Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

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114
GANITASĀRASANGRAHA.
purchasing rate. By reversing the processes, one may arrive at the valuation of the highest capital (invested in the transaction).
D.camples in illustration thereof.
1031. The capital amounts invested by (three) men are (respectively) 2, 8 and 36; 6 is the price at which the remnants of the commodity are to be sold. Having purchased and sold at the same rates, they became possessors of equal wealth. (Find out the buying and selling prices.)
1043 Those three persons took up 12, i and 21 (as their respective capital amounts) and conducted the operations of buying and selling (in relation to the same commodity at the same rates of price); by selling the remnaut (in the end) at a price represented by 6, they became possessors of cqual wealth. Find out their buying and selling prices.)
1054. The quantity measuring the equal wealth is 41, and the price at which the remnants of the commodity are sold is 6. () arithmetician, tell me quickly what the highest capital invested) is, and what the (various) capitals are.
106. In the case where 35 dināras give the numerical measure of the equal wealth, and 4 is the price at which the remnant is to be sold, you tell me, O arithmetician, what the highest capital (invested) is.
spoken of as the remnant, and the price at which this remnant is sold is the remnant-price.
Symbolically, let a, a + b and a + b + c be the capitals, where the last is the IT or the largest capital, and let p be the fare or the remnantprice ; then, according to the rule, a + b + c + 1 = the vending rate ; and (a + b + c + 1) P-1= the purchasing rate.
From these, it can be easily shown that the sum of the amonnts realised by selling the commodity at the vending rate and the remnant at the remnantprice turus out to be the same in each case.
It may be noted that the purchasing rate happens in problems bearing on this rule to be the same in value as the
F o r the equal sale-proceeds. 1054. It may be noted here that, according to the rule, it is only the largest sapital that is found out; while the other capitals required in the problem are optionally chosen, so as to be less than the largest capital.