A man invests 1/3rd of his income at 7%, 1/4th at 8% and the remainder of his income at 10%. If the annual profit is Rs 561. What was the initial capital? Choose the correct choice from the following answers.
A) Rs 66098  B) Rs 6608  C) Rs 6628  D) Rs 6600  E) Rs 6691
Explanation:   Let initial amount that the man invests be A   Let x be the capital   =&gt; Profit on 1st investment + Profit on 2nd investment + Profit on 3rd investment   =&gt; S.I. = P X R X T   =&gt; Remainder of capital = 1 - 1/3 - 1/4 = 5/12x (x being the capital)   =&gt; a*1/3 *7/100 + 1/4 *a * 8/100 + 5x/12*a* 10/100 = 561   Therefore, a = 6600   ANSWER: Rs 6600
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A man invests 1/3rd of his income at 7%, 1/4th at 8% and the remainder of his income at 10%. If the annual profit is Rs 561. What was the initial capital?