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

Page 298

CHAPTER VI- MIXED PROBLEMS.
101
dividing the various amounts of interest by their corresponding periods of time. Thus the various capital amounts happen to be found out.
Examples in illustration thereof.
40. (Sums represented by) 10, 6, 3 and 15 are the (various given) amounts of interest, and 5, 4, 3 and 6 are the corresponding) months (for which those amounts of interest have accrued); the mixed sum of the corresponding) capital amounts is seen to be 140. (Find out these capital amounts.)
41. The (various) amounts of interest are 5, 6, 101, 16 and 50; (the corresponding periods of time are) 5, 6, 7, 8 and 10 months ; 80 is the mixed sum of the various capital amounts lent out. What are these amounts respectively ?)
The rule for arriving separately at the various periods of time from their given mixed sun:
42. Let the quantity representing the mixed sum of the (various) periods of time be divided by the sum of those (various quotients) obtained by dividing the various amounts of interest by their corresponding capital amounts; and (then) let the (resulting) quotient be multiplied (separately by each of the abovementioned quotients). (Thus) the (various) periods of time happen to be found out.
An example in illustration thereof.
43. Here, (in this problem,) the (given) capital amounts are 40, 30, 20 and 50 ; and 10, 6, 3 and 15 are the corresponding) amounts of interest; 18 is the quantity representing the mixed sum of the respective) periods of time (for which interest has accrued. Find out these periods of time separately).
42. Symbolioally,
=t, where m=t+tz+tz+ &c.
iz + 18+
.
"
Ct C2 C Similarly ta, ts, etc., may be found out.