Question

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. 560, the capital is

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

Answer 1

Answer: (C)

Rs. 66000

Let total capital be $x$. Then,
$(\frac{x}{3}\times \frac{7}{100}\times 1)+(\frac{x}{4}\times \frac{8}{100}\times 1)+(\frac{5x}{12}\times \frac{10}{100}\times 1)=5610$
or $\frac{7x}{300}+\frac{x}{50}+\frac{x}{24}=5610$

On doing the LCM and solving, we get
or $51x=(5610\times 600)$
or $x=\left(\frac{5610\times 600}{51}\right)=66000$