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106
GANITASĀRASANGRAHA.
that interest on one for the time of discharge to 'which one is added; the capital lent out is (thus arrived at).
Kaamples in illustration thereof. 64. In accordance with the rate of 5 per cent (per mensem), 2 months is the time for cach instalment; and paying the instalment of 8 (on each occasion), a man here became free (from debt) in 60 months. What is the capital (borrowed by him)?
05. A certain person gives once in 12 days an instalment of 2%, the rate of interest boing 3 per cent (per mensem). What is the capital amount of the debt discharged in 10 months ?
The rule for arriving separately at the varions capital-amounts which, when combined with or diminished by their respective interests, are equal to one another, from their mixed sum, (the interests being either added to the capital amounts in all the given cases or subtracted from them similarly in all the given cuses) :
66. One is to be either combined with or diminished by the interest (accruing) thereon for the given period of time (in cach caso in accordance with the respectively given rate of interest ; then again in each case, one is divided respectively by these (combined or diminished yuantities arrived at as hefore). Thereafter the (given) mixed suun (of the various capital amounts lont out) is divided by the sum of these (resulting quotients), and in relation to the mixed num (so treated) the process of multiplication is to be conducted (separately in each case by multiplying it) by (the corresponding) proportionate part of the ahove. inentioned sum of the quotients). This gives rise to the cupital
Hi. Symbolically,
Ixtxl,
+80
1. It T.C
Tix C,
if T, XC
Similarly.
do.
do.
xxl
Itt, Cs
And so on for Crato,
