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 299

102
GANITASÁBASANGRAHA.
The rule for arriving separately at the rate-interest of the ratecapital from the quantity representing the mixed sum obtained by adding together the capital amount lent out, which is itself equal to the rate-interest, and the interest on such capital lent ont:
44. The rate-capital as multiplied by the rate-time is divided by the other time (for which interest has accrued); the square root of this (resulting quotient) as multiplied by the (given) mixed sum once, and (then) as combined with the square of half of that (above-mentioned) quotient, when diminished by the half of this (same) quotient, becomes the (required) rate-interest (which is also equal to the capital lent out).
E.camples in illustration thereof.
45. The rate-interest per 100 per 4 months is unknown. That (unknown quantity) is the capital lent out ; this, when combined with its own interest, happens to be 12; and 25 months is the time for (which) this interest has accrued. Find out the rate-interest equal to the capital lent out).
46. The rate-interest per 80 per 3 months is unknown ; 74 in the mixed sum of that (unknown quantity taken as the capital lent out and of the interest thereon for 1 year. What is the capital here and what the interest ?
The rule for separating the capital, which is of the same value in all cases, and the interest (thereon for varying periods of time), from their mixed sum :--
47. Know that, when the difference between (any two of) the (given) mixed sums as multiplied by each other's period * (of
CT2 CT
44, Symbolically,
-*m
+
= I which is equal to c.
47. Symbolicalls mit 5 mg
-
* By " the period of interest " here is meant the time for which interest hay accrued in connection with any of the given mixed sums of capital and interest.