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146
GANITASARASANGRAHA.
multiplying the (given proportional quantities of the various kinds of the exchanged) gold by (their respectivo specified) varnas. (The resulting quotient) is to be multiplied by the original varna (of the gold to be exchanged). If by this product as diminished hy one, the increase in the weight of gold due to exchango) is divided, and the quotient (so obtained) is subtracted from the original wealth of gold, the remaining (weight of unexchanged) gold is arrived at. This (weight of the unoxchanged gold) is then to be subtracted from the sum of the weight) of the original gold and the incrcase (in weight due to exchange). Then if the result
ing remainder (here) is divided by the sum of the proportional multiple numbers connected with the exchango, and is then multiplied by each of those) proportional numbors (soparately), the (various woights of) gold obtained in exchange and characterised by the specific varnas and the specified proportions are arrived at.
An example in illustration thereof. 201--205. Thero is a certain merchant desirous of obtaining profit; and the gold in his possession) is of 16 carnus and 200 in weight. A portion of it is exchanged in return for (four different kinds of) gold characterised respectively by 12, 8, 9 and 10 varnits, (so that those varicties of gold are by weight) in proportions which begin with 1 and are then (regularly) multiplied by 2. The gain (in the weight of gold resulting out of this oxchange transaction) is 102. What is the remaining (weight of the unexchanged) gold? Toll me also the weights of gold obtainoil in exchange corresponding to thoso (above-mentioned varnas).
The rule for arriving at (the weight of the original (qnantity of) gold with the aid of the gold exchange (in part), and with the aid (of the weight) of gold seen to be in cxcogs (in consequence of the exchange) :
206. Each specified part of the original) gold (to be exchanged) is divided by the varna corresponding to its exchange. The resulting quotient is in each case to be multiplied by the
