# पृष्ठम्:गणितसारसङ्ग्रहः॒रङ्गाचार्येणानूदितः॒१९१२.djvu/३२१

एतत् पृष्ठम् परिष्कृतम् अस्ति
125
CHAPTER VI--MIXED PROBLEMS.

of what was thereafter left) ; and the other (son) took the other half. (Find the number of fruits brought by the father.)

132${\displaystyle {\tfrac {1}{2}}}$ and 133${\displaystyle {\tfrac {1}{2}}}$. A certain person went (with flowers) into a Jina temple which was (in height) three times the height of a man. At first he offered one (out of those flowers) in worship at the foot of the Jina and then (offered in worship) one-third of the remaining number (of flowers) to the first height-measure (of the Jina). Out of the remaining two-thirds (of the number of flowers, he conducted worship) in the same manner in relation to the second height-measure; and (then he did) the same thing in relation to the third height-measure also. The two-thirds which remained at last were also made into 3 equal parts (by him) ; and having worshipped the 24 tīrthaṅkaras (with those parts at the rate of eight tīrthaṅkaras for each part), he went away with no (flower) on hand. (Find out the number of flowers taken by him.)

Thus ends simple Kuṭṭīkāra in this chapter on mixed problems.

[*] Vișama-kuṭṭīkāra

Hereafter we shall expound complex kuṭṭīkāra

Tho rule relating to complex kuṭṭīkāra:-

134${\displaystyle {\tfrac {1}{2}}}$. The (given) divisor, (written down) in two (places), is to be multiplied (in each place) by an optionally chosen number; and the (known) quantity given (in the problem) for the purpose of being added is to be subtracted (from the product in one of these places); and the quantity given (in the problem) for the purpose of being subtracted is to be added (to the product noted down in the other place. The two quantities thus obtained are) to be divided by the known (coefficient) multiplier (of the unknown

*^ The words Vișama and Bhinna here used in relation to kuṭṭīkāra have obviously the same meaning and refer to the fractional character of the dividend quantities occurring in the problems contemplate by the rule.