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A man invested one third of his capital at 7%; one fourth at 8% and the remainder at 10%. If his annual income is Rs.5610, the capital is

A) Rs.54000
B) Rs.60000
C) Rs.66000
D) Rs.72000

Correct Answer:



C) Rs.66000

Description for Correct answer:

Let total capital be x. Then

\( \Large \left(\frac{x}{3} \times \frac{7}{100} \times 1\right) + \left(\frac{x}{4} \times \frac{8}{100} \times 1\right) + \left(\frac{5x}{12} \times \frac{10}{100} \times 1\right) = 5610 \)

= \( \Large \frac{7x}{300} + \frac{x}{50} + \frac{x}{24} = 5610 \)

= \( \Large 51x = \left(5610 \times 600\right) \)

=> \( \Large x = \left(\frac{5610 \times 600}{51}\right) \)

=> x=66000

Part of solved Simple and compound interest questions and answers : >> Aptitude >> Simple and compound interest

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Similar Questions

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