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GANITASĀBASANGRAHA.
purchasing rate. By reversing the processes, one may arrive at tho valuation of the highest capital (invested in the transaction).
Eramples in illustration thereof. 1033. Tho capital amounts invested by (three) men are (respectively) 2, 8 and 36; 6 is tho price at which the remnants of the cominodity are to be sold. llaving purchased and sold at the name rates, they became possessors of equal wealth. (Find ont the buying and selling prices.)
104. Those three persons took up 13, 1 and 2} (as their rospective capital amounts) and conducted the operations of buying nad selling in relation to the same commodity at the same rates of price); by selling the remnant (in the end) at a price represented by 6, they became possessors of equal wealth. Find out their buying and selling prices.)
105). The quantity measuring the qual wealth is 41, and the price at which the remnants of the commodity are sold is 6. ( arithinetician, tell me quickly what the liighest capital invested) is, and what the (various) capitals are.
106). In the case where 35 lināras give the numerical measuro of the cynal wealth, and 4 is the price at which the remuant is to bo gold, you tell me, O arithmetician, what the highest capital (investerl) is.
spoken of in the remnant, and the price at which this remnant is sold is the remnant-price'.
Symbolionlly, leta, a + band a + b + c be the capitals, where the last is the Fay or the largest capital, and let p be the TTATE or tho remnantprice; then, focording to the rule, a + b + c + 1 = the viniling rate; nnd ( + b + C + !) P-= the purchasing rate.
From those, it can be easily shown that the sum of the amonnte realised by welling tho com modity at the vending rate and the rennent at the remnantprior turns out to be the same in ench Case.
It may be noted that the purchasing rate happens in problems bearing on this rule to be the same in value as the 47 or the equal sa le proceeds.
1054. It may be noted here that, according to the rule, it is only the largest pitnl thnt is found out; while the other apitals required in the problem are optionally chosen, 90 as to be lous than the largest capital.
