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Shri Mahavir Jain Aradhana Kendra
www.kobatirth.org
Acharya Shri Kailassagarsuri Gyanmandir
132
GANITASĀRASANGRAHA.
An example in illustration thereof. 1441 and 145]. There are here fragrant citrons, plantains, wood-apples and pomegranates mixed up (in three heaps). The number of fruits in the first (heap) is 21, in the second 22, and in the third 23. "The combined price of each of these Theaps) is 73. What is the number of the (various) fruits (in each of the heaps), and what the price (of the different varieties of fruits) ?
The rule for arriving at the numerical value of the prices of dearer and cheaper things (respectively) from the given mixed value (of their total price) :
1461. Divide (the rate-quantities of the given things) by their rate-prices. Diminish (these resulting quantities separately) by the least among them. Then multiply by the least of the abovementioned quotient-quantities) the given mixed price of all the things; and subtract (this product) from the given (total number of the various) things. Then split up (this remainder optionally) into as many (bits as there are remainders of the above quotientquantitios left after subtraction); and then divide (these bits by those remainders of the quotient-quantities. Thus the prices of the various cheaper things are arrived at). These, separated from the total price, give rise to the price of the dearest article of purchase.
Examples in illustrution thereof.
1471 to 149. “In accordance with the rates of 3 peacocks for 2 panas, 4 pigeons for 3 panas, 5 swans for 4 panas, and 6 sārasa
146). The rule will be clear from the following working of the problem given in 1471149:
Divide the rate-quantities 3, 4, 5, 6 by the respective rato-prices 2, 4, 4, 5; thus we have 1, , , . Subtract the least of these from each of the other throe. We get to, 1, . By multiplying the given mixed price, 56, by the abovementioned least quantity, we have 56 x. Subtract this from the total number of birds, 72. Split up the remainder 4 into any three parts, say }, 6, Dividing these respectively by 18, is, zo we get the prices of the first three kinds of birds, 14, 12, 36. The price of the fourth variety of birds can be found out by subtracting all these three prices from the total 56.
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