Percentage - Quantitative Aptitude (MCQ) questions for Q. 101

Q.  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?
- Published on 15 Jun 15

a. Rs 7500
b. Rs 6600
c. Rs 4500
d. Rs 3000

ANSWER: Rs 6600
 
Let initial amount that the man invests be A

Let x be the capital

=> Profit on 1st investment + Profit on 2nd investment + Profit on 3rd investment

=> S.I. = P X R X T

=> Remainder of capital = 1 - 1/3 - 1/4 = 5/12x (x being the capital)

=> a*1/3 *7/100 + 1/4 *a * 8/100 + 5x/12*a* 10/100 = 561

Therefore, a = 6600

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