Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

Page 328

126
GANITASĀRASANGRAHA.
quantities to be distributed in accordance with the problem). Each (of the quotients so obtained) happons to be the required (quantity which is to be multiplied by the given) multiplier in the process of Bhinnakuttikära.*
An example in illustration thereof. 135. A certain quantity multiplied by 6, (then) increased by 10 and (then) divided by 9 leaves no remainder. Similarly, ( certain other quantity multiplied by 6, then) diminished by 10 (and then divideil by 9 leaves no remaindor). Tell me quickly what those two quantitios are (which are thus multiplied by the given multiplier bere).
Sakala-kuttıkara. The rulo in relation to sakala-kuttikära.
1361. The quotient in the first among the divisions, carried on by means of the dividend-coofficient of the unknown quantity to be distributed), as well as by means of the divisor and the (sucoessively) rosulting remainders, is to be discarded. The other quotients obtained by means of this mutual divisiou (carried on till the divisor and the remainder become equal) are to be written down (in a vertical chain along with the ultimately equal remainder and divisor); to the lowermost figure in this chain), the remainder (obtained by dividing the givon kuown quantity in the problem by the divisor tberein), is to be added. Then by means of these numbers in the chain), the sum, (which has to be) obtained by adding (successively to the lowermost vumber) the product of the two
136. This rulo will become clear from the following working of the problem given in 1375:-- The problem is, when 177240 is an integer, to find out the valaos of e.
201 Removing the oonimon factors, we have
is an integer,