the big theatre of the mountain top; and 5 times tho square root (of that collection) stayed in an excellent forest of *vakula* trees; and (the remaining) 25 were seen on a *punnāga* tree. O arithmetician, give out after calculation (the numerical measure of) the collection of peacocks.

86. One-fourth (of an unknown number) of *sārasa* birds is moving in the midst of a cluster of lotuses; and parts (thereof) as well as 7 times the square root (thereof) move on a mountain; (then) in tho midst of (some) blossomed *vakula* trees (the remainder) is (found to be) 56 in number. O you clever friend, tell me exactly how many birds there are altogether.

37. No fractional part of a collection of monkeys (is distributed anywhere); three times its square root are on a mountain; and 40 (remaining) monkeys are seen in a forest. What is the measure of that collection (of monkeys) ?

38. Half (the number) of cuckoos were found on the blossomed branch of a mango tree; and 18 (were found) on a *tilaka* tree. No (multiple of the) square root (of their number was to be found anywhere). Give out (the numerical value of) the collection of cuckoos.

39. Half of a collection of swans was found in tho midst of *vakula* trees ; five times the square root (of that collection was found) on the top of *tamāla' trees ; and here nothing was seen (to romaim therafter). O friend, give out quickly the numerical measure of that (collection).*

Here ends the *Mūla* variety (of miscellaneous problems on fractions).

The rule relating to the *Śēșamūla* variety (of miscellaneous problems on fractions).

40. (Take) the square of half (the coefficient) of the square root (of the remaining part of the unknown collective quantity), and

40. Algebraically, . From this the value of *x* is to be found out according to rule 4 given in this chapter. This value of *x-bx* is obtained easily from the equation .