DhagalInAM pAnAM gaNI jue, te sAta ja haze. pachI gajavAmAMnI ciThThI jotAM temAM cha nA AMkaDA lakhele joi ne jarUra Azcaya pAmaze, * have teNe bIjI DhagalI pasaMda karI hAya to kahevuM ke tamArA hAthamAM rahelA gaMjIpAnA dANA gaNeA. te dANA gaNaze teA sAta ja thaze. pachI tene gajavAmAM rahelI ciThThI upADIne jovAnuM kahetAM cha nIkaLaze, eTale Azcarya pAmaze. je trIjI DhagalI pasaMda kare te! kahevuM ke tamArI javAba cihnImAM lakheleA ja che, te kheAlIne jue, eTale khAtarI thaze. temAM cha lakhelA joi te jarUra Azcaya pAmaze. A khela mijalasamAM eka ja vAra karavA, vadhAre nahi; kAraNa ke vadhAre vakhata karatAM rahasya khullu paDI javA saMbhava che. (3) gaMjIphAnuM dhAreluM pAnu' kahI Apavu: 1. sAmAne gaMjIphA ApIne kahevuM ke tame AmAMthI

Page #105
da kAIpaNa 1 pAnuM yAre ane tenA naMbara kAgaLa para lakhA. pAnAnA dANA pramANe nabara samajavA. jo gulAma hAya tA 11, rANI hAya to 12 ane bAdazAha hAya to 13 gaNavA. 3. 2. tame je nakharanuM pAnu dhAyuM... hAya tenAthI vadhAre 1 nakhara lakheA. bAdazAhu dhAryo hoya to 14 lakhA. e khanene saravALo karI tene pa thI guNA. 4. have temAM kALI hAya to 6, cekaDI hAya to cha phulI hoya to 8, ane lAla hAya to 9 umero. 5. tenA saravALo jaNAve. 6. te je saravALo kahe temAMthI 5 bAda kare. 7. AvelI rakamamAM DALI mArjuna mAMkaDA pAnu batAvaze ne tyAra pachInA mAMkaDe raMga atAvaze. .. khasa, e ja pramANe javAba ApavA. dAkhalA : dhAranAre lAlane aDDo dhAryo che, to gaNita nIce mujaba thaze : Jain Educationa International + G 1 vadhAre 17 x 5 pAnAnA dANA 85 + G lAlanA guNAMka For Personal and Private Use Only

Page #106
89 AmAM AThathI aThTho ane navathI vAlanuM pAnuM samajAya che. (4) gaMjIphAnAM dhArelAM be pAnAM zodhI ApavAM. 1. gaMjIphAmAMthI game te 20 pAnAM bahAra kADhe. 2. tenI 10 joDI banAve. AmAM kaI paNa pAnAMnI sAthe kaI paNa pAnuM laI zakAya che. pachI temAMnI keIpaNa eka joDI dhAravAnuM kahe. 4. e dhArI lIdhA pachI kamaza: e jeDI uThAve. temAM kaI pAnuM AghuM pAchuM na thaI jAya tenuM khAsa dhyAna rAkhe. -pa. pachI te pAnAM nIce pramANe goThavatAM jAo : 1 3 2 5 7 9 11 13 8 12 15 10 4 16 17 19 18 14 6 20 goThavavAnI rIta evI che ke prathama 1 naMbara lakhe che tyAM pAnuM mUkavuM, pachI 2 lakhe che tyAM mUkavuM. pachI 3 lAge che tyAM, pachI 4 lakhe che tyAM. e rIte badhAM pAnAM naMbara pramANe geThavI devAM. AmAM abhyAsanI jarUra rahe che. keTalAka abhyAsa thayA pachI goThavavAnuM kAma sahaja thaI jaze. 6. have praznakArane eTaluM pUchavuM ke ahIM pAMca pAMca pAnAnI 4 hAra che, temAM tamArAM pAnAM kaI hAramAM che?

Page #107
7. 98 te je javAba Ape te parathI 2 pAnAM zoSIne ApI zakAya. te ema kahe ke mArA pAnAM pahelI hAramAM che; te te 1 ane 2 ja hovA joIe, kAraNa ke te sivAya keAI joDI temAM nathI. te ema kahe ke pahelI ane bIjI hAramAM che; te te 7 ane 8 hAvA joI e, kAraNa ke tA ja joDI maLe. jo te pahelI ene trIjI hAra kaDu tA 3 ane 4 heAvA joie. mULa mudde jenAthI joDI pUrI thatI hAya te e ja pAnAM temAM hAI zake, te sivAya nahi.

Page #108
[ 17 ] daza camatkArika prAge (1) gajavAmAM keTalA pisA che? te kahevAnI rIta 1. kAgaLa para tamAruM janmavarSa lakho. (I. sa. mujaba) tamArA jIvanamAM keI noMdhapAtra banAva banyo hoya te varSa lakhe. 3. tamArA gajavAmAM ke pAkITamAM jeTalA rUpiyA hoya teTalA umere. 4. tamane hAla keTalA varSa thayA, te lakha. 5. tamArA jIvanamAM je noMdhapAtra banAva banyuM hoya tene hAla keTalA varSa thayA, te lakhe. 6. te badhAne saravALe kare. 7. je pariNAma AvyuM hoya, te jaNAve. pariNAmamAMthI cAlu sAlanA bamaNuM bAda karavA ane vadhe teTalA paisA gajavA ke pAkITamAM samajavA. dAkhalo : janmavarSa 1906 ghaTanAvarSa 1917 gajavAmAM te para rUpiyA paisA S. hAla 58 varSa ghaTanAne 47 varSa 3980

Page #109
100 hAla 1964nI sAla cAle che, mATe 1644 2 = 3928. gaNitathI AvelI rakama 3980 - 3928 = para.. mATe para (bAvana) rUpiyA gajavAmAM che. (2) umara kahI devI. 1. tamArI umara lakho. 2. temAM 90 umere. AvelI saMkhyAmAMthI DAbI bAjune prathama AMkaDo. cekI nAkhe ane saMkhyAnI nIce lakhI umerI de. 4. temAM 9 umere. je javAba Ave te ja umara temAM lakhelI haze. dAkhala : 59 varSa (hAlanI umara che.) + 90 149 (temAMthI 1 cekatAM 49 rahe eTale + 1 saravALAmAM 49 levAnA che.) - 9 59

Page #110
101 dAkhalo bIjo : - 25 varSa ( hAlanI umara che.) + 90 115 (temAMthI 1 cekatAM 15 rahe, eTale saravALAmAM 15 levAnA che.) + 9 25 (3) janmatithi kahevI. ( vikrama saMvat anusAra) koI paNa vyaktie pitAnI janmasAla, mahine, pakSa, tithi ane vAra kAgaLa para lakhI rAkhyA hoya te gaNitanA AdhAre kahI devA. A prayoga mATe kaI paNa vyaktine tenI janmasAla, mahine, pakSa, tithi ane vAra eka kAgaLa para lakhI rAkhavA kahevuM. pachI tene nIce mujaba gaNita karAvavuM ? 1. janmasAlane cArathI guNo. 2. temAM 3 umere. 3. AvelI rakamane 100 thI guNa. 4. temAM mahinAne kamAMka umere. kArataka 1, mAgasara 2, Aso 12, e rIte mahinAne kamAMka samaja.

Page #111
102 che. temAM pa umere. 6. AvelI rakamane 100 thI guNa. che. temAM sudi pakSa hoya te 50 ane vadi pakSa hoya te zUnya umere. 8. temAM tithine AMka umero. 9. temAM 3 umero. 10. Avela rakamane 10 thI guNe. 11. temAM vArane kamAMka umero. ravivAra 1, sema vAra 2, e rIte vAranA kamAMka gaNavAnA che. 12. temAM 1 umero. 13. AveluM pariNAma saMbhaLAvI de. pariNAma 9 aMkanuM Avaze. temAM 1 aMka vadhI gaye heya ke ocho hoya to samajavuM ke gaNitamAM kaIka sthaLe bhUla che. te 9 aMka paikI prathamanA cAra aMke varSasthAnanAM samajavA. tene 4 thI bhAgatAM je bhAgaphaLa Ave te janmasAla. zeSa 3 vadhaze, paNa tenuM ahIM kaMI prajana nathI. tyAra pachInA be aMke mAsasthAnanA samajavAM. temAMthI pa bAda karatAM je saMkhyA Ave te mAsanI samajavI. tyAra pachInA be aMke pakSa ane tithinA samajavA. temAMthI 3 bAda karatAM je rakama Ave te pramANe tithi samajavI. have umaramAM 1 thI 15 sudhInA aMke hoya to vadi samajavI ane pa1 thI 65 sudhInA ake hoya te sudi samajavI.

Page #112
103 tyAra pachIne aMka vArasthAnane samajavo. temAMthI 1 bAda karatAM je pariNAma Ave, te pramANe vAra samajavo. temAM 1 thI ravivAra, 2 thI semavAra e pramANe vAra kahevA. janmasAla saM. 19darane phAgaNa vadi 8 ne ravivAra che, te tenuM gaNita nIce mujaba thaze ? 19ra 44 janmasAlane AMka 7848 + 3 niyama mujaba 7851 X 100 785100 = + mahinAne kamAMka niyama mujaba +5 785110 * 100 78511000 0 . + vadi pakSa che mATe tithine AMka niyama mujaba + 8 + 3 78511011 4 10

Page #113
785110110 + 1 + 1 38 36 785110112 7851 | 10 | 11 | 2 4) 7851 (1962 janmasAla 4 25 24 11 ho / 104 3 vAranA AMka niyama mujaba Jain Educationa International 10 -- 5 = 5 mATe phAgaNa mahine 11 3= 8 mATe vida AThama 2 - 1 = 1 mATe ravivAra (4) janmatArIkhanuM gaNita (IsvI sana anusAra ) eka vyakti kAgaLa para peAtAnI janmatArIkha lakhI rAkhe, pachI tene nIcenuM gaNita karAvavuM : 1. mahinAne naMkhara lakhA. For Personal and Private Use Only

Page #114
105 2. tenI pachInA mahinAnA nakhara lakheA. DIsembara hAya tA 13 lakhA. 3. tenA saravALA karo. 4. tene 5 thI guNeA. pa. tenI jamaNI bAju eka zUnya umero. 6. 100 nI aMdaranI eka sakhyA eleA ane enI aMdara joDI do. arthAt teneA saravALA kare. 7. temAM tArIkha umerA. 8. 100nI aMdaranI eka bIjI saMkhyA eleA ane tene saMkhyAnI jamaNI bAju lakhI nAkhe|. 9. temAM sAlanA chevaTanA e AMkaDA umero. 10. piraNAma jaNAveA. je saMkhyA pahelI umerI hAya temAM 50 umeravA ne khIjI saMkhyAne emane ema rAkhavI. A rIte je cAra aMkanI saMkhyA thAya te uparanA pariNAmamAMthI khAdya karavI. temAMthI janmatArIkha kharAbara maLI Avaze. dAkhalA : 18 mI mArca 1906, gaNita nIce mujaba : 3 mahinAnA AMka + 4 tenI pachInA kramAMka

Page #115
106, 7 pariNAma 4 5 35 pariNAma 35 + 0 = 350 350 + 37 praznakAre dhArelI 387 + 18 tArIkhane kramAMka 405 405 + 26 praznakAre dhArelI bIjI saMkhyA 40526 + 06 sAlanA chevaTanA be AMkaDA 40532 have pahelI rakama 37 umerI che tethI 37 + 50 niyama mujaba umeratAM 87 thAya ane bIjI rakama 26 che, te ema ne ema rAkhavAnI che, eTale kula rakama 8726 thAya. te umaranI rakamamAMthI bAda karavI. - 8726 3 1806

Page #116
17 3 = mArca mahino 18=18 mI tArIkha 06 = 1906 nI sAla. tAtparya ke prazna lakhanAre 18 mI mArca 1906. lakhelA che. (5) keTalA bhAI-bahena te kahevuM ? mitramaMDaLamAM AnaMda upajAve te A gaNitane eka nAnakaDe prayoga che. te nIcenI rIte karavo joIe? 1 jeTalA bhAI jIvatA hoya tenI saMkhyA lakho. 2 tene 2 thI guNe. 3 temAM 3 umere. 4 tene 5 thI guNa. pa temAM jeTalI bahene haiyAta hoya tenI saMkhyA umere.. 6 Avela pariNAmane 10 thI guNa. 7 temAM jeTalA bhAI-bahena gujarI gayA hoya, tenI saMkhyA umere tathA 1 umere. 8 AvelI saMkhyA jaNAvo. have je saMkhyA jaNAvavAmAM Ave temAMthI 151 bAda. karavA. tethI je pariNAma Ave temAM pahele aMka bhAInI saMkhyA, bIjo aMka bahenanI saMkhyA tathA trIje aMka maraNa pAmelA bhAI-bahenonI saMkhyA samajavI.

Page #117
* dAkhalo : 3 bhAI che, ja mahena che, r bhAI-mahena maraNa pAmelA che, te gaNita nIce mujakha thaze : 3 bhAInI saMkhyA x 2 |aa = the 108 45 + 4 bahenanI sakhyA 49 x 10 493 151 3-4-2 uttara Jain Educationa International traNa bhAI cAra mahena e bhAibahena maraNa pAmelA. kula nava jaNA. 490 + 2 maraNa pAmelA bhAI-mahena + 1 493 (6) vITI kayAM che ? vIMTI keNe lIdhI che ? kayA hAtha para che ? kaI AMgaLI para che ? kayA veDhA para che ? te jaNAvanArA A prayAga che. A prasega mATe nava mANasAne pasaMda karavA. temaNe pote peAtAne mATe kramazaH nakharA nakkI karI levA. For Personal and Private Use Only

Page #118
109 temane nIce pramANe gaNita karAvavuM : (1) je mANase vITI lIdhI hoya tene naMbara lakho ane. tene 18 thI guNa. (2) temAM 9 umere. (3) tene - 9 thI bhAgo. (4) bhAgaphaLane 5 thI guNe. (5) temAM hAthane naMbara umere. jamaNA hAthane naMbara 1 ane DAbA hAthane naMbara 2 samajavo. (6) tene 3 thI guNa. (7) temAM 9 umere. (8) tene 5 thI guNe. (9) tene 3 thI bhAga. (10) tene 2 thI guNe. (11) temAM AMgaLIne naMbara umere. aMgUThe 1, TacalI AMgaLI pa, e rIte AMgaLIne naMbara samajavo. (12) tene 10 thI guNo. (13) temAM 11 umere. (14) temAM veDhAne naMbara umero. sahuthI uparanA bhAga te. pahele veDhe, pachI te bIje veDhA ane hatheLIne. aDIne rahele te trIje veDhe. (15) temAM 8 umere..

Page #119
10 A rIte je javAba Ave temAMthI 819 khAda karavA. ethI cAra AMkaDAnI saMkhyA Avaze. temAM DAkhA hAthathI gaNatAM je paheleA AMkaDA Avaze, te nakhara vALI vyaktie vITI lIdhI haze. bIjo AMkaDA Ave te pramANe hAtha samajavo, trIjA AMkaDAne AMgaLInA nakhara samajavo ane ceAthA AMkaDAne veDhAnA nakhara samajavo. dAkhalA : 2 jo mANasa, DAbeA hAtha, pahelI AMgaLI, bIjo veDhA. tenuM gaNita nIce pramANe thaze : 2 mANasane naMbara x 18 = 36 + 9 = 45-9= 5 x 1=25+2 hAthanA nabara = 27 x 3 = 81 + 9= 90 x 5 = 450 : 3 = 150 x 2 =300+1 AMgaLInA nakhara = 301 x 10= 3010 + 11 =3021+ 2 veDhAne naMbara 3023 + 8 = 3031. uttara : khI A 3031 819 2212 mANasa, DAbA hAtha, pahelI AMgaLI, khIjo veDhA. gaNita bIjI rItie paNa thAya che. (7) tri-vastuzAdhana ( chUpAvelI traNa vastu zodhavAnI rIta) A prayAgamAM vadhAremAM vadhAre 9. vyaktione laI

Page #120
zakAya che. temane eka samUha racavA sUcanA ApavI. 2 te badhAne anukrame naMbare ApavA. 3 tyArabAda temane eka ghaDiyALa, eka phAunTana pina tathA rUmAla ApI keI paNa traNa vyaktie tene chUpAvI le evI sUcanA ApavI. 4 tyArabAda temane eka je A badhI vastu jANa hoya tene AgaLa AvI gaNita karavA kahevuM. 5 gaNita A pramANe karAvavuM : (1) je naMbare ghaDiyALa lIdhI hoya tene lthI guNa. (2) temAM 9 umere. (3) AvelA pariNAmane 9 thI bhAga. (4) je bhAgaphaLa Ave tene 100 thI guNe. (5) temAM phAunTana pina lenArane naMbara umero ane bIjA 7 umere. (6) tene 100 thI guNe. (7) temAM rUmAla lenArane naMbara umere tathA bIjA 3 umere. (8) A rIte AvelI saMkhyA kahe. (9) je saMkhyA kahevAya tenA be aMka, be aMka tathA eka aMka evI rIte traNa bhAga pADe ane temAMthI nIce pramANe 173 bAda kare.

Page #121
112 (11) - - - - (10) A rIte aMka bAda karatAM je naMbaro Ave te anukrame ghaDiyALa, phAunTana pena ane rUmAlavALAnA naMbare samajavA. je A prayogamAM bhAga lenAranI naMbaravAra nAmAvalI lIdhI hoya te javAba nAmapUrvaka kahevo, nahi te naMbara belavA. dAkhala : nava mANasoe pragamAM bhAga lIdhela che. temAM 3 naMbare ghaDiyALa, 5 naMbare phAunTanA pina ane 8 naMbare rUmAla lIdhela che. have tenuM gaNita nIce mujaba thaze : 3 ghaDiyALa lenArane naMbara x | sseung 9) 36 (4 4 100 400 + pa phAunTana pena lenArane naMbara + 7

Page #122
412 4 100 41200 + 8 rUmAla lenArane naMbara + 3 1. 21 : 1 -1 5-7 1-3 eTale 3 naMbare ghaDiyALa, 5 naMbare phAunTana pina ane 8 naMbare rUmAla lIdhela che. (8) manamAM dhAreluM zabdanuM joDakuM kahI ApavuM. prathama kSaNe prazna thaze ke zuM A kArya gaNitathI banI zake kharUM? paNa prayAganI rIti vAMcavAthI tenI khAtarI thaze. o prayoga mATe vIjhITIMga kArDanuM 1 pekeTa jarUrI che ke jemAM Azare 50 kArDa hoya che. te madhyama kadanA hoya te tad nAnA levA nahi. temAMthI 30 kArDa laIne prekSakone vaheMcavAM ane kahevuM ke Apane ThIka lAge te zabda emAM lakhA. e lakhI rahe eTale kArDa ekaThAM karavAM ane sahAyaka hoya che enI be-benI joDI banAve. A rIte kula 15 jeDI thAya

Page #123
114 pachI prekSakamAMthI kei ekane khelAvI ane kahevAmAM Ave ke tame A 15 joDakAmAMthI kAi paNa 1 joDakuM manamAM dhArI le ane bhUlI na jAme te mATe kAgaLa para lakhI rAkhA. te dhArI le pachI e joDakA uThAvIne bhegA karavA. temAM koI kArDa AghuMpAchuM na thaI jAya tenuM dhyAna rAkhavuM. pachI te kAnI nIce pramANe gADavaNa karavI : ( te mATe abhyAsa karavA jarUrI che. 1 3 2 pa 7 9 11 13 15 8 14 17 19 12 4 20 21 23 5 22 16 6 26 27 2 10 18 24 28 30 A kArDa mUkavAnI rIta evI che ke prathama 1 nakharanA sthAne mUkavuM, pachI 2 naMbaranA sthAne, pachI 3 nakharanA sthAne, pachI 4 naMbaranA sthAne. e rIte badhAM kArDa geAThavAI jAya, pachI praznakArane melAvIne pUchyuM ke 'tamArA dhArelA zabdo koI paMktimAM che? eTalu ja kahe.' te je javAma Ape tenA parathI tame tarata ja e zabda zodhI zakazo. khAsa karIne emAM kaI joDI rahelI che, eTaluM ja jovAnu, je joDI rahelI heAya tene zodhIne tame tarata ja ApI zake che.

Page #124
115 dAkhalA tarIke teNe kahyuM ke pahelI paMktimAM,' te 1 ane 2 temAM rahelA che. athavA ema kahyuM ke pahelI ane trIjI paMktimAM,' te! 3 ane 4 temAM rahelAM che. joDImAM paheleA ekI ane pachI ekI e krama nizcita che, eTale prathama ekI zodhI kADhavA joIe ane tenA anusaMdhAnamAM ekI kayAM che? te joI levuM joI e. A rIte koI paNa eka ke be pAktamAM raheluM joDaku kahI zakAya che. (9) kai paNa mahinAnI tArIkhanA vAra kahevAnI rIta vanA chellA be AMkaDA lye. temAM umero. temAM je apUrNAMka hoya te cheoDI do. pachI temAM prathama tAlikA pramANe mahinAnA guNAMka umero. pachI je tArIkhanA vAra kADhavA hAya te tArIkhanA aMka umerA. pachI bIjI tAlikA pramANe varSanA guNAMka umere. AvelI rakamane chathI bhAge. zeSa vadhe tenA uttara trIjI tAlikA mujaba Ape. A rIte sane 1900 thI 2000 sudhInA koI paNa mahinAnI kaI paNa tArIkhe kayA vAra hatA, te kahI zakazo. tAlikA pahelI tAlikA IjI varSonA guNAMka 1900 thI 2000 umerA mahinAnA guNAMka jAnyu. 1 lipa Iyara 0 phebru. mArca 3 1800 thI 1900 "" 4 [ sapTe. 14 1752 thI 1800 "" ""

Page #125
eprila 0 me 2 pa jIna julAI . ega. 3 sapTe. 6 AkaTo. 1 nave. 4 DIse. 6 dAkhalA : 1700 thI 1752 rajI sapTe. umeza 1 2. ,, 1600 thI 1700 tAlikA trIjI Jain Educationa International riva seAma maMgaLa budha guru 1 2 3 4 5. zukra zani 1856nA egasTanI 4thI tArIkhe kayA vAra hatA chellA be AMkaDA para tenA cAthe| bhAga 14 ogaSTanA guNAMka tArIkha varSonA guNAMka 79 79 - 7 = 11 bhAga, 2 zeSa. mATe semavAra.. (10) dhI spelIMga kArDa TrIka [spelIMga khelatA jAe, te pramANe ga jIphAnAM pAnAM ughaDatAM jAya.] A eka ghaNI suMdara drIka che ane mitramaMDaLa tathA For Personal and Private Use Only

Page #126
117 prekSakane bhAre ramUja upajAve tevI che. IMglAMDa tathA ame rikAmAM A TrIka ghaNI leAkapriya thayelI che. tenI rIta ahIM ApavAmAM Ave che. (1) gaMjIphAnAM kAIpaNa eka raMganAM 13 pAnAM ce; (2) tene nIce pramANe geADavA eTale ke ekanI nIce khIjAne mUkatA jAo ane e rIte 13 pAnAMnI thekaDI taiyAra karo. 3-8--7-1-rANI-6-4-2-gulAma-mAdazAhu-10nA 9-5. [ ahIM AMkaDA lakhyA che, teTalA dANAMvALuM pAnu samajavuM. ] A kaeNma yAda rAkhavA mATe nIcenI kavitA upayAgI cheH traNa ATha sAta ne eka; rANI chakkI cAra viveka, khaggA geAleA rAjA vaLI; daza nava pAMce ramata ja phaLI. (3) pachI AMkaDAnA spelIMga khelatA jAo ane te dareka kArDa kramazaH nIce mUkatA jAe. jemake-One to O belIne paheluM kArDa thekaDIne nIce mUkavu, N elIne khIjuM pAnuM tenI nIce mUkavuM ane E elIne trIjI panuM tenI nIce mUkavuM. (4) A rIte eka saMkhyAnA spelIMga pUrA thAya,

Page #127
118 eTale tyAra pachInuM pAnuM khulluM karavuM, je anukrame 1-2 vagere haze. A rIte badhA spelIMga belI rahetAM 13 kArDa khulI jaze ane te badhA barAbara kramamAM haze. (5) spelIMgamAM nIce pramANe akSara kamazaH belavA joIe. jo temAM eka paNa bhUla thaze, te badhI goThavaNa garabaDamAM paDI jaze, mATe spelIMga bolatI vakhate barAbara dhyAna Ape. phAiva One Two Three Four Five Six Seven Eight Nine Ten Jack Queen King sikasa sevana eITa nAIna Tena kavIna kIMga

Page #128
prazna-zUnyanuM kArya zuM? uttara-hatu te gayu, ema batAvavAnu, ekamAMthI eka jAya teA zUnya rahe H 1-1 = 0; pAMcamAMthI pAMca jAya te zUnya rahe : 5-5 = 0; ane hajAramAMthI hajAra jAya teA paNa zUnya raheH 1000-1000=0000 prazna-saravALA zUnya Ave te zuM samajavuM ? uttara-badhAM ja zUnya bhegAM thayAM haze. 000 000 000 000 [ 18 ] aMka vinoda -zUnya prazna-zu zUnyane peAtAnuM mUlya kaMI ja nathI ? uttara-che, paNa bhItaramAM dekhAI raheluM che. jyAre kAI aMkanA Azraya AdhAra maLe tyAre te bahAra Ape che. 10, 201, 500, 3070 A badhAM sthAne zUnyanuM mUlya joI zakAya che. prazna-akAmAM zUnya na heAta te Jain Educationa International zuM thAta ? For Personal and Private Use Only

Page #129
120 uttara-saMkhyAo 9 thI AgaLa vadhI zakata nahi. tene je dIrgha vistAra thayo, te zUnyane AbhArI che. najIkanA 10 para ja daSTi nAkhe, eTale khyAla AvI jaze. ' 1-eka prazna-ekanI Teka zuM ? uttara-sattvazALI rahevuM. sattva (Substance) na hoya te zUnya ane ekamAM kaMI ja pharaka nathI. eka pitAnuM sarva pitAnI meLe ja pragaTa kare che. tene zUnyanI mAphaka keIne Azraya-AdhAra leve paDato nathI. prazna - zUnyamAMthI 1 nuM sarjana thAya kharuM? uttara-nA. game teTalAM zUnya bhegAM karIe te paNa temAMthI 1 utpanna thAya nahi. 000000 = 0. prazna - zUnya ane ekane saMbaMdha ke? uttara-prakRti ane puruSa je. baMnenA saMgathI saMkhyAnI vRddhi thAya che. prazna-ekamAM eka kyAM sudhI umerI zakAya? uttara- IcchA thAya tyAM sudhI. eno aMta nathI. prazna - ekamAMthI eka keTalI vakhata bAda thaI zake? uttara-mAtra eka ja vakhata. 1 - 1= 0 prazna - ekane zuM game?

Page #130
11 uttara-pahelA besavAnuM, jIene aMkanI paMktimAM te pahele ja beThA che ne! prazna-gaMjIphAnI ramatamAM dareka raMganAM 13 pAnAM hAya che. temAM khAdazAha, tenI rANI, tenA gulAma, ane 1 thI 10 sudhInA prajAjanA haiAya che. Ama chatAM ekkAnuM mahattva vadhAre zA mATe ? uttara-kAraNa ke e zUravIra subhaTa che; laDavAmAM ekko che. jenI joDa na heAya, te ekko kahevAya. 2 e prazna-e kAre thAya ? uttara-ekamAM eka umerAya to. 1 + 1 = 2. prazna-enI beThaka kAM ? uttara-e ekInI vacce. eka bAju 1 che, bIjI mAnu 3 che. 1 2 3 prazna-e ane e keTalA thAya? uttara-sajAtIya hAya to cAra, nahi to enA e rahe. dAkhalA tarIke 2 gheADAmAM 2 gheADA umerAya to 4 gheADA thAya, paNa 2 gheADAmAM 2 gadheDA umerAya to na 4 gheADA thAya, na 4 gadheDA thAya, e to e nA be ja rahe. alabatta, 2 gheADA ane 2 gadheDAM maLI 4 pazu thAya, paNa temAM sajAtIyapaNu' raheluM che. prazna-menA khAvIza kyAre thAya? uttara-khIjA bagaDAne potAnI harAlamAM besADe tyAre.

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1rara 3 - traNa prazna-traNa kyAre thAya? uttara-ekamAM be umerAya to, athavA bemAM eka umerAya. toathavA be deDha bhegA thAya te ! prazna-ekathI traNa para javAne zuM karavuM paDe ? uttara-ene oLaMga paDe. prazna-traNa svabhAve kevo ? uttara-tattvajJAnI. ghaDimAM Adi-madhya-aMtanI vAta kare; ghaDImAM jaghanya, madhyama ane utkRSTanI vAta kare; to ghaDImAM utpatti, sthiti ane layanI vAta kare. prazna-traNane vadhAre zuM game? uttara-trikoNa. 4 - cAra prazna-cArane sAra che? uttara-ekI choDavI nahi. tene gaDiye juo, eTale khAtarI thaze. game te aMkathI guNe paNa guNananA aMte te bekI ja pariNAma lAvaze. prazna-zuM cAra ekI banato nathI? uttara-bane che, paNa ekIne saMga thAya tyAre. 4+ 3 = 7; 4+5 = 164+ 13 = 17. prazna-cArane bhAra zene lAge che?

Page #132
123 uttara-mAthA para rahelA e vAMkaDiyA zIMgaDAnA AkRti jue eTale zakA nahi rahe. prazna-cArane khAranI pAse paheAMcavu hAya to zuM karavuM ? uttara-8nI dostI karavI, athavA jAte traNagaNuA meTA thavu'. 8 + 4 = 12. 44 3 = 12. prazna-cAra traNathI hArI jAya kharA? uttara-hA-traNa bamaNuM jora kare to cAra enAthI hArI jAya. 3 x 2 = 6. tenI AgaLa 4 zI rIte Take ? 5 - Jain Educationa International pAMca prazna-pAMcanuM sthAna kAM? uttara-cAra ane cha nI vacce ja to ! prazna-pAMcane paramezvara kahevAnuM kAraNa zuM? uttara-kAraNa ke te zUnya arthAt jyema sAthe vizeSa saMbaMdha rAkhe che. jarA 1 thI 10 sudhIne guNAkAra karI juo. bIjo koI eka ATalI jhaDapathI zUnya sAthe sabaMdha khAMdhatA nathI. prazna-pAMca pheAnI yAda Ape che? uttara-hAthanA AMgaLAnI. temAM pAMca AMgaLIe hAya che. prazna-pAMcane kANa pachADe ? uttara-tenA pADozI jato ! For Personal and Private Use Only

Page #133
- 124 cha prazna-chanuM sthAna kevu? uttara-taddana nirbhaya. A mAjI pAMcanI cAkI, A mAjI sAtanI cAkI ! prazna-cha ne keNu pasaMda ? e ke traNa ? uttara-e to anene peAtAnA avayavA ja mAne che. prazna-6 ane 66 mAM phera keTalA ? uttara-mAtra eka AMkaDAnA 69 mAMthI 6 nIkaLI jAya to ane sarakhA banI jAya. prazna-cha keTalI vAra bevaDA ane to 96 thai zake ? uttara-cAra vAra. pahelI vAra 12 ane, khIjI vAra 24, trIjI vAra 48 ane ceAthIvAra 96. prazna-chanA ane paDezIo bamaNuM jora kare to kAne maDhe teDAvavA paDe ? uttara-e mArane athavA eka cevIzane X Jain Educationa International 7 sAta prazna-sAtanI savArI kayAMthI nIkaLe ? uttara-e ekInI vaccethI. eka mAndhu cha hAya, khIjI bAjI ATha hoya. 14. x chatA eka pADAzI 5. te bamaNA thAya eTale 5 x 2 = 10. ane bIje pADAzI 7, te bamaNA thAya eTale cha x 2 Ama 10 ane 14 bhegA thatAM 24 thAya che, eTale e eka ceAdhIzane teDAvavA paDe. bAra ke For Personal and Private Use Only

Page #134
prazna-sAtane ghAta keI kare khare ? uttaranA re nA! avibhAjyane aDe ke? prazna-be sAta bhegA thAya te zuM kare? uttara-kAM 14 thAya ane kAM 77 thAya. prazna-sAtanI gupta vAta zuM ? uttara-haMmezAM eka pakSamAM rahevuM. prazna-sAtamAM kaMI suMdaratA kharI? uttara-avazya. mAthe suMdara aMbeDe ane eka laTa pharakatI. 8 - ATha prazna-AThane ThATha kyAM hoya? utara-sAta ane navanI vacce. prazna-AThane vadhAre zuM game ? uttara-siddhi. prazna-AThanI oLakhANa zuM ? uttara-moTuM peTa. prazna-AThane guNIe to ocho ja kema thato 841 = 84 2 = 16 = 1 + 6 = 7 84 3 = 24 = 2 + 4 = 6 844 = 32 = 3 + 2 = 5 8 4 5 = 40 = 4+ 0 = 4 X 0 X

Page #135
126 I X X X X 84 6 = 48 = 8 + 8 = 12 = 1 + 2 = 3 84 7 = 56 = 5 + 6 = 11 = 1 + 1 = 2 4 8 = 64 = 6 + 4 = 10 = 1 + 0 = 1 84 9 = 72 = 9 + 2 = 9 8410= 80 = 8 + 0 = 8 uttara-e te svabhAvanuM kAraNa che ! prazna-ATha nava karatAM caDe kharo ? uttara-hA. be je sAre bheru maLI jAya to ATha nava karatAM caDe. (8 + 2 = 10. te 9 karatAM 1 vadhAre che.) prazna-navanA pADozI koNa? uttara-ATha ane daza. prazna-navanI khAsiyata zuM ? uttara-vividha prakAranI lIlA karavI. prazna-navane vadhAre zuM game? uttara-nidhi. prazna-nava ane ekane ke saMbaMdha? uttara-baha sAre. baMne eka ja jJAtinA. A paNa ekI ne e paNa ekI. prazna-ATha ane nava majala karavA mAMDe to bhegA kayAM thAya? uttara-nevuMne eka aMkanuM cheTu rahe tyAre, arthAt 89 mAM. A saMkhyAmAM 8 ane 9 sAthe thayelA che.

Page #136
1ra7, prazna - navanA TukaDA thAya kharA? uttara-hA. traNa TukaDA thAya, paNa be nahi. prazna - nava vanamAM kyAre jAya? uttara-cAra majala pUrI karI chaDuM DagaluM bhare tyAre. (vana eTale ekAvana. 9 pahelI majale 18 para pahoMce, bIjI majale ra7 para, trIjI majale 36 para, ane cothI majale 45 para. tyAMthI cha DagalAM AgaLa vadhe te 46, 47, 48, 49, 50 upara thaI 51 (ekAvana) para pahoMcI jAya. - 1 -

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Page #138
khaMDa bIje gaNitajJAnanI pUti karanAra so koyaDAo = =

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Page #140
131 1 mAMthI 1 jAya te mIMDuM ke zUnya rahe evI ApaNI samaja che ane te barAbara che. paNa 1mAMthI 1.jAya te 11...rahe, e kema bane? eka vAra eka vepArIe hisAba gaNatAM sAta ekaDA lakhyA hatA ane saravALe 16ne mAMDa hatuM, te e ekaDA kevI rIte lakhyA haze? be ekaDA lakhatA 11 thAya che, traNa ekaDA lakhatAM 111 thAya che, vagere; paNa pAMca ekaDA evI rIte lakhe ke jenuM pariNAma 212 Ave. ema kahevAmAM Ave che ke game teTalAM zUnya bhegAM karIe te paNa 1 thAya nahi, paraMtu kanue 16 zUnyamAMthI 1 nuM sarjana karyuM, te zI rIte karyuM haze? 1 upara, 1 nIce ane cAra bAjue, chatAM gaNatarImAM 5, e kema bane? 2 ne 12 sAthe joDIne 14 pariNAma te badhA

Page #141
132 lAve che, paNa vinede 2 ne 12 sAthe evI rIte joDyA, ke tenuM pariNAma 3ra AvyuM, te e zI rIte jeThayA haze? [ 7 ] cAra bagaDe dara kevI rIte lakhAya ? [ 8 ] pAMca bagaDA evI rIte lakhe ke jenuM pariNAma 244 Ave. [ 9 ] pitAe putrane kahyuM : "AjathI pAMca varSa pahelAM tArA karatAM huM traNagaNI umarane hate, have daza varSa pachI tArA karatAM bamaNuM umarane thaIza, te hAla pitA, ane putranI umara keTalI ? 10 ] nava dIvAsaLIne evI rIte goThave ke jethI traNa samarasa thAya. [ 11 ] kAkAe kanune pUchyuM ke "keTalA vAgyA che?" kanue kahyuM ke "rAtrinA 12 vAgavAmAM jeTalA bAkI che, temAM 6 umerIe teTalA vAgyA che. te e vakhate kharekhara keTalA vAgyA haze?

Page #142
133 [ 12 ] eka kheDUta pAse 100 pazuo che. temAM keTalIka bheMse che, keTalIka gAya che ane keTalIka bakarIo che. have bheMsa rojanuM 4 zera dUdha Ape che, gAya rejanuM 1 zera dUdha Ape che ane bakarI januM zera dUdha Ape che. A rIte tene rojanuM 100 zera dUdha utare che, te bheMsa, gAya tathA bakarInI saMkhyA keTalI? [ 17 ] zAmaLa bhaTTane eka cha lagabhaga A ja Dhabane keyaDo rajU kare che, te jANa ahIM rasaprada thaze. eka rAyane ghera, ghaNA hAthI ne ghoDA; UMTa hatA aneka, bIjA te sAthe joDA. aDhI maNa hAthI khAya,doDha maNa UMTane jANa; pAMca zera khAya azva, gaNite karI mAnaje. se maNa dANa nitya vare, so che janAvara sAthIo tyAre UMTa ane azva keTalA, vaLI kahe keTalA hAthIe ! artha sarala che. [ 14] eka vepArIe pitAnA moTA putrane 100 maNa juvAra ane nAnA putrane 60 maNa juvAra ApIne kahyuM ke tamAre A juvAra bajAramAM jaIne vecI lAvavAnI che, paNa temAM

Page #143
134 be vastu khyAlamAM rAkhavAnI che ke jyAre juvAra vece tyAre sarakhA ja bhAve vecavI ane nAnA moTA karatAM bamaNuM pisA lAvavA. eka to juvArane ja e che ane paisA bamaNuM lAvavA, e dekhItuM vicitra che; paNa putree tema karI batAvyuM, te temaNe kyA bhAve keTalI juvAra vecI haze? [ 15 ] narabherAmanA traNe ya putre zALAmAM jatA hatA. have zALAe jatI vakhate pahelA putre paisA mAgyA, te temaNe pitAnI pAse je paisA hatA, tenA ardhA ane eka Ano vadhAre Ape. pachI bIjA putre paisA mAgyA, te je paisA bAkI rahyA hatA, tene ardho bhAga ane be AnA vadhAre ApyA ane chevaTe trIjA putra pisA mAgyA, te je visA bAkI rahyA hatA, tene ardho bhAga ane traNa AnA vadhAre ApyA. tyAra pachI pAkITamAM mAtra eka Ano bace hato, to temanI pAse zarUAtamAM keTalA paisA haze ? [ 16] cha tagaDA evI rIte lakho ke jenuM pariNAma 3663 Ave. [ 17 ] - traNa AMkaDAnI evI kaI rakama che ke jene UMdhethI. vAMcIe te paNa e ja vaMcAya ane jenA AMkaDAne. saravALe 9 heya ?

Page #144
135 [ 18 ] traNa AMkaDAnI evI cAra rakame batAve ke jenA pahelA AMkaDane bIjA AMkaDAthI guNae to pariNAma trIjA AMkaDA barAbara Ave. [ 18 ] cAra vAra ekaDA lakhIne 1 pariNAma lAvavuM saheluM che, paNa cAra vAra tagaDA lakhIne 1 pariNAma lAvavuM hoya te lAvI zakaze kharA ? [ 20 ] traNa traNa biMduonI samAMtare nIce pramANe hAra karIe te badhI maLIne traNanI keTalI hAra dekhAya? [ 21 ] be cogaDe ja te tame ghaNI vAra lakhyuM haze, paNa have cAra cegaDe 44 lakha. alabatta, temAM gaNitanI saMjJA vAparavAnI chUTa che. [ 22 ] cAra AMkaDAnI evI kaI rakama che ke jene UdhethI

Page #145
136 vAMcIe te paNa eja vaMcAya ane jenA AMkaDAne saravALe 16 thate heya. [ 23 ] pAMca cogaDA evI rIte lakho ke jenuM pariNAma 4para Ave. [ 24 ] traNa ekasarakhA aMkono upayoga karIne 24 pariNAma lAvavuM hoya te svAbhAvika rIte ja tame 8+ 8 + 8 lakhaze; pariNAma 24 lAvo. [ pa ] 10 + 10 + 10 ne saravALe 30 Ave che. paNa temAM 6 aMke che ane te be prakAranA che, jyAre mAtra traNa aMke ane te paNa eka sarakhA lakhIne 30 lAvI zakazo kharA? prayatna kare. [ ra6 ] be AMkaDA vaDe nAnAmAM nAnI pUrNAMka saMkhyA kaI lakhI zakAya? [ ra7 ] evI be saMkhyAo kaI che ke jenI vacce + nuM cihna mUkIe ke X nuM cihna mUkIe te paNa pariNAma sarakhuM Ave ?

Page #146
17 [ 18 ] pa + pa lakhIe te 10 thAya; 5 45 lakhIe te 25 thAya; athavA be pAMcaDAne sAthe lakhI nAkhIe te papa thAya; paraMtu be vAra lakhIne pariNAma 3125 lAvo. [ 29 ] papa nA be sarakhA bhAga pADe to pariNAma zuM Ave? bhAgamAM apUrNAMka na AvavuM joIe. [30] nIce pramANe 10 sikkA meja para paDelA che. have te sikkAmAMthI eka eka sikko laIne bIjA para caDAvavAne che. paNa temAM zarata eTalI che ke ochAmAM ochA 1 sikko te kUdAvavo ja joIe, te kevI rIte kUdAvaze? 1 2 3 4 5 6 7 8 9 10 [ 31 ] traNa jugArIo 20 rUpiyA laIne ramavA beThA. have ramatanA aMte pahelA jugArI pAse eTalA rUpiyA rahyA ke je bIjA karatAM 2 rUpiyA vadhAre heta te tenA karatAM bamaNuM thAta ane bIjA pAse eTalA rUpiyA rahyA ke trIjA karatAM ra be rUpiyA vadhAre heta te tenA karatAM bamaNa thAta, te dareka pAse keTalA rUpiyA rahyA haze ?

Page #147
138 [ 32 ] nIce pramANe 10 dIvAsaLIe paDelI che. have temAMthI traNa dIvAsaLIo ucakIne evI rIte mUko ke jethI madhe krama ulaTA anI jAya; eTale ke cAra dIvAsaLI sahuthI upara AvI jAya. tenI nIce traNa, tenI nIce be ane tenI nIce eka. [ 33 ] eka mANasanI umara mRtyu samaye tenA janmavarSAthI 29mA bhAganI hatI, tA 1900nI sAlamAM tenI umara zuM haze? [ 74 ] eka killAne traNa daravAjA hatA ane tyAM amuka cAkIdAre| kAyama paherA bharatA hatA. eka vAra keTalAka lUMTArUoe tenA para hallA karavAnA nirNaya karyo. have pahelA daravAjA para temaNe hallA karyo, tenI jANa khIjA daravAjAnA cAkIdArAne thai; eTale pahelA daravAjA para jeTalA cAkIdAra hatA, teTalA ja cAkIdAro dareka sthaLethI tyAM paheAMcI gayA. AthI lUMTArUe phAvyA nahi. pachI temaNe

Page #148
139 bIjA daravAjA para hallA karyAM te tyAM paNa pahelA ane trIjA daravAjethI bIjA daravAjAnA cokIdAro jeTalA ja cAkIdA2e pahoMcI gayA. AthI lUTArUe trIjA daravAjA tarapha dhasyA te tyAM paNa pahelA ane khIjA daravAjAnA cAkIdArA AvI pahAMcyA. temanI saMkhyA trIjA daravAjAnA cAkIdAra jeTalI ja hatI. Ama cAkIdArAe khUba mahAdurI batAvavAthI lUTArUe phAvyA nahi. paraMtu ahIM e jANavuM che ke tyAM prathamathI dareka daravAje keTalA cAkIdArA goThavAyA hatA? [ 35 ] karasana pAse keTalIka bakarIe hatI, kALu pAse keTalAMka gheTAM hatAM ane meghA pAse keTalIka gAye hatI. A traNe vacce mitrAcArIbharyo sArA saMbaMdha hatA. have eka vakhata traNeya jaNa sAthe beThA hatA, tyAre vAtanI vAtamAM karasane kahyuM : meghA ! mAre eka gAyane khapa che, jo tuM mane gAya ApIza teA badalAmAM 6 khakarIe ApIza ane tArI pAse mArA karatAM bamaNAM pazu thaze.' kALue kahyuM : ' meghA mAre paNa gAyanA khapa che. jo tuM mane gAya ApIza te badalAmAM tane 14 gheTAM ApIza ane tethI tArI pAse mArA karatAM pAMcagaNAM pazu thaze.' te e traNe pAse pazue keTalAM ? [ 3 ] eka strI bajAramAM keTaleka mAla kharIdavA gaI. have.

Page #149
140 teNe tyAMthI keTalIka vastuo kharIdI. pachI ghare AvIne pisA gayA te jeTalA rUpiyA hatA, teTalA AnA rahyA ane jeTalA AnA hatA, tenA ardhA rUpiyA rahyA. te te - strI bajAramAM gaI tyAre tenI pAse keTalA paisA haze! junA jamAnAnI A vAta che, jyAre A dezamAM badhI vastuo ghaNuM sastI maLatI. e vakhate eka pitAe putranI parIkSA karavA mATe tene eka paiso Ape ane kahyuM ke "beTA! atyAre bajAramAM 1 paisAnAM nAgaravelanAM pAna 7 maLe che. sopArI 21 maLe che ane laviMga 105 maLe che. meM tane ApelA paisAmAMthI tuM badhI vastuo sarakhA pramANamAM laI Ava, have putre e kAma zI rIte karavuM? [ 38 ] cAra vAra pAMcane upayoga karI 120 lakhe. [ 39 ] ATha vAra pAMca lakhI 1615 lAvo. [ 40 ] cAra pa no upaga gaNitanI saMjJAo sAthe evI rIte kare che jenuM pariNAma 100 Ave.

Page #150
141 [ 41 ] cAra 7 ne upaga gaNitanI saMjJAo sAthe evI rIte kare che jenuM pariNAma 100 Ave. [ kare ] pAMca navane upaga gaNitanI saMjJAo sAthe evI rIte kare che jenuM pariNAma 10 Ave. [ 43 ] eka jAtanA pAMca AMkaDAo gaNitanI saMjJAo sAthe evI rIte lakho ke jenuM pariNAma 100 Ave. [ 44 ] ATha aMke evI rIte lakhe ke jenuM pariNAma. 1000 Ave. [ 45 ] be TeLAM paMkhItaNAM, uDatA'tAM AkAza vanamAM utaryA jhADapara, beThAM khAvA zvAsa. eka kahe tema mAMyathI, je A be sAra; sarakhAM thaIe ApaNe, vadhe beune bhAra. te suNa bIjuM kahe, tamamAMthI be pakSa Ave te bamaNuM ame, thaIe tata pratyakSa. kahe paMkhI e keTalAM, TALe manasaMdeha, baMne TeLAmAM haze, kaho guNIjana teha.

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' 142 [ 46 ] 5 nA 1500 zUnyanI madada vinA banAvI de. [ 47 ] evA pAMca kArDa banAve ke jenAthI 31 sudhInI koI paNa saMkhyA banAvI zakAya. [ 48 ] traNa vAra pAMcano upayoga karI pariNAma 6 lAve. [ 49 ] sAta vAra sAta lakhI pariNAma sAta lAvo. 50 ] cAra 17 evI rIte lakhe ke jene saravALe 18887 thAya. [ pa ] daze daza aMka vAparIne 1 lakho. [ para ] 431 nI saMkhyAmAM 2 evI rIte umere jethI tenuM mUlya 44 karatAM ochuM thAya. [ 53 ] 1 thI 9 sudhInA aMke nIce pramANe goThavAyelA che. 7 28 196 34 5

Page #152
143 AmAM DAbA hAtha taraphanI chellI saMkhyA 7 ne tenI AgaLanA be AMkaDA eTale ke 28 thI guNIe te tenu pariNAma vacce rahelA traNa aMka jeTaluM arthAt 196 Ave che. paraMtu jamaNA hAthanA cheDe rahela pa ne tenI AgaLanA be AMkaDA eTale 34 thI guNatAM pariNAma 170 Ave che. have A akAne evI rIte gADavI te ke jenA ane cheDe rahelA AMkaDAne temanI AgaLanA e AMkaDe guNIe te pariNAma vacalI saMkhyA kharAkhara thAya. [ 54 ] traNa AMkaDAnI evI kaI rakama che ke jene ardho bhAga khAda karIe te! kaM'mata zUnya rahe? [ 55 ] 1 ne cAra vAra vAparIne meTAmAM meATI kaI sa MkhyA lakhI zakAya? [ 56 ] traNa 9 nA upayoga karIne vadhAremAM vadhAre sakhyA darzAve. [ 17 ] 48 nI saMkhyAmAM evI khUkhI che ke temAM 1 umerA, eTale vasakhyA thAya. 48 + 1 = 49. te 7 nA vaga che. 7x7=49. have tenA ardhAmAM 1 umerIe te paNa

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144 vargasaMkhyA thAya che. jemake 24 + 1 = 25. te 5 ne varga che. 54 5 = 25. have AvuM ja pariNAma ApanArI bIjI nAnAmAM nAnI saMkhyA kaI? [ 18 ] eka vAra eka ciThThI maLI AvI. tenI aMdara moTA akSare 3025 nI saMkhyA lakhelI hatI. have acAnaka e ciThThI phATI gaI ane tenA be sarakhA bhAga thayA. have A be TukaDAone saravALe karIe te 55 thAya che ane tene vaga karIe eTale ke tene e ja saMkhyAthI guNIe to pariNAma barAbara 3025 Ave che. AvI ja bIjI kaI saMkhyA batAvaze kharA? [ 59 ] moTAmAM moTI avibhAjya saMkhyA kaI? [ 60 ] be taDabUca vecAya che, temAM eka taDabUca bIjA karatAM savAgaNuM moTuM che, paraMtu tenI kiMmata deDhI che, te kayuM kharIdavuM? [ 1 ] eka sAMkaLa tUTIne tenA pAMca TukaDA thayA. te dareka

Page #154
TukaDAmAM traNa traNa aMkeDA che. have luhAra eka akaDe khelIne besADavAnA ATha AnA le che, te AkhI sAMkaLa taiyAra karavAmAM keTalo kharca paDe? [ 62 ] eka gRhastha eka varganA vidyArthIne keTalAMka pustako bheTa ApavA mokalyAM. have je dareka vidyArthIne 4 pustake bheTa Ape to 1 pustaka vadhe che ane 5 pustaka bheTa Ape te 1 vidyAthI vadhe che. te e vargamAM vidyAthIo keTalA ane temane bheTa ApavA mATe pustako keTalAM? [ 63 ] eka vAra narendra eka pherIvALA pAsethI 1 rUpiyAnAM aMjIra lIdhAM, paNa te vadhAre nAnA lAgavAthI bIjAM 4 mAgI lIdhAM. have hisAba go to Dajhane cAra AnA bhAva e che ke, te prathama rUpiyAnAM keTalAM aMjIra AvyAM haze? [ 64 ] eka jamAdAre cerane je tyAre te 27 DagalAM dara hite. have jyAre jamAdAra 5 DagalAM bhare che, tyAre cAra 8 DagalAM bhare che, paNa jamAdAranAM 2 DagalAM ceranAM 5 DagalAM barAbara che, te jamAdAra keTalA aMtare e cArane pakaDI pADaze?

Page #155
146 A AkRtimAM keTalA trikoNa che? barAbara gaNIne kahe. [ 66 ] dazeya aMkane upayoga gaNitanI saMjJA sAthe evI rIte karo ke jenuM pariNAma 100 Ave. saMkhyAmAM apUrNAMkane upayoga thaI zakaze. [ 67 ] 13 bAjumAM batAvelI saMkhyAomAMthI ochAmAM ochA 42 aMkanuM evI rIte parivartana karo ke pariNAmamAM pa7 kaze ja pharaka paDe nahi. 210

Page #156
147 [ 68] -111 ahIM pAMca rakame ApelI che. tene saravALe 333 277pa thAya che. have temAM game te cha aMkanA papapa sthAne che zUnya mUkI tenuM pariNAma 1111 lAve. 777 999 2775 [ 69 ] gorI beDI gokha-taLe nadI kere nIre, to motI hAra, paDyo jaI tene tIre, aDadha matI jaLa mahIM, palakamAM jaIne paDI, cetha savA bhAga te, kacare jaIne aDI. vaLI chaThTho bhAga sevALamAM, gabaDI gabaDI ne gayAM; pUchIe metI keTalAM, kAminI kAramAM be rahyAM. [ 70 ] mitra hatA jaNa beya, teha kahe ramavA jAvuM, eke savA zera, khaMtathI lIdhuM khAvuM. bIje paNa zera, trIjo jaNa temAM bhaLIe; pisA ApI vIsa, rAjI thaI paMthe paLIo. vIsa paisA e vaheMcavA, te te kautuka sArakhuM; kavi zAmaLa sujana samajaze, paMDita karaze pArakhuM.

Page #157
148 [ 71 ] be jaNa bAra vecatA hatA. temAM eka paisAnA 2 vecate hato ane bIjo eka pisAnA 3 vecate hate. evAmAM kaI kAma prasaMge te baMnene javAnuM thayuM, eTale tyAM beThelA trIjA jaNane temaNe pitAnI pAse rahelAM 30, 30 bera bhaLAvI dIdhAM ane 2 paisAnA 5 lekhe vecavAnuM kahyuM. have pilAe badhAM bera e bhAve vecI nAkhyAM, to tene 24 paisA upajyA. evAmAM pilA be mANase pAchA AvyA ane hisAba mAgyo. have temanA hisAbe pahelAne 15 ane bIjAne 10 maLavA joIe, paraMtu paisA 24 hatA, te eka paisA kyAM gayo? sAthenA citra mujaba 12 dIvAsaLIthI cAra cerasa banelA che. have temAMthI 3 dIvAsaLI upADI laIne evI rIte mUke ke tyAM 3 ja cerasa rahe. [ 73 ] thALIne bhAva 18 rUpiye Dajhana, vADakAne bhAva 6 rUpiye Dajhana ane pyAlAne bhAva 3 rUpiye Dajhana hoya ane 50 rUpiyAmAM 50 vAsaNa lAvavAM hoya, te dareka keTalAM levAM?

Page #158
149 1 9 | [[ 74 ] be vepArIoe eka ja bhAvathI sarakhI kerIo kharIdI. have pahelA vepArIe te kerI rUpiyAnI 7 lekhe vecI to tene 7 rUpiyAne naphe thaye ane bIjA vepArIo te kerI rUpiyAnI 8 lekhe vecI te tene 8 rUpiyA nukazAna thayuM, te baMnee zA bhAvathI keTalI kerIo kharIdI haze ? [ pa ] eka pATiyA para sAthe jaNAvyA mujaba cha saMkhyAo lakhAyelI hatI ane tene dUra laTakAvavAmAM AvyuM hatuM. tenI zarata evI hatI ke je saMkhyAne tAkavAmAM Ave teTalA rUpiyA maLe. have eka nizAnabAje eka pachI eka pAMca tAka lIdhI ane tene 100 rUpiyA maLyA, te | 54. teNe kaI saMkhyAone tAkI haze? [ 76 ] pAMca ane cha vAgyAnI vacce evo samaya kyAre Ave ke jyAre kalAka ane mInITanA kAMTA barAbara kATakhUNe hoya ? [ se ] varSe 120 rUpiyAne pagAra ane 20 ne vadhAro

Page #159
150 ThIka ke cha mahine 60 ne pagAra ane 10 ne vadhAre ThIka ? pAMca varSa nokarI karavAnI zarata che, ema samajIne javAba Apavo. [ 78 | eka mANase be moTare vecI. te darekanA tene 2000 rUpiyA utpanna thayA. have tene pahelI meTaramAM 20 TakAne naphe thayo ane bIjImAM 20 TakAnuM nukazAna thayuM, te ekaMdara naphe ke nukazAna ? naphe hoya te naphe keTalo? ane nukazAna hoya te nukazAna keTaluM ? [ 74 ] suMdara sadAgaranI vAta che. tenI pAse ghaNI milakata hatI. te badhI teNe maratAM pahelAM pitAnA traNa putrone sarakhe bhAge vaheMcI ApI, paraMtu pitAnI pAse je pANadAra 19 gheDA hatA, tenI vaheMcaNa na karI. te saMbaMdhI teNe eka ciThThI lakhIne putrane ApI hatI ane jaNAvyuM hatuM ke "mArA mRtyu bAda A ciThThI ughADajo, ane temAM jaNAvyA mujaba gheDAnI vaheMcaNI karI leje." pitAnA mRtyu bAda putrae ciThThI ughADI te temAM lakhyuM hatuM ke "mArA 19 ghoDAmAMthI aradhA mArA meTA

Page #160
putrane ApavA, cothe bhAga vaceTa putrane Ave ane pAMcame bhAga nAnAne Ape. keI gheDAne mAravo nahi ane mArI AjJAnuM ullaMghana karavuM nahi." putra A ciThThI vAMcIne muMjhavaNamAM paDyA, paNa evAmAM najIkanA gAmamAMthI temanA keI sagA ghaDA para besIne tyAM AvyA. teNe badhI hakIkata sAMbhaLIne kahyuM ke AmAM zuM? " ane ghoDAnI vaheMcaNI karI dIdhI, to e vaheMcaNI zI rIte karI haze? 80 ]. maNa maNanA be maheto mahetA, adhamaNiyAM be mahetala, macha jhIle maNane bhAra, utaravuM pele pAra ? mahetA ane mahetI e darekanuM vajana eka maNa che ane temanA be chokarAonuM vajana aDadho-aDadhe maNa che. have machavo mAtra 1 maNa bhAra upADe che, to temaNe nadInA sAme kinAre zI rIte javuM ? [ 81 ] eka mANasanA gharamAM 3 phuTa lAMbuM ane 3 phuTa paheluM jALiyuM hatuM. have kaI paNa kAraNasara tene A jALiyAnuM kada aDadhuM karavuM hatuM, eTale teNe e jALiyAnuM

Page #161
15 kada aDadhu ghaTADI nAkhyuM, paNa tenI lakhAi tathA paheALAI to enI e ja rahI, to teNe e jALiyuM zI rIte pUryu haze ? [ 82 ] eka vADAmAM 6 nAnA thAMbhalA kheADelA hatA ane te para 5 vAMsa bAMdhelA hatA. have eka rabArIe tyAM 4 UTe evI rIte mAMdhyA ke darekanA meDhAmAM, vAMsanA babbe cheDA AvyA ane koI pazu vAMsa khAkI rahyo nahi, te teNe thAMbhalA para vAMsa kevI rIte mAMdhyA haze ? [ <3 ] 8 maNanuM kulluM ghIthI bharelu che ane 3 maNu tathA 5 maNanuM kullu' khAlI che. have bIjuM koI sAdhana na hAya ane A sthitimAM ghInI sarakhA bhAge vahecaNI karavI heAya te zI rIte karavI ? [ 84 ] eka tIsthAnamAM cAra vizALa maMdira hatAM ane te darekane 100 pagathiyAM hatAM. have eka vakhate tyAM eka yAtrALu keTalAMka phUlA laI ne AvyeA. teNe prathama maMdire jatI vakhate dareka pagathiyA para ekeka phUla caDAvyuM ane peAtAnI pAse jeTalAM phUle! rahyAM tene aDadhA bhAga devane caDAvI dvIdhA. pachI vaLatI vakhate paNa dareka pagathiye ekeka phUla mUkayuM. A rIte teNe bAkInAM traNu maMdizamAM paNa

Page #162
153 karyuM, to tenI pAse eka paNa phUla vadhyuM nahi. to te keTalAM phUla laIne tyAM AvyuM haze ? [ 85 ] be vepArIo goLa vecatA hatA. temAMnA eke kahyuM ke "jo tuM mane 1 maNa gALa Ape to ApaNA baMnenI pAse sarakho geLa thaI rahe." bIjAe kahyuM ke "je tuM mane 1 maNa gALa Ape to mArI pAse tArA karatAM 161 gaNe geLa thAya." te e baMne vepArIo pAse keTale gaLa haze? [ 86 ] eka kAgaLa para nIce pramANe nava zUnya mUkelAM che. A naveya zUnyane vIMdhIne jAya evI lIMTI deravAnI che. temAM zarata eTalI che ke lIMTI deratI vakhate pensila kAgaLa parathI uThAvavAnI nathI, tema ja eka para bIjI lITI doravAnI nathI. : : [ 87 ] sAdhAraNa rIte mANasanI varasagAMTha dareka varase Ave che, paNa eka mANasanI varasagAMTha 60 varSamAM mAtra 15 vAra ja AvI, tenuM kAraNa zuM haze?

Page #163
15 [ 88 ] .... keTalAka pravAsIe nadImAM pravAsa karI rahyA hatA. have nIcalA vaheNe temanI hADIe 20 mAIlanI jhaDape pravAsa karyo; paraMtu pAchA pharatAM gheADI sAmA pravAhe cAlI eTale kalAkanA 15 mAIlanA pravAsa karI zakI. AthI temane javA karatAM AvavAmAM pAMca kalAka vadhAre thayA. te temaNe kula keTaleA pravAsa karyo haze? [ 89 ] eka pAsAne cha khAju hAya che. evAM pAMca pAsA para 30 akSarA lakhI zakAya. A pAsA judI judI keTalI rIte gADhavI zakAya? [ 90 ] eka vAra polIseAe keAi chUpI maMDaLInA mathaka para daroDo pADyo, tyAre tyAMthI nIce mujabanuM eka kArDa maLI AvyuM : bhairava maDaLa sabhAsadanA lavAjamanA dara ....kula rUA. 1566-5-5 have sarakArI khAtAnA guptacara eTalu jANatA hatA ke A maMDaLanA sabhyAnI saMkhyA 500 nI aMdara che ane lavAjama darekanuM eka sarakhuM che. paraMtu te A kADa parathI ni ya karI zakayo nahi ke sabhAsadanuM lavAjama keTaluM

Page #164
haze ane sabhAsadenI saMkhyA keTalI haze? zuM tame ene javAba ApI zakaze kharA? [ prathama rUpiyA-AnApAInuM calaNa hatuM, te vakhatane A hisAba che. 12 pAI=1 Ane. 16 AnA=1 rUpi.] [ 91 ] eka TAMkIne 5 naLa mUkelA hatA. temane pahele naLa khulle mUkavAthI e TAMkI 20 mInITamAM khAlI thaI jatI hatI. bIje naLa khulle mUkavAthI 30 mInITamAM khAlI thaI jatI hatI; trIjo naLa khulle mUkavAthI 40 mInITamAM khAlI thaI jatI hatI; cotho naLa khule mUkavAthI 50 mInITamAM khAlI thaI jatI hatI ane pAMcame naLa khullo mUkatAM 1 kalAkamAM khAlI thaI jatI hatI. have pAMceya naLa sAthe khullA mUkavAmAM Ave to e TAMkI keTalA vakhatamAM khAlI thaI jaze? [ kara] eka kaMpajhITare 1 paMkti TAIpathI bharI hatI. evAmAM te paDI gaI ane tenA akSare ADAavaLA thaI gayA. te nIce pramANe vaMcAtA hatA ? nI ja gi gu nya ra dha ta rA. tame e paMktine tenA kharA rUpamAM tAravI Apazo? ! 93 ] eka lazkarI TukaDImAM 120 sipAIo hatA. have

Page #165
156 tenA kepTane eka vAra tenI 12 hAra karI ane dareka hAramAM 11 sipAIo hatA, te teNe e hArA kevI rIte karI haze ? [ 94 ] , kAnAe kahyuM : kAnA bharavADa pAse 100 makarAM hatAM. temane mATe teNe 50 thAMbhalA kheADIne eka vADo banAvyeA hateA. have eka vAra teNe khIjA bharavADa pAsethI 100 bakarAMne sastA bhAve sAdo karyAM, tyAre tenA bhAie kahyuM ke ' ApaNI pAse vADA tA 100 bakarAM bese eTaleA che. temAM 200 akarAM zI rIte besADIza ? ' tAre enI phIkara karavI nahi. huM mAtra navA thAMbhalA lai AvIza ke e vADAmAM 200 bakarAMnA samAveza thaI jaze.' pachI teNe 100 bakarAM TharAvelA bhAve kharIdyAM ane e navA thAMbhalA lAvI e vADA evo manAvI dIdhA ke temAM 200 makarAM kharAkhara samAI rahyAM. te teNe zI rIte geAThavaNa karI haze ? be ja [ 95 ] kabATanA eka khAnAmAM kAI kiMmatI pustakanA cha bhAga paDelA hatA ane te dareka para kramAMka lakhelA hatA. eka vAra te bhAge ADAavaLA gADavAI jatAM nIce pramANe kramAMkeA dekhAya H Jain Educationa International 1 For Personal and Private Use Only

Page #166
157 have A pustakamAMthI dareka vakhate be pustaka sAthe. uThAvavAnA hoya ane kula traNa vAramAM A cha pustaka kramAMka mujaba goThavI devAnA hoya te zuM karavuM ? [ 96 ] zAmaLa bhaTTanA chappAmAM be mitrae miThAI kharIdI ane trIjo temAM bhaLe ene eka koyaDe kahele che. have A koyaDe evI ja jAtano paNa svarUpe jude che. traNa mitre ujANI karavA cAlyA. temAM pahelA mitre 10 AnAnI mIThAI bIjA mitre 12 AnAnI mIThAI ane trIjA mitre 1 rUpiyAnI mIThAI lIdhI. have teo sAthe khAvA bese che, tyAM eka mitra AvI caDyo, eTale ziSTAcAra mujaba tene sAthe besIne khAvAnuM AmaMtraNa ApyuM. pachI cAreya mitroe AnaMdathI sarakhA bhAge khAdhuM. have khAI rahyA bAda pile mitra temanI kharIdanA tamAma pisA (2 rUpiyA 6 AnA) temanI vacce mUkIne cAlate thaye. A paisAmAMthI keNe keTalA levA, te jaNAvaze? 87 ] eka oraDAmAM be mINabattIo paDelI che. temAM eka mINabattI bIjI karatAM 1 IMca vadhAre UMcI che. have meTI mINabattI 4 vAge saLagAvavAmAM Ave ane nAnI mINabattI 6 vAge saLagAvavAmAM Ave te 8 vAgatAM baMne mINabattI sarakhI UMcAInI rahe che. have moTI 12

Page #167
vAge saLagIne pUrI thAya che, jyAre nAnI 10 vAge saLagIne pUrI thAya che, te te mINabattIonI UMcAI keTalI ? [ 18 ] keTalAka mANasa nokarI karavAnA irAdAthI eka dezamAM gayA ane tyAMnA rAjAne maLyA. te rAjAe temAMnA ardhA tathA be mANasone nokarIe rAkhI lIdhA. have bIjA mANasa AgaLa cAlyA ane bIjA dezamAM gayA. tyAMnA rAjAne maLatAM teNe paNa temAMnA ardhA ane be mANasane nokarIe rAkhI lIdhA. ema karatAM je mANase bAkI rahyA, te trIjA dezamAM gayA ane tyAMnA rAjAne maLyA, te teNe paNa temAMthI ardhA ane bene nokarIe rAkhI lIdhA. bAkI rahelA mANase cethA dezamAM jatAM, tyAM paNa ema ja banyuM. chevaTe 1 mANasa rahyo, te pitAnuM bhAgya ajamAvavA pAMcamA dezamAM cAlyo gaye, te nokarI karavAnA irAdAthI kula keTalA mANaso nIkaLyA haze ? [ 99 ] rAmakumAra gujarI gayA tyAre temanI pAchaLa vidhavA strI, 4 putra ane traNa putrIo hatI. temane mATe temaNe pitAnI 62000 rUpiyAnI milakatanuM vIla evI rIte karyuM hatuM ke "mArA dareka putrane mArI dareka putrI karatAM -traNa gaNA paisA maLe ane mArI dareka putrIne tenI mAtA

Page #168
159 karatAM bamaNA paisA maLe, te vidhavA strIne bhAga keTalA rUpiyA Ave ? [ 100 ] be jaNa jamavA beThA hatA. temanI AgaLa 20 lADu ane 20 pUrIo hatI. temAM eka jaNa ghaNA hoziyAra hatuM. teNe bIjAne kahyuM ke ApaNe eka bAjoTha para lADu ane pUrIo goThavIe. temAM 1-2-3 gaNatAM dazamI vastu Ave te huM khAIza ane tyAra pachI 1-2-3 gaNatAM dazamI vastu Ave te tuM khAje." pelAe zarata kabUla karI. have pelA mANase lADu ane purInI goThavaNa evI rIte karI dIdhI ke badhA lADu tenA bhAgamAM AvyA ane badhI pUrIo pilAnA bhAgamAM AvI, te e gaThavaNa kevI rIte karI haze ?

Page #169
uttaro koyaDAnI kharI khUbI prayatna karIne tene ukela ke uttara zodhI kADhavAmAM rahelI che. "phUTa keyaDe keDIno" e nyAye tene uttara tarata joI levAthI badhI majA mArI, jAya che ane ukela dvArA buddhi kasAvAnI je dhAraNA rAkhI hoya te niSphaLa jAya che, mATe pUre prayatna karyA pachI ja A uttara jevA ane saphaLatA-niSphalatAnuM mApa kADhavuM. [ ] 1 varSa hoya ane 1 mahine hoya te ema banI zake. 1 varSanA 12 mahinA, temAMthI 1 mahine jAya, te 11 rahe. nIce mujaba lakhelA hovA joIe :

Page #170
16 [ 3 ] 111 212 [ 4 ] sAthenI AkRti mujaba karyuM haze? wwwwwwww [ pa ] 43 lakhyuM hoya te ema banI zake. emAM 1 upara che, 1 nIce che ane 4 bAjue che. tenI gaNatarI karIe to pa thAya che. te = 5. [6] - + 1 2 3 2 1 1

Page #171
F WE tr E 244 [ 9 ] pitAnI upara 50 varSanI ane putranI umara 20 varSanI. pitA 5 varSa pahelAM 50-5=45 varSanA haze ane putra 20-5=15 varSa ne haze. A rIte pitAnI umara putranI umara karatAM traNa gaNI haze. have 10 varSa pachI pitAnI umara 10+10=60 thaze ane putranI umara 20+10=30 thaze eTale pitAnI umara putranI umara karatAM bamaNI thaze. Jain Educationa International ma che. o o % | 62 [ 8 ] 2 22 22 [ 10 ] dIvAsaLIo sAthenI AkRti mujaba gAThavavI joI e. AmAM, gha, ga, gha, pahele cArasa che, 5, 6, 3, 4, bIjo cArasa che ane i,na,jJa, e trIjo cArasa che. For Personal and Private Use Only

Page #172
[ 11 ] rAtrinA 9. te vakhate rAtrinA 12 vAgavAmAM 3 kalAka bAkI hatA. temAM 6 umerIe tA 9 thAya. AvA dAkhalAmAM rIta e che ke 12 + 6 = 18 + 2 = 9. dhAro ke kanue ema kahyuM hAta ke ' rAtrinA 12 vAgavAmAM jeTalA bAkI che, temAM 5 umerIe teTalA vAgyA che.' te A rIta pramANe 12 + 5 = 17 + 2 = 85 javAma A vakhate rAtrinA 12 vAgavAmAM aa kalAka bAkI hatA ane temAM pa umeratAM 8! thAya. Avata. [ 12 ] 8 bheMsa, 44 gAya ane 48 makarI. tenA dUdhanA hisAba A rIte thAya : 8 bheMsa 163 32 zera dUdha (4 zera lekhe) 44 zera dUdha (1 zera lekhe ) 24 zera dUdha (ardhA zera lekhe ) 100 zera dUdha. [ 17 ] A koyaDAne uttara traNa rIte prApta thAya che. te 44 gAya 48 bakarI 100 pazu A pramANe : aDatAlIza te azva che, chatrIze UMTa sAra; sALa ja kahIe hAthIA, te mAne niradhAra. + + + Jain Educationa International * For Personal and Private Use Only

Page #173
pUrAM UMTa paMcAvanA, prauDhA hAthI pAMca cAlIza azva ati epatA, zyAmAM mAne sAca. + ' + ' + + hothI sattAvIza ne, sattara UMTa sujANa adhA chappana bhatA, mAne eha pramANa pahelA vikalpa pramANe 48 azva 6 maNa (5 zera lekhe) 36 UMTa 54 maNa (deDha maNa lekhe) 16 hAthI 40 maNa (aDhI maNa lekhe 100 janAvara 100 maNa bIjA vikalpa pramANe 55 UMTa 8ra maNa (deDha maNa lekhe) 5 hAthI 12 maNa (aDhI maNa lekhe) 40 azva 5 maNa (pAMca zera lekhe) 100 janAvara 100 maNa trIjA vikalpa pramANe 27 hAthI 67 maNa (aDhI maNa lekhe). 17 UMTa 2pA maNa (deDha lAkha lekhe) pa6 azva 7 maNa (pAMca zera lekhe) 100 janAvara 100 maNa [ 14] prathama baMnee 1 rUpiyAnI 9 maNa juvAra vecavAne nirNaya karyo. te anusAra pahelAe 11 rUpiyAnI 99 maNa

Page #174
juvAra vecI ane bIjAe 6 rUpiyAnI 54 maNa vecI. have bapora pachI temaNe 4 rUpiyAnI 1 maNa juvAra vecavAne nirNaya karyo, eTale meTAne 1 maNa juvAra vadhI hatI, tenA 4 rUpiyA AvyA. ane nAnAne 6 maNa juvAra vadhI hatI, tenA 24 rUpiyA AvyA. A rIte meTAne kula 11 + 4 = 15 rUpiyA AvyA. ane nAnAne + 24 = 30 rUpiyA AvyA. 15 ] narabherAma pAse zarUAtamAM 2 rUpiyA ane 10 AnA haze. 2 rUA. 10 AnAnA 4ra AnA thAya, temAMthI pahelAne ardhA ane eka vadhAre eTale 21 + 1 = 22 AnA ApyA. tethI tenI pAse 20 AnA bAkI rahyA. temAMthI bIjA putrane ardhA ane be AnA vadhAre ApyA, eTale 10 + 2 = 1ra AnA ApyA. tethI tenI pAse 8 AnA vadhyA. temAMthI trIjA putrane ardhA ane 3 Ane vadhAre ApyA, eTale 4 + 3 = 7 AnA ApyA, tethI tenI pAse 1 Ane vaze. AvAM keyaDAne ukela pAchaLanA pariNAma para dhyAna ApIne cAlavAthI jaldI maLI rahe che. jemake trIjA putrane aDadho bhAga Apyo ane vadhAre 3 AnA ApyA, tenI pAse 1 Ano bace, eTale 3 + 1 = 4 AnA e arthe bhAga hatuM. tethI trIjA putrane paisA ApyA, tyAre tenI pAse 8 nA hovA joIe. have e 8 AnA rahyA, te ardhA bhAgamAMthI 2 AnA ochA thayA pachI rahyA hatA. eTale

Page #175
ardhA bhAganA 10 ane bIjA ardhA bhAganA 10 maLI kula 20 AnA bIjA putrane paisA ApyA, te vakhate havA. joIe. A 20 AnAmAM 1 umeratAM ardho bhAga bane che 20 + 1 = 21, tethI kula paisA 42 AnA arthAt 2 rUA. 10 AnA hovA joIe. [ 16 ] ta 3 3. 17 ] uttaramAM nIcenI cAra saMkhyAo rajU karI zakAya ema che: 171; 2para; 333; 414. A dareka rakama udhethI paNa e ja vaMcAya che ane tene saravALe 9 Ave che. [ 18 ] 212, 324, 236, 248. A rIte bIjI rakame paNa rajU karI zakAya, paraMtu ahIM cAra rakame mAgI che, eTale A cAra rakamo rajU karavAmAM AvI che. [ 18 ] 33 AmAM cAra tagaDA lakhelA che. 33 ane tenuM pariNAma 1 che.

Page #176
ka 167 [ 20 ] ATha. traNa ADI, traNa UbhI ane e karNarekhAonI. ga ahI . ane ghunI eka kaNarekhA che ane 7 tathA nI 6 mIjI karekhA che. [ 23 ] 44 + 4-4 = 44. [ 22 ] evI rakamamAM nIce mujakha cheH 101; 2662; 3553, 4444; 5335; 6226; 7117 ane 8008. [ 23 ] pAMca ceAgaDA nIcenI rIte lakhatAM pariNAma 4para Ave cheH 444 452 [ 24 ] AvuM pariNAma nIcenI be rIte lAvI zakAya H-- (1) 22 + 2 = 24 (2) 33 - 3 = 24

Page #177
[ 25 ] AvuM pariNAma nIcenI cAra rIte lAvI zakAya - (1) 54 5 + 5 = 30 (2) 6 4 - 6 = 30 (3) 33 - 3 = 30 (4) 3 + 3 = 30 [ ra6 ] tamArA manamAM 10 ramI rahyo che, kharuM ne ? paNa nAnAnAM nAne pUrNAMka 1 che, te be AMkaDAo vaDe nIce pramANe lakhI zakAya che. [ ra7 ] 11 ane 11. 11 + 11 = 121. 1-1 4 11 = 121. [ ] 55. Ano artha 5 45 45 45 x pa thAya che. ane tenuM pariNAma 3125 Ave che. [ 29 ] A zarata mujaba papa nA be UbhA bhAga pADavA joIe. e rIte dareka bhAgamAM 5 Ave. [ 30] A sikakAo nIce pramANe kUdAvavA joIe, te ja

Page #178
zaratanuM pAlana thaze. 1 upADI 3 upara, 4 upADI 6 upara, 7 upADI 9 upara, 8 upADI 10 upara ane 2 upADI 5 upara. [ 31 ] pahelA pAse 10 rUpiyA, bIjA pAse 6 rUpiyA, trIjA pAse ja rUpiyA. pahelA pAse bIjA karatAM 2 rUpiyA vadhAre heta te 10 + 2 = 12 thayA hatA, je 6 rUpiyA karatAM bamaNuM che. bIjA pAse trIjA karatAM 2 rUpiyA vadhAre heta te 6 + 2 = 8. thayA hatA, je 4 rUpiyA karatAM bamaNuM che. [ 32 ] prathama cAra dIvAsaLImAMthI 2 dIvAsaLI upADIne | | AgaLa mUke eTale tyAM | | | | cAra thaze. | | nI hArane aDavAnuM nathI, eTale paristhiti nIce mujaba thaze - | |_| + | | have uparanI eka divAsaLI upADIne sahuthI nIce mUkI de, eTale Akho kema ulaTAI jaze. te A pramANe

Page #179
170 [ 33 ] . e mANasa 1856mAM janmyo haze ane 1920mAM 64 varSanI umare maraNa pAmyuM haze, eTale 1900nI sAlamAM tenI umara 44 varSanI haze. 64 e 1856ne barAbara 2 bhAga che. [ 74 ] pahelA daravAje 16, bIjA daravAje 28 ane trIjA daravAje 37. pahelA daravAjA paranA hallA vakhate AvI paristhiti rahI. 12 + 12 + 16 = 48. te vakhate bIjA daravAje 28 - 16 = 12 ane trIjA daravAje 37 - 16 = 21 bAkI rahyA. bIjA daravAjAnA hallA vakhate tyAM 12 kIdAre hatA, eTale 12 + 12 + 12= 36. te vakhate pahelA daravAjethI 48 - 12 = 36 rahyA ane trIjA daravAje 21 - 12 = 8 rahyA. trIjA daravAjAnA hallA vakhate tyAM 9 hatA, eTale 9 + 9 9 = 27 thayA. temAM pahelA daravAjethI 36 - 9= 27 rahyA ane bIjA daravAje 36 - 9 = ra7 rahyA. A rIte traNeyanI saMkhyA sarakhI thaI gaI. [ 35 ] karasana pAse 11 bakarIo haze, kALu pAse 17 gheTAM haze ane meghA pAse 7 gAye haze.

Page #180
- 171 - karasana 6 makarIe Ape ane addalAmAM 1 gAya. le te tenI pAse 11 - 6 + 1 = 6 pazu thAya. ane meghA pAse 7 - 1 + 6 = 12 pazue thAya, eTale karasana karatAM amaNAM pazue thAya. have kALu 14 gheTAM Ape ane le te tenI pAse 17 - 14 + 1 = 4 meghA pAse 7 - 1 + 14= 20 karatAM pAMca gaNAM pazu thAya. badalAmAM 1 gAya pazu thAya ane eTale kALu [ 36 ] te strI bajAramAM gai tyAre 15 rUA. 14 AnA laI gayelI. tyAM teNe cha rUA. 15 AnAnA mAla kharIdele, eTale tenI pAse cha rUA. 15 AnA khacyA. prathama tenI pAse 15 rUpiyA hatA, eTalA ahIM AnA che ane 14 AnA hatA, tenAthI ahI ardhA rUpiyA che. 54545-5-120 pazu thAya, [ 37 ] prathama 1 paisAnAM nAgaravelanAM 7 pAna levAM, temAMthI 2 pAnanI seApArI levI, eTale tenI pAse pa pAna rahe. have sepArI 1 pAnanI 3 maLe che, eTale 2 pAnanI 6 Ave. temAMthI 1 sopArInAM lavIMga levAM. eTale 5 sepArI bAkI rahe ane 1 sepArInAM 5 viMga maLe che, eTale traNeya vastu sarakhI thaI rahe. [ 38 ]

Page #181
da 172 [ 39 ] : y 5 5 5 5 5 5 5 5 by 1 6 1 5 [ 40 ] A keyaDAne ukela nIcenI be rIte thaI zake che : (1) (5+ 5) = (5*5) = 100 (2) 5 (545- 5) = 100 [ 41 ] - X - = 100 [ 42 ] [ 43 ] A keyaDAne ukela nIce mujaba cAra rIte thaI zake che? (1) 111 - 11 = 100 (2) 33 43+ 3 = 100 (3) 545 45 - (545) = 100 (4) (pa + +5 + 5) 4 5 = 100 .

Page #182
373 [44] 888 ta [ 45 ] 2 = 12 pahelA TALAmAM 10 pakSI, khIjAmAM 14 pakSI. pahelAMnI mAgaNI mujaba bIjA ToLAmAMthI 2 pakSI Ave te 10 + 2 = 12 pakSI thAya ane khIjAmAM 14 pakSI thAya, A rIte ane sarakhA thAya. have khIjAnI mAgaNI mujaba pahelAM ToLAmAMthI 2 pakSI Ave te 10 2 = 8 pakSI rahe ane khIjAmAM 14 + 2 = 16 pakSI thAya, eTale ke khamaNA thAya. [ 46 ] 1000 5 + 1495 = 1500 Jain Educationa International 27 sUcita pAMca kArDa mAM 1, 2, 4, 8, ane 16. sakhyA manAvI zakAya che. 1 mATe 1 2 2 [ 47 ] nIce pramANe aMka lakhavA joie : temAMthI 31 sudhInI game te. jema ke -- For Personal and Private Use Only

Page #183
174 * 2 + 1 0 0 + 1 , 4 + 2 ;, 4 + 2 + 1 1 + 8 1 , 8 + 2 8 + 2 + 1 8 + 4 , 8 + 4 + 1 , 8 + 4 + 2 che 8 + 4 + 2 + 1 - ,, 16 + 1 16 - 2 16 + 2 + 1 , 16 + 4 ,, 16 + 8 + 1 22 ,, 16 - 4 - 2 23 ,, 16 +4+ 2 + 1 24, 16 + 8 ' 25 5 16 + 8 + 1 26 , 16 + 8 + 2,

Page #184
" 175 27 16 + 8 + 2 + 1 - 28 , 16 + 8 + 4 29 - 16 + 8+4+1 30 , 16 + 8+4+ 2 31 , 16 + 8+4+ 2 + 1 A siddhAMta parathI keTalIka suMdara ramate bane che. [ 48 ] 5 + 3 = 6 [ 49 ] 17 + 7 - 7 + 7 - 7 + 7 - 7 = 7. [ 50 ] 17 17 17 18887 [ pa ] [ para ] 43. AnuM mUlya 44 karatAM ochuM che.

Page #185
( 176 [ 53 ] te goThavaNa nIce pramANe karavI joIe: 7 28 156 39 4 7 4 28=156. 3944 = 156. dekhItI rIte te A vastu azakya che, kAraNa ke keIpaNa saMkhyAmAMthI tene ardho bhAga bAda karIe eTale ardho bhAga rahe che ane tenuM kaMI paNa mUlya hoya che, eTale ahIM zabdaracanA para dhyAna ApavAnuM che. traNa AMkaDAnI rakamane ardho bhAga eTale tenuM adhuM mUlya nahi, paNa kharekhara ardho bhAga. evI rakama ka77 che. je. tenI vacce lITI dorIne be bhAga pADIe ane nIcene ardho bhAga bAda karIe te tenI kiMmata zUnya rahe che. aMgrejImAM AvI rakama 888 che. tenA be bhAga karIne nIcene ardho bhAga bAda karIe te bAkI rahelA bhAganI kiMmata zUnya rahe che. [ papa ] ahIM je 1111 lakhavAnI dhAraNA rakhAI hoya te barAbara nathI. tene sAco javAba 1111 che. Ane javAba 280,000,000,000 thI vadhAre AvavA saMbhava che, je 1111 thI 350 gaNuM vadhAre kiMmata darzAve che.

Page #186
e saMkhyA A rIte darzAvI zakAya : AnA artha e thayo ke 9387420489 A guNAkArane javAba 38 kroDa uparAMta AMkaDAnA Ave. A guNAkAra karatAM keTale samaya jAya e vAta cheDI daIe, paNa te taiyAra thayA pachI jo kAgaLanI paTTI para lakhave hAya tA 1 iMcamAM madhyama kadanA pAMca AMkaDAnA hiMsAe Azare 125 mAIla lAMkhI paTTI joIe. kaheA, AMkaDAmAM keTalI tAkAta che ? 197 [ 56 ] [ 17 ] 1680. temAM 1 umerIe eTale 1681 thAya, je 41 nA va che (41 x 41 = 1681) ane tenu adhu karIne eka umerIe to 840 + 1 = 841 thAya, je 29 nA varga che (29 x 29 = 841). [ 58 ] 9801. A saMkhyAnA be bhAga pADIe te 98 ane 01 thAya. tene saravALe karIe te 99 thAya ane tenA vaga karIe teA pariNAma 9801 Ave. 715,864,105,727, 12 re [ 59 ] 170,141,183,460,469,231,731,687,303,

Page #187
178 A 39 aMkanI avibhAjya rakama Arthara lyukAse I. sa. 1877 mAM zedhI hatI. te atyAra sudhI meTAmAM moTI gaNAya che. [ 60 ] moTuM, kAraNa ke temAM 1414 1 = 16 eTale nAnA taDabUca karatAM lagabhaga bamaNe gara che ane mUlya deTuM che, eTale te kharIdavuM lAbhakAraka che. [ 61 | deDha rUpiye; kAraNa ke traNa AMkaDAvALo eka TukaDo khelIne tenA vaDe bAkInA cAra TukaDA saMdhI zakAya che. te A pramANe. pahelo sAMdhe bIje sAMdhe trIje sAdhe. ahIM ghaNA kharA cAra akeDA gaNe be rUpiyA javAba Ape che, paNa te barAbara nathI. - 6 vidyArthIo ane 25 pustake. je cha vidyAthIone cAra cAra pustaka ApIe te eka putaka vadhe. 6 44 = 24 + 1 = 25. ane je pAMca pAMca ApIe te e pAMca vidyArthIone vaheMcAI jAya. 5 4 5 = 25. AthI 1 vidyAthI vadhe, eTale ke te pustaka lIdhA vinA rahI jAya.

Page #188
[ 63 ] 12. prathama 1 rUpiyAnAM 12 aMjIra lIdhAM hatAM eTale Dajhanane bhAva 1 rUpice thaye. pachI 4 vadhAre letAM 1 rUpiyAnAM 16 aMjIra thayA, eTale Dajhanane bhAva 12 AnA thaze. A rIte Dajhanane bhAva cAra AnA ocho tha. [ 64] trIzamA Dagale. jamAdAra 30 DagalAM bhare eTalAmAM cara 48 DagalAM bhare. have 27 DagalAMnuM aMtara te pahelethI ja hatuM, eTale 48 + 7 = 75 DagalAM thayAM. cAranAM pa pagalAM barAbara jamAdAranAM ra pagalAM che, eTale ceranAM 75 DagalAM barAbara jamAdAranAM 30 DagalAM thAya. [ pa ] 71. khUba dhyAna ApI samajapUrvaka gaNatarI karavI joIe. A keyaDAne ukela nIcenI pAMca rIte prApta thayo che. (1) 70 + 24- + pa = 100 (2) 87 + 9 + 32 = 100 (3) 50 + 4946 = 100 (4) 78 + 215 = 100 (5) 8039 + 1 = 100

Page #189
(1) 13 24 [ 67 ] AmAM bIjI ane trIjI saMkhyAne. ulaTI karI che. 75 210 (2) 31 AmAM pahelI ane bIjI saMkhyAne. ulaTI karI che. 24 pa7 210 mr bh 0 AmAM cha aMkanA sthAne cha zUnyane. upaga thayela che. 1 0 0 3 3 0 5 0 5 0 7 7 1 1 1 1 [ 69 ]. kula metI 96 hatAM. tene hisAba A pramANe - 48 metI jaLamAM paDayA. . 30 metI kacarAmAM paDyA. 4} = 16 sevALamAM gayA. 2 hAthamAM rahyA. mylh y

Page #190
181 zadhavAnI rIta -3 + 8 + = $ - bAkI te barAbara 2, eTale 1 barAbara 96. [ go savA zeravALe sADA sattara, vyAjabI lIdhAM vaDhI; piNa. zeravALe kahyuM, Apa bhAI mujane aDhI. trIjAe 20 paisA ApyA, temAMthI pahelAne bhAga '17LA ane bIjAne bhAga nA paisA AvyA. te zI rIte? kula khAvAnuM 1 + nA zera maLI 2 zera hatuM. te traNa jaNe sarakhA bhAge khAdhuM, eTale dareke ru zera khAdhuM. have pahelAnuM nA zera arthAt ; hatuM, temAMthI 3 gayuM eTale vadhAre vaparAyuM. bIjAnuM zera eTale rU hatuM temAMthI huM gayuM, eTale huM vadhAre vaparAyuM. AthI 7 ane 1 nA pramANamAM 20 nI vaheMcaNe thavI joIe. A rIte pahelAne 17aa ane bIjAne rA pisA maLyA. Ane khulAso e che ke je sarakhI kiMmatanAM bera bAkI rahyA hota te phera Avata nahi, paraMtu ekanAM 15 pisAnAM che ane bIjAnAM 10 paisAnA che, eTale be paisAnAM pAMca lekhe 20 paisAnAM 50 bera vecyAM hatA te vAdhe Avata nahi. paraMtu bAkInAM 10 bora paNa be pisAnAM

Page #191
pAMca lekhe vecyAM, tethI 1 piso ocho upa. je e bera paisAnAM be lekhe vecyAM hatA te 5 pisA upajata ane pahelAMnA 20 maLI kula 25 paisA thaI raheta. [ 73 ] e goThavaNa A rIte karavI joIe : - aMka lakhelA sthAnethI dIvAsaLI uThAvavI joIe ane tene anukrame jaa nA. sthAne mUkavI joIe. - [ 73 ] nIce pramANe levAM :- 26 thALI 39 rUpiyA 20 vADakA 10 rUpiyA 4 pyAlA 1 rUpiye 50 vAsaNa pa0 rUpiyA [ 74 ] temaNe 113 rUpiyAnI 840 kerIo kharIdI haze. ATalI kerIo 1 rUpiyAnI 7 lekhe vecI te 120 rUpiyA upajyA, eTale 7 rUpiyAne naphe thaye ane 1 rUpiyAnI 8 lekhe vecI te 105 rUpiyA upajyA, eTale 8 rUpiyAnuM nukazAna thayuM.

Page #192
183 [ 73 ] AmAM be vikalpa saMbhave che. temAM pahelA vikalpa anusAra : cAra vAra 17 ane eka vAra 32. 1744 = 68 + 32 = 100. ane bIjA vika95 anusAra : traNa vAra 32 ane be vAra 2. 32 x 3 = 96 + 2 42 = 100, [ 76 ] 5 kalAka ane 10 mInITe. A vakhate mInITa kAMTA ane klAka kAMTe barAbara kATakhUNe hAya. [ cc ] 60 ne pagAra ane 10 rUpiyAne vadhAre ThIka. AMkaDA mAMDe eTale khabara paDaze. pahelI janA mujaba bIjI cejanA mujaba pahelA varSe rU. 120 pahelA varSe prathama cha mahinA rU. 60 bIjA , rU. 140 bIjA , rU. 70 trIjA , rU. 160 bIjA varSe prathama cha mahinA rU. 80 cothA ,, rU. 180 bIjA , rU. 90 pAMcama , rU. 200 trIjA varSe prathama cha mahinA rU. 100 kula rU. 800 bIjA, rU. 110 cothA varSe prathama cha mahinA rU. 120 bIjA ,, - rU. 130 pAMcamA varSe prathama cha mahinA rU. 140 bIjA , rU. 150 kula rU. 1050

Page #193
bIjI cejanA svIkAravAmAM kula rUpiyA 250 ne phAyado thAya. [ 74 ] ahIM sAdI samaja te e uttara Apaze ke eka bAju 20 TakA naphe che, bIjI bAju 20 TakA nukazAna che, eTale hisAba sarabhara thaI gayo, paNa hakIkata evI nathI. A vepAramAM e mANasane 166 rU. 67 paisAnuM nukazAna thayuM che, te A rIte ? pahelA sedAmAM 2000 rUpiye maTara vecatAM 20 TakA na thaye che, eTale tenI mULa kiMmata 1666 rU. 67 pisA hevI joIe. 120 TakA : 100 TakA : : 2000 rUpiyA. _100 x 2000 120 = 1111 [ cheda uDADatAM A rakama Ave] 3 = 16663 rU. mULa kiMmata. AmAM 20 TakA naphAnI rakama umerIe te 1666 rU. mU. ki. + 333 rU. naphe. 2000 rUpiyA vecANa kiMmata. bIjA sodAmAM 2000 rUpiye moTara vecatAM 20 TakA nukazAna thayuM hatuM, eTale tenI mULa kiMmata 2500 rUpiyA hovI joIe. - --

Page #194
185 80 TakA : 100 TakA : : 2000 rUpiyA 100 x 2000. 2500 rUpiyA. AmAMthI 20 TakA lekhe 500 rUpiyA bAda thAya, eTale 2500 rUpiyA mU. ki. - pa00 rU. nukazAna 2000 rUpiyA vecANa kiMmata rahe. have baMne moTaranI mULa kiMmatane saravALe kare. pahelI moTara rU. 1666-67 paisA bIjI meTara rU. 2500=00 hiMsA - kula rU. 4166-67 upajelI kiMmata rU. 4000=00 nukazAna rU. 166-67 79 ] pelA mahemAne pitAne ghaDe paNa temAM umerI dIdhe haze, eTale kula gheDA 20 thayA haze. pachI aradhA bhAge 10 gheDA meTA putrane, cothA bhAge pa thaDA vaceTa putrane ane pAMcamA bhAge 4 gheDA nAnA putrane ApyA haze. bAkI 1 ghaDo pitAne rahyo, te para besIne te pitAnA gAma pAcho cAlyA gaye haze.

Page #195
186 [ 80 ] temaNe machavAne upaga nIce mujaba karo :che. prathama be chokarA machavAmAM besIne sAme pAra jAya temAMthI eka chekare tyAM rokAya ane bIje macha pAcho lAve. * pachI mahete machavAmAM besI sAme pAra jAya ane tyAM rahele kare machavAne pAcho lAve. e pachI baMne chokarA macha laI sAme pora jAya ane tyAMthI eka chokaro macha laI pAcho Ave. ne pachI mahetA machavAmAM besI sAme pAra jAya ane tyAM rahele chokare macho pAchA lAve. e pachI baMne chokarA machavAmAM besI sAme pAra jAya. [ 81 ] citramAM batAvyA pramANe. AthI tenI laMbAI ane pahoLAI hatI teTalI ja rahe che.

Page #196
187 vAMsa pAMsa vAMsa [ 82 ] cha thAMbhalA para: citramAM batAvyA mujaba pAMca vAMsa bAMdhyA haze, tethI dareka UMTanA moDhAmAM pAMsa vAMsanA be cheDA UMra ra AvyA haze ane eka paNa vAMsa bAkI rahyo nahi hoya. [ 87 ] sAmAnya mANasane mana A eka meTe keyaDe che, paNa tene ukela nIce pramANe AvI zake che - prathama 3 maNanuM kulla bharI pAMca maNiyAmAM nAkhavuM. pharI pAchuM e ja 3 maNanuM kulla bharI pAMca maNiyAmAM nAkhavuM, eTale paristhiti nIce mujaba raheze - pAMca traNa ATha maNiyuM maNiyuM maNiyuM 5 maNa 1 maNa -3 2 maNa have pAMca maNiyuM ATha maNiyAmAM ThAlavI nAkhavuM eTale ATha maNiyAmAM kula 7 maNa thaze ane pAMca maNiyuM khAlI thaze.

Page #197
188 pAMca maNiyuM - traNa maNiyuM ATha traNe maNiyuM maNiyuM - 2 + 5 = 7 5 - 5 = 0 1 maNa - have traNa maNiyAmAM je 1 maNa che te pAMca maNiyAmAM nAkhI devuM ane ATha maNiyAmAMthI 3 maNiyuM bharIne pAMca maNiyAmAM nAkhavuM, eTale ATha maNiyAmAM 4 maNa bAkI raheze ane pAMca maNiyAmAM paNa 4 maNa thaze. ATha pAMca maNiyuM maNiyuM 7 - 3=4 1 + 3 = 4 [ 84 ] AvA koyaDAomAM pAchaLathI zarUAta karavAthI ene ukela tarata AvI jAya che. ahIM te rIte gaNatarI karavI joIe. yAtrALue cethA maMdire pUjA karI lIdhI ane nIce utaryo tyAre tenI pAse kaMI vadhyuM na hatuM, eTale pagathiyA utaravAnuM zarU karyuM, tyAre tenI pAse 100 phUle levA joIe. have te dareka maMdiramAM ardhA phUle caDAve che, eTale adhAM phUle tenI pAse rahe che. A rIte teNe cothA maMdiramAM 100 phUle caDAvyAM haze, kAraNa ke tyAM pUjA karyA pachI tenI pAse 100 phUle vadhyAM che. have teNe A maMdiramAM caDatI vakhate 100 phUle caDAvyAM che, eTale

Page #198
trInnu maMdira pUruM karyAM pachI tenI pAse 300 phUlA hatAM e nakkI thAya che. have trIjuM ma Mdira utaratI vakhate teNe 100 phUle caDAvelAM che, eTale madiramAM pUjA karyA pachI tenI pAse 300 + 100 maLI kula 400 phUlo haze. jo e vakhate tenI pAse 400 phUlA hAya te teNe e maMdiramAM paNa 400 phUlA caDAvyAM haze ane e maMdiramAM caDatI vakhate 100 phUlA caDAvelAM hAI khInuM maMdira pUru' karyA bAda tenI pAse 100 + 400-400 maLI 900 phUlo haze. have bIjA madiramAM utaratI vakhate teNe 100 phUlA caDAvelAM che, eTale pUjA karyA pachI tenI pAse 900 + 100 = 1000 phUlA haze ane teTalAM ja maMdiramAM caDAvatAM ane pagathiyAM caDatAM 100 phUle caDAvelAM hAi teNe prathama maMdira pUruM karyuM. tyAre tenI pAse 100 + 1000+1000 maLI 2100 phUlA haze. have pahelA maMdiramAM utaratI vakhate teNe 100 phUlA caDAvelAM che, eTale pUjA karyA pachI tenI pAse 2100 + 100 = 2200 phUlA haze ane teTalA ja madiramAM caDAvatAM ane pagathiyAM caDatAM 100 phUle caDAvelAM hAI tenI pAse 100 + 2200 + 2200 = 4500 phUlA haze. [ 85 ] pahelA pAse 1 maNa ne 1 zera. khIjA pAse 3 maNu ane 1 zera. jo bIjo 1 maNa geALa Ape te pahelA

Page #199
19o pAse 1 maNa ane 1 zera + 1 maNa = 2 maNa ane 1 zera thAya ane bIjA pAse 3 maNa 1 zera - 1 maNa= 2 maNa ane 1 zera geLa thAya. je pahele 1 maNa goLa Ape te tenI pAse 1 maNa ane 1 zera - 1 maNa = 1 zera goLa rahe ane bIjAnI pAse 3 maNa 1 zera + 1 maNa =4 maNane 1 zera arthAt 161 zera thAya, eTale ke pahelA karatAM 161 gaNo thAya. [ 86 ] e lITI nIce pramANe doravI joIe - ja thI zarU karIne sudhI, ra thI ja sudhI, 1 thI 5 sudhI ane tyAMthI sudhI lITI deratAM zarata pUrI thAya che. ' ' [ 87 ] e mANasa phebruArInI 29 mI tArIkhe janme

Page #200
haze. 60 varSamAM phebruArInI 28mI tArIkha 15 vAra ja Ave che, kAraNa ke te mAtra lipayaramAM ja Ave che. ane lipUIyara traNa sAmAnya varSo pasAra thayA pachI Ave che. [ 88 ] 600 mAIla. 300 jatAM ane 300 AvatAM. jatI vakhate haDI kalAkanA 20 mAIlanI jhaDape cAle, eTale 15 kalAka lAge ane vaLatI vakhate 15 mAIlanI jhaDape cAle, eTale 20 kalAka lAge. A rIte vaLatI vakhate 5 kalAka vadhAre lAge. [ 89 ]. pa pAsA ke jenA para badhA maLIne 30 akSare hoya te 620, 448, 401, 735, 259, 439, 360, 000 judI judI rIte goThavI zakAya. have eka mANasa eka sekanDamAM eka rIte goThave te 1,967, 468, 975, 879, 120 varSa jAya ane duniyAnA 100,000,000 daza koDa mANase kAme lAge te paNa temane 109016 daza lAkha trANuM hajAra ne soLa varSa joIe. [ 90 ] sabhAsadenI saMkhyA 311 ane lavAjama rUA. 5-0-7 pAI. 1566 rUA. pa . pa pAInI pAIo karIe te 300737 thAya che. A rakama 311 ane 967ne guNAkAra 1 t + +

Page #201
che. have sabhAsadanI saMkhyA 500 thI nIce hatI, eTale 311 ne AMkaDe sabhAsadenI saMkhyA sUcave che ane 967 pAI lavAjama sUcave che. 967 pAI = 80 AnA 7 pAI, eTale 5 rU. 0 A. 7 pAI 9 ] 2 mInITa pa33 sekanDamAM. dareka naLa dvArA eka mInITamAM keTaluM pANu khalAsa thAya tenI gaNanA karavAthI A koyaDAne tarata ukela AvI jAya che. 1 1 1 1 1 30+20+15+12+10 + = - - - + ---- 20 30 - +--- 1 --- 40 50 60 1 mInITamAM 7, khAlI thAya eTale pUrI TAMkI khalAsa thatAM 6 mI. 53 sekanDa lAge. 87) 600 (6 para 78 = 66 mI. = 6 mInITa pa33 sekanDa [ ra ] dhanya girA gujarAtanI. [ 93 ] 12 khUNAnI AkRti banAvIne dareka hAramAM 11, sipAI goThavyA haze. AthI 120 sipAIonI e pramANe

Page #202
goThavaNa thaI zakI haze khUNAvALe baMne hAramAM gaNAya, e rIte 12 411 = 132 mAMthI-12 nIkaLI jAya, eTale 120 rahe. - kALa kAnAe prathama nIce pramANe vADa banAvyuM haze ? 24 thAMbhalA 8-0-0-0 -0-0-0-0-0-00-0-0 1 thAMbhale ! 0 1 thAMbhale, 0-0-0-0-0-0-0-0-8-0-0-8-0-1-0 24 thAMbhalA pachI teNe baMne bAju 1-1 thAMbhalo vadhAratAM mApa bamaNuM banI javAthI 200 bakarAM samAI jAya tevaDe vADo banyuM haze. 24 thAMbhalA 1 thAMbhale ( 1 thAMbhalo 1 thAMbhale 5 1 thAMbhale. 24 thAMbhalA [ 95 ] prathama 1 ane 3 kamAMkanA pustaka sAthe upADIne

Page #203
tene 6 ane 4 nI vacce goThavI devA joIe, eTale goThavaNa nIce mujaba thaze? have 6 ane 1 naMbara sAthe ucakIne 5 ane 2 nI vacce mUkI devA joIe, jethI nIce pramANe goThavaNa thazeH 3 4 5 6 1 2 pachI 1 ane 2 sAthe ucakIne tene sahuthI AgaLa mUkI devA joIe, jethI 1 2 3 4 5 6 e pramANe geThavAI jaze. [ 96 ] sAdI samaja to ema ja kaheze ke dareke je paisA kharyA hoya te laI le, paNa gaNita ene svIkAra karatuM nathI. e nIce pramANe hisAba karI batAve cheH 10 AnA + 12 AnA + 16 AnA maLI kula mIThAI 38 AnAnI lIdhI. te cAra jaNe khAtAM dareke lA AnAnI mIThAI khAdhI. A rIte jeNe 10 AnAnI mIThAI lIdhI hatI tene be AnIne bhAga vadhe. 12 AnAnI mIThAI lIdhI hatI tene zA AnIne bhAga vadhe ane 16 AnAnI mIThAI lIdhI hatI tene dA AnI bhAga vaLe. A rIte kula 9 AnI bhAga mATe pilAe 2 rU. 6 AnA eTale 38 AnA ApyA, tethI 1 AnI barAbara 4 Ane levAnA thayA. e rIte

Page #204
195 2 AnA maLe. pahelAne 05 x 4 = khIjAne 25 x 4=10 AnA maLe. trIjAne 65 44=26 AnA maLe. kula 38 AnA. [ 97 ] meTI mINabattInI UMcAI 9 iMca ane nAnI mINabattInI UMcAI 8 iMca. AmAM prathama mINabattIonI aLavAnI jhaDapa zeAdhavAthI kAma sarala ane che. 8aaaa vAge ane mINabattIonI UMcAI sarakhI ja che, paNa nAnI 15 kalAkamAM pUrI thAya che ane meATI 2 kalAkamAM pUrI thAya che. have te ja jhaDapathI joie tA meATI jAA thI 85 vAgatAmAM 4 kalAka saLagI e ja vakhatamAM nAnI 3 kalAka saLagavI joie, paNa te rAA kalAka ja saLagI, kAraNa ke te UMcAimAM 1 IMca echI hatI. eTale nAnI mINabattI saLagavAnuM pramANa 0aa kalAke 1 IMca che, te mINabattI kula 4 kalAka saLagI che, eTale tenI UMcAI 8 iMca hAvI joie ane bIjI tenAthI 1 iMca meATI che, eTale 9 iMca hAvI joIe. [ 98 ] : 76. tenA hisAba A rIte maLI raheze : pahelA dezamAM 76 x ? = 38 + 2 =40 nAkarIe rahyA. mAkI 36 rahyA.

Page #205
bIjA dezamAM 36 43 = 18+ 2 = 20 nokarIe rahyA. bAkI 16 rahyA. trIjA dezamAM 16 4=8+ 2 = 10 nekarIe rahyA. bAkI 6 rahyA. cothA dezamAM 6 4 = 3 + 2 = 5 nekarIe rahyA ane 1 vaLe, te pAMcamA mulakamAM cAlyA gayA. [ 99 ] mAtra 2000 rUpiyA. AMkaDA mAMDe eTale khabara paDaze. vidhavAne kA rUpiyA maLe che. have dareka putrIne bamaNuM paisA maLe che, eTale 24 rUpiyA maLe che ane temanI saMkhyA traNanI che, eTale 64 rUpiyA maLe che. have putrane dareka putrI karatAM traNa gaNA maLe che, eTale 64 maLe che ane temanI saMkhyA cAranI che, eTale kula 24 maLe che. A rIte 1ra + 60 + 245 = 31ma nI sAme rUA. 62000 che, eTale 1 = 2000 thayA. tenI tAlikA nIce pramANe thaze? vidhavA putrIo 3 4 4000 = putre 4 x 12000 = 2000 rUA. 12000 rUA. 48000 rUA. kula 62000 rUA.

Page #206
197 [ 1oo ] nIce pramANe goThavaNa karI haze. -- - - - -- - - - -- -- - - - - -- 11 1435 8 33 25 172839 1 5 3734 12 27 OOOOOOOOOO O OCCO 0 0 0 0 0 0 0 | osCooOOOOoooooo 32 30 7 16 26 3 31 101336 40 18 24 6 38 prathama DAbI bAjunA uparanA khUNe 11 lakhyA che, tyAMthI gaNavA mAMDe eka, be, traNa....jyAM daza Avaze tyAM 1 Avaze. ekI e lADunuM cinha che. tyAM moTuM vartula batAveluM che. tyAra pachI gaNavA mAMDe ke eka, be, traNa...jyAM daza Avaze tyAM 2 Avaze. bekI e purInuM cinha che. tyAM pUrInA AkArane nAne laMbagoLa batAvela che. basa, A rIte gaNatAM ja jAo te badho ekImAM lADunuM nizAna Avaze ane badhI bekImAM pUrInuM nizAna Avaze.

Page #207
pUravaNI aMkanI saMjJAo * prAcIna zAstromAM vaparAyelI aMka mATenI keTalIka saMjJAo - 0 = kha, ambara, bema, ananta, puSkara Adi. 1 = Adi, zazi, Indra, candra, bhU, graha, bhAnu Adi. 2 = yama, lecana, kara, karNa, kuca, oSTha Adi. 3 = leka, bhuvana, kAla, agni Adi. = veda, zruti, jaladhi, varNa, yuga Adi. pa= bANa, parva, prANa, pavana, viSaya, tatva Adi. 6 = rasa, aMga, itu, rAga, zAstra Adi. 7 = naga, zela, acala, RSi, vAra, svara Adi. 8= vasu, nAga, gaja, sapa, maMgala Adi. 9= aMka, naMda, nidhi, gRha, kAra, becara Adi. 10 = AzA, diku, aMgulI, paMkti, avatAra Adi, 11 = iza, bharga, rudra, Izvara, bhIma Adi. 12 = ravi, nayana, bhU, pAsa, zazi Adi. 13 = vizva, kAma, ratnandu Adi. 14 = Indra, zuka, puraMdara, manu, vidyA, bhega Adi. 15 = tithi, dina, bANendu, zarAnja, zaredra Adi. 16 = nRpa, rasabhU, rAjA, bhUpati, citrabhAnu Adi. A rIte 50 aMka sudhInI saMjJAo maLe che. II

Page #208
199 AvuM ja bIjuM suMdara prakAzana gaNita rahasya trIjI AvRtti prakaTa thaI cUkI che. pR. 212, pAkuM bAInDIMga, mUlya rUA. 5-00, A graMthamAM nIcenAM prakaraNA ApavAmAM AvyAM che : 1 Amukha 2 akasthAna 3 zyanuM sAmarthya 4 gaNitanI viziSTa prajJA 5 mATI sakhyAe yAda rAkhavAnI rIta 6 a kasmRtinA eka vilakSaNa prayAga cha sakhyAtA camatkAra 8 eka-ekanA A prayogA 9 samaraka saMkhyAeA saravALA 10 traNa kramika sakhyAenu zeAdhana 11 ajJAta saMkhyAenuM jJAta saMkhyAmAM pariNamana 12 uttaranI acUka AgAhI 13 hajAra vikalpanI eka ja uttara 14 dhArelA prazna kahevAnI rIta 15 prakIrNa pAMca prayogA kAyaDAo vaga pahelA, khIjo, trIjo. uttarA sanmAnanIya zrI ke, ke, zAhu, sanmAnanIya zrI morArajI sAI Adi aneka mahAnubhAveAe A graMtha mATe UMcA abhiprAya darzAvelA che.

Page #209
AvuM ja trIjuM suMdara prakAzana gaNita-siddhi UMcA ophaseTa kAgaLa, pR. 212, pAkuM bAInDIMga - mU, rU. 5-00. A graMthamAM nIcenAM prakaraNo ApavAmAM AvyAM che - 1 upakrama 2 dazane pApa 3 saravALAnI prAcIna ane Adhunika paddhati 4 saravALAmAM jhaDapa kema Ave ? 5 saravALAnI TUMkI ane sahelI rIte 6 saravALAnI cakAsaNI 7 saravALAno eka suMdara prayoga 8 bAdabAkI aMge keTaluMka 9 bAdabAkInA traNa prayogo 10 guNAkAranI prAthamika bhUmikA 11 guNAkAranI TUMkI ane sahelI rIta12 " 13 14 bahu moTo guNAkAra karavAnI sahelI rIta 15 guNAkAra aMge vizeSa . 16 guNAkAranI cakAsaNI 17 bhAgAkAranI mULa bhUmikA 18 bhAgAkAranI TUMkI ane sahelI rIte 19 bhAgAkAra aMge vizeSa 20 bhAgAkArane saMkSepa ane cakAsaNI 21 gaNita ane gaNatarI hisAbamAM jhaDapa tathA ekasAI lAvavA mATe A graMtha che ja upayogI che.

Page #210
- Gessasses saMka9pasAda 0 0 0 0 0 unnati sAdhavAnI adbhuta kalA bIjI AvRtti prakaTa thaI gaI che lekhaka : adhyAvizArada vidyAbhUSaNa zatAvadhAnI paMDita zrI dhIrajalAla TokarazI zAha ' mAnavajIvanamAM saMka95nuM zuM sthAna che ? tene eka baLa-zakti tarIke kevI rIte vikAsa karI zakAya ? ane tenA dvArA jIvananA bhinna bhinna kSetramAM kevI rIte unnati sAdhI zakAya ? tenuM vistRta ane vizada vivecana karatA A graMtha vidvAna ane patrakAro dvArA khUba vakhaNAcele che ane teNe aneka jIvanane saphaLa-samRddha banAvyA che. A graMtha avazya vAMce ane mitrone paNa avazya vaMcAve. | UMcA kAgaLa, pR. saM. 204, pAke dviraMgI ' ke', sU9ya rUA. 6-00. prAptisthAna : prajJA prakAzana maMdira ladhAbhAI gaNapata bIlDIMga, 113-15 kezavajI nAyaka roDa (cAcabaMdara ) muMbaI-9 38 0 0 0 0 0 0 - Ava2Na * dIpaka prinTarI * rAmadAvAda 1 voererarea 0 0 0 0 0 0 0 ka