A borrowed a certain sum of money from B at the rate of 10% per annum under simple interest and lens one-fourth of the amount to C at 8% per annum under simple interest and the remaining amount to D at `15%` per annum under simple interest. If the end of 15 years. A made profit of Rs 5850 in the deal, then find the sum that A had lent to D.A. Rs 24,500B. Rs 12,000C. Rs 9000D. Rs 18,600

A borrowed a certain sum of money from B at the rate of 10% per annum

1.	A borrowed a certain sum of money from B at the rate of 10% per annum under simple interest and lens one-fourth of the amount to C at 8% per annum under simple interest and the remaining amount to D at `15%` per annum under simple interest. If the end of 15 years. A made profit of Rs 5850 in the deal, then find the sum that A had lent to D.A. Rs 24,500B. Rs 12,000C. Rs 9000D. Rs 18,600
Answer» Correct Answer - C i) Let A borrowed Rs `x` from B. Therefore, the money lent to C is Rs `x/4` and the money lent to D is Rs `(3x)/4`. ii) `[x/4 xx (8xx15)/100+(3x xx 15 xx 15)/100]-(x xx 10 xx 15)/100=5850`. iii) Solve the above equation and find `x`, and then `3/2`.

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