Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 309

112
GANITASĀRASANGRAHA.
The required result is well arrived at by going through the process of the rule-of-three.
Examples in illustration thereof. 901 and 911. Pomegranates, mangoes and woodapples are obtainable at the respective) rates of 3 for 2, 5 for 3, and 7 for 5 panas. O you friend, who know the principles of calculation, come quickly having purchased fruits for 76 panas, so that the mangoes may be three times as the woodapples, and the pomegranates six times as much.
921 to 94. A follower of Jina had the image of Jina bathed in potfols of curds, ghee and milk. Three pots became filled with 72 palas (of these); 32 palas were found in the first pot and 24 in the second pot and 16 in the third pot. From these (potfuls of mixedup) curds, ghee and milk, find out cach of those ingredients) separately and give them ont, there being altogether 24 palas of ghee, 16 palas of nilk and 32 palas of curds.
95% and 96). Three puranas formod the pay of one man who is a mounted soldier; and at that rate there were 65 men in all. Some among them) broke down, and the amount of their pay was given to those that remained in the field. Of this, each man obtained 10 purānas. You tell me, after thinking weli, how many remained in the field and how many broke down.
The rule for the operation of proportionate division, wherein there is the addition or the subtraction of certain optionally chosen integral quantities :
973. The given total quantity is diminished by the integral quantities that are to be added, or is combined with the positive integral quantities that are to be subtracted; then with the help of this resulting quantity the operation of proportionate division is to be conducted, and the resulting proportionate parts are respectively combined with those (integral quantities that are to be added to them), or they are diminished (respectively) by those integral quantities that are to be subtracted).
971. The operation of proportionate division to be conducted here is according to any of the rules in stanzas 874 to 89).