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 302

CHAPTER VIMIXED PROBLEMS.
105
59. The monthly interest on 60 is exactly 5. The capital lent out is 35; the amount of the) instalment (to be paid) is 15 in (every) 3 months. What is the time of discharge) of that (debt)?
The rule for separating various capital amounts, on which the same interest has accrued, from their mixed sum :
60. Let the (given) mixed sum multiplied by the time (given) in relation to it be divided by the sum of that quantity, wherein are combined the various rate-capitals as multiplied by their respective rate times and as divided by their respective rate-interests. The interest (is thus arrived at); and (from this the capital amounts are arrived at an before.
Examples in illustration thereof. 61. The mixed sum (of the capital amounts lent out) at the rates of 2, 6 and 4 per cent per mensem is 4,400. Here the capital amounts are such as have equal amounts of interest accruing after 2 months. What are the capital amounts lent, and what is the equal interest) ?
62. An amount represented (on the whole) by 1,900 was lent out at the rates of 3 per cent, 5 per 70, and 3) per 60 (per mensem); the interest (accrued) in 3 months on the various lent parts of this capital amount) is the same (in each case). (What are these amounts lent out and what is the interest ?)
The rule for arriving at the lent oat capital in relation to the known time of discharge by instalments:
63. Let the amount of the instalment as divided by the time thereof and as multiplied by the time of discharge be divided by
this, the capitals
60. Symbolically, C, T
-= i; from
+ C2 * 13 + &c. are found ont by the rnle in Ch. VI. 10.
--- = 1xt XI
, where s= amount of instalment.
1+ TRC
p
the time of an iustalment, and t = the tinie of discharge.