CHAPTER VI-MIXED PROBLEMS 123 ascetics and left 3 (fruits) as remainder Again 3 (heaps) were (similarly) divided among 11 persons, and the remainder was 5 fruits; then again 5 of those heaps were similarly divided among 7. and there were 4 more fruits (left out) of them. O you arith- metician who know the meaning of the kuttikära process of dis- tribution, tell me after thinking out well the numerical measure of a heap (here) 128. In the interior of the forest, 3 heaps (equal in value) of pomegranates were divided (equally) among 7 travellers, leaving 1 (fruit) as remainder; 3 (of such beaps) were divided (similarly) among 9, leaving a remainder of 3 (fruits; again) 5 (of such heaps) were (similarly) divided among 8, leaving 2 fruits as remainder. O arithmetician, what (is the numerical value of a heap here) 129. There were (heaps of fruits equal in numerical value), which after being combined with 2 (fruits of the same kind) were (equally) divided among 9 travellers (and left no remainder); 6 (heaps) combined with 4 (fruits) were (similarly) divided among 8 of them; and 4 (heaps) combined with 1 (fruit) were (also similarly) divided among 7 of them Give out the numerical measure (of a heap here). The rule for arriving at the original quantity distributed (as desired), after obtaming the remainder due to (the removal of certain specified) known quantities :- 130 (Obtain) the product of the (given) known quantity ( be removed), as multiplied by the fractional proportion of what is left (after a specified fractional part of what remains on the removal of the given known quantity has been given away). The next quantity is (ohtained by means of) this (product), to which What 130 Here the own quantity to be removed the agra. iemains after the removal of the agia is the remainder That fraction of this remainder which is given or taken away is the agrania, and what is left of the remainder after the agrumsa is given or taken away is the sessa or the remaining fractional proportion of the remainder. For example, where is the quantity to be found out, and a is the agra in 1e'ation to the first distribution with as the fractional proportion distributed, happens to be the ageansa, and (-a)- to be the sesama. 3
