पाटीगणित (श्रीधराचार्य - प्राचीन संस्कृत टीका एवं प्रो. कृपाशंकर शुक्ल सविस्तार व्याख्या)

32 DETERMINATIONS
as also the fruit (i.e., interest), etc., as multiplied by the other
time by their sum, and then multiply them by the mixed
amount : then are obtained the capital etc. in their respective
order.¹
This rule is similar to the previous one.
Ex. 54. The rate of interest being 5 per cent per
month, the commission of the surety (bhāvyaka) 1 per cent per
month, the fee of the calculator (vṛtti) ½ per cent per month,
and the charges of the scribe ¼ per cent per month, a certain
sum amounts to 905 in a year. (Find the capital, the interest,
and the shares of the surety, calculator, and the scribe).²
Here argument = 100, time = 1 month, first fruit = 5, second
fruit = 1, third fruit = ½, fourth fruit = ¼ ; amount = 905, and other
time = 1 year, i.e., 12 months.
∴ Capital = (argument × time × amount) / [argument × time + (sum of fruits) × other time]
= (100 × 1 × 905) / [100 × 1 + (5 + 1 + ½ + ¼) × 12]
= 500.
Interest = (first fruit × other time × amount) / [argument × time + (sum of fruits) × other time]
= (5 × 12 × 905) / [100 × 1 + (5 + 1 + ½ + ¼) × 12]
= 300.
Commission of surety = (second fruit × other time × amount) / [argument × time + (sum of fruits) × other time]
= (1 × 12 × 905) / [100 × 1 + (5 + 1 + ½ + ¼) × 12]
= 60.
Similarly, fee of the calculator = 30, and charges of the scribe = 15.
Rule for finding the time in which a sum lent out at simple
interest will be paid back by equal monthly instalments :
49-50. To get the desired time (īpsitakālopanaye) sub-
tract from the capital (mūlāt) the present worths of the first
monthly instalment, the second monthly instalment, etc.,

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¹ Cf. GT, p. 83, vs. 113; SiŚe; xiii. 18;
² The same example occurs in GT, p. 83, vs. 114.