A person has Rs. 5000. He invests a part of it at 3% per

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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.

1. Rs. 2000 and Rs. 3000
2. Rs. 2500 and Rs. 2500
3. Rs. 3000 and Rs. 2000
4. Rs. 2750 and Rs. 2250

Correct Option: C

Average rate of interest = (100 * 750) / (5000 * 3) = 5% per annual
Investment at 3% per annual = 3 / (3 + 2) × 5000 = Rs. 3000 Investment at 8% per annual = 2 / (3 + 2) × 5000 = Rs. 2000