Question

A man invested one-third of his capital at 7%, one-fourth at 8 % and the rest at 10 % simple interest, respectively. If his annual income is Rs. 561, the capital is worth of :

• A. Rs. 5,400
• B. Rs. 6,000
• C. Rs. 6,600
• D. Rs. 7,200

Answer 1

The correct option is C Rs. 6,600

Let the capital be Rs.x
Then,
$(\frac{x}{3}\times \frac{7}{100}\times 1)+(\frac{x}{4}\times \frac{8}{100}\times 1)+(\frac{5x}{12}\times \frac{10}{100}\times 1)=561$
$\frac{7x}{300}+\frac{x}{50}+\frac{x}{24}=561$
$51x=561\times 600$
$x=6600$