Question

A person has Rs 5000. He invests a part of it at 3% per annum and the remainder at 8% per annum simple interest. His total income in 3 years is Rs 750. Find the sum invested at different rates of interest.

• A. Rs 2000, Rs 1000
• B. Rs 3000, Rs 1000
• C. Rs 1000, Rs 4000
• D. Rs 3000, Rs 2000
• E. None of the above

Answer 1

The correct option is D Rs 3000, Rs 2000

Average rate of interest
$=\frac{100\times 750}{5000\times 3}=5$% per annum

Investment at 3% per annum
$=\frac{3}{3+2}\times 5000=Rs3000$
Investement at 8% per annum
$=\frac{2}{3+2}\times 5000=Rs2000$