CHAPTER VI-MIXED PROBLEMS. 95 by the interest connected with itself. (Then) this (quotient) has to be divided by the time connected with the capital lent out; (this last) quotient when multiplied by the interest (that has accrued) becomes the capital giving rise to that (interest). Examples in illustration thereof. 11. In lending out at the rate of 2 per cent (per mensem), a month and a half (is the time for which interest has accrued), and a certain person thus obtains 5 puranas as the interest. Tell me what the capital is in relation to that (interest). 12. The interest on 70 for 1 months is exactly 2. When the interest is 2 for 7 months what is the capital lent out? 13. In lending out at the rates of 3, 5 and 6 per cent (per mensem), the interest has so accrued in 6 months as to be 9, 18 and 25 (respectively); what are the capital amounts lent out? The rule for finding out the time (during which interest has accrued) 14. Take the capital amount (involved in the given rate of interest) as multiplied by the time (connected therewith); then cause this to be divided by its own (connected) rate-interest and by the capital lent out; then this (quotient) here is multiplied by the interest that has accrued on the capital lent out. Wise men say that the resulting (product) is the time (for which the interest has accrued). 11 Examples in illustration thereof. 15. O friend, mention, after calculating the time, by what time 28 will be obtained as interest on 80, lent out at the rate of 3 per cent (per mensen). 16. The capital amount lent out at the rate of 20 per 600 (per mensem) is 420. The interest also is 84. O friend, you tell me quickly the time (for which the interest has accrued). 14. Symbolically, 0x Tx Ixc =t.
पृष्ठम्:Ganita Sara Sangraha - Sanskrit.djvu/२९३
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