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182
GANITASĀRASANGRAHA.
An example in illustration thereof.
1447 and 145]. There are here fragrant citrons, plantains, wood-apples and pomogranates mixed up (in threo 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 (heaps) is 73. What is the number of the (various) fruits (in cach of the kea ps), 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):--
1464. Divide (the rate-quantities of the given things) by their rate-prices. Diminish (these resulting quantities geparately) 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 romainder optionally) into as many bits as thore aro remainders of tho above quotientquantities left after subtraction); and then divido (thieso bits by thoso 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 parchase.
Exemples in illustration thereof.
1474 to 149." In accordance with the ratos of 3 peacocks for 2 panas, 4 pigoons for 3 panas, 5 swans for 4 panas, and 6 sirasa
148). The rulo will be clear from the following working of the problem givon in 147--149:--
Divide the rate quantities 3, 4, 5, 6 by the respective rate-priors 2, 3, 4, 5; thus wo lave ., ... Subtract the least of these from onoh of the other three. Wo get is, in By multiplying tho given mixed price, 56, by the obrve. ruentioned leant quantity,%, we have 10x. Subtract this from the total number of birds, 72. Split up the remainder into any three parts, say 1, 5, 1. Dividing these respectively by it is to wo get the prices of the first three kinds of birdig 1, 12, 36. The price of the fourth variety of birds can be found out by subtracting all these three prices from the total 6.
