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GAŅITABĀRABANGRAHA. tho products obtained by multiplying the (several component) quantities of gold by their respective varnas) is to be subtraoted. The remainder, when divided by the known component quantity of gold, (the varna of which is to be found out), gives rise to the required rarna; and when divided by the difference between the resulting varna and the known vurna (of an unknown component quantity of gold) gives rise to the (required weight of that) gold.
Another rule in relation to the unknown varna :
1761. The sum of the products of the various component quantities of) gold as multiplied by their respective vurnas is to be subtracted from the product of the total quantity of gold as multiplied by the resulting varna. Wise people say that this remainder when divided by the weight of the gold of the unknown varna gives rise to the required varna.
Examples in illustration thereof.
1774 and 178. With gold of 6, 4 and 3 (in weight),characterised respeotively hy 13, 8 and 6 as their rarnas, 5 in weight of gold of an unknown varna is mixed. The resulting vurna of the mixed gold is 11. O you, friend, who know the socrets of calculation, tell me the numerical value of this unknown varna.
179. Seven in woight (of a given specimen) of gold has exactly 14 as the measure of its varna; then 4 in weight (of another specimen of gold) is added to it. The rosulting varna is 10. Give out the anknown varna (of this second specimen of gold).
T'ho rule for arriving at the unknown weight of gold :
180. Subtract the sum, obtained hy adding together the products of the (various component quantities of) gold as multiplied by their respectivo varnas, from the product of the sum of the known weights) of gold as multiplied by the now durable resulting varna : the remainder divided by the difference between the (known) yarna of the uuknown quantity of gold and the resulting durable marwa (of the mixed gold) gives rise to the weight of) gold.
