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100
GANITASĀRASANGRAHA.
connected with the loan) are not known. Their sum however is 32. What is the capital, what is the time, and what the interest ?
The rule for arriving separately at the various amounts of interest accruing on various capitals for various periods of time from the mixed sum of (those) amounts of interest :
37. Let each capital amount, multiplied by the correspozrding) time and multiplied (also) by the (given) total (of the various imounts) of interest, be separately divided by the sum of the products obtained by multiplying each of the capital amounts by its corresponding time, and let the interest (of the capital so dealt with) be (thus) dcolured.
An example in illustration thereof.
38. In this (problem), the (given) capitals are 40, 30, 20 and 50; and tho months arc 5, 4, 3 and 6 (respoctively). The sum of he amounts of interest is 34. (Find out cach of these amounts.)
The rulc for soparating the various capital amounts from their mixed sum :
39. Let the quantity representing the mixed sum of the various apitals lent out be divided by the sum of those (quotients) which tre obtained by dividing the various amounts of interest by their sorresponding periods of time, and let the resulting) quotient be nultiplied (respcotively) by (tho various) quotients obtained by
and_
0, tig m
87. Symbolically,
tynn ot,+ og ty + Cots+ ...
----- =ig: where m- ,+ i+is+. .
City + 0,13 + Cats +. . . • and C1, C, Cs, etc., are the various cæpitals, and t1, ts, ts, etc., are the various periods of tino.
39. Symbolically,
and
x
=
C:
tots . eto.
whero
de + 03 +09+.
=
.
