Question

A sum of Rs. 1550 was lent partly at 5% and partly at 8% p.a. simple interest. The total interest received after 3 years was Rs. 300. The ratio of the money lent at 5% to the lent at 8%.

• A. 8 : 5
• B. 5 : 8
• C. 31 : 6
• D. 16 : 15

Answer 1

The correct option is D 16 : 15

Let the sum at 5% be Rs. x. Then,

$\frac{x\times 5\times 3}{100}+\frac{(1550-x)\times 8\times 3}{100}=300$

or x = 800

$\frac{Moneyat5\%}{Moneyat8\%}=\frac{800}{(1550-800)}$

$=\frac{800}{750}=\frac{16}{15}$