Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 264

CHAPTÉR III-FRACTIONS.
62
128. Tell me, friend, quickly the amount of the money remain. ing after subtracting from 6 x 4 of it, (the quantities) 9,7 and 9 as diminished in order by 4, and .
Examples on Bhāgāpavāba fractions containing dissociated
fractions. 129. Add }, }, }, } and } which are (respectively) diminished by , , }, } and of themselves in order; and (then) give out (the result).
130. (Given) of a pana diminished by b and 1 of itself (in consecution); ' (similarly) diminished by 1, and of itself; similarly) diminished by, and ļof itself; and another (quantity), viz., diminished by of itself-when these are (all) added, what is the result ?
131. If you have taken pains, O friend, in relation to Bhāgāpavāla fractions, give out the remainder after subtracting from 1} (the following quantities) : } diminished (in consecution) by , i and ß of itself; also } (similarly) diminished by , and 1 of itself ; and (also) } (similarly) diminished by 1 and of itself.
Here, the rule for finding out the (one) unknown element at the beginning (in each of a number of dissociated fractions, their sum being given):
132. The optionally split up parts of the (given) sum which are equal (in number) to the intended) component elements (thereof), when divided in order by the resulting quantities arrived at by taking one to be the dissociated quantity (in relation to these component elements), give rise to the value of the required) unknown (quantities in dissociation).
Examples in illustration thereof. 133. A certain fraction is diminished in consecution) by 1, and 1 of itself; another fraction is similarly) diminished by 1, 7 and } of itself; and (yet) another is (similarly) diminished by },
132. The working is similar to what has been explained under stanza No. 122.