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 303

106
GANITASĀRASANGRAHA.
that interest on one for the time of discharge to which one is added ; the capital lent out is (thus arrived at).
Examples in illustration thereof. 64. In accordance with the rate of 5 per cent (per mensem), 2 months is the time for each instalment; and paying the instalment of 8 (on each occasion), a man bere became free (from debt) in 60 months. What is the capital (borrowed by him) ?
65. A certain person gives once in 12 days an instalment of 23, the rate of interest being 3 per cent (per mensem). What is the capital amount of the debt discharged in 10 months ?
The rule for arriving separately at the various capital-amounts which, when combined with or diminished by their respective interests, are equal to one another, from their mixed sun, (the interests being either added to the capital amounts in all the given cases or subtracted from them similarly in all the given cases) :
66. One is to be either combined with or diminished by the interest (accruing) thereon for the (given period of time (in cach case in accordance with the respectively given rate of interest; then again in each case,) one is divided respectively by these (combined or diminished quantities arrived at as before). Thereafter the (given) mixed surn (of the various capital amounts lent out) is divided by the sum of these (resulting quotients), and in relation to the mixed sum (so treated) the process of multiplication is to be conducted (separately in each case by multiplying it) by (the corresponding) proportionate part (of the aboveinentioned sum of the quotients). This gives rise to the capital
66. Symbolically,
m
+ &c. 1+
-+ 1 x t xl - TxC
Ixt x1 I1;xci
1
+
1 xt x1 T. XC.
Similarly,
to.
do.
=
+
Con
Ixt x I.
TX C
And so on for C3, C4, &c.