पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/३३६

138 JANITASARASANGRAHA. wealth. Of what nature are the prices of those azure-blue gems, emeralds, and diamonds ? The rule for arriving at the (value of the) invosted capital by means of the rate of purchase, the rate of sale, and the profit obtained :- 167. The buying and the selling rate-measures of the com- modity are each multiplied alternately by the rate-prices; (the product obtained with the help of) the buying rate-measure is divided by (the other product obtained with the aid of) the selling rate-measure. The profit, divided by the resulting quotient as diminished by one, gives rise to the originally employed capital amount An example in illustration thereof. 168 A merchant buys at the rate of 7 prasthas of grain for 3 panas, and sells it at the rate of 9 prasthas for 5 panus, and makes a profit of 72 panas. What is the capital employed in this tran- saction? Thus ends Sakalu-kuttikäru in the chapter on mixed problems. Suvarna-kuttikara. Hereafter we shall explain that kuttikära which consists of calculations relating to gold. The rule for arriving at the varna of the resulting mixed gold obtained by putting together (different component varieties of) gold of (various) desired varnas - 169. It has to be known that the (sum of the various) products of (the various component quantities of) gold as multiplied by (their respective) "arnas, when divided by (the total quantity of) 167. If the buying rate is a things for b and the selling rate is c things for d. and if m is the gain by the transaction, then the capital invested 18- - (ad -1) 112 T