पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/३५०

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152 GANITASĀRASANGRAHA. measured in) yojana, subtract the (continued) prodnet of (the numerical value of) the weight to be carried, (that of the stipu- lated) wages, the distance already gone over, and the distance still to be gone over. Then, if the fraction (viz, half) of the weight to be carried over, as multiplied by the (whole of the stipulated) distance, and then as diminished by the squalo root of this (difference above mentioned), be divided by the distance still to be gone over, the required answer is arrived at. An example in illustration thereof. 27 Here is a man who is to receive, by carrying 2 Jack- fruits over yojana, 7 of them as wages. Ile breaks down at half the distance. What (amount within the stipulated wages) is (then) due to him? The rule for ariving at the distances in yojanas (to be travelled over) by the second or the third weight-carrier (after the first or the second of them breaks down) :- 228. From the product of the (whole) weight to be carried as multiplied by the (value of the stipulated) wages, subtract the square of the wages given to the first carrier This (difference has to be use l as the) divisor in relation to the (continued) product of the difference between the (stipulated) wages (and the wages already given away), the (whole) weight to be carried, and the (whole) distance (over which the weight has to be carried. The resulting quotient gives rise to) the distance to be travelled over by the second (person). An example in illustration thereof. 229. A man by carrying 24 jack-fruits over (a distance of) five yojanas has to obtain 9 (of them) as wages therefor. When 6 of these have been given away as wages (to the first carrier), what is the distance the second carris has to travel over (to obtain the remainder of the stipulated wages)? 228. Algebraically D-d = (b-x) a D, which can beeasily found out from the equation in the last note. ab-x²