Multiple choice

Yogesh invested Rs. 40,000 in two parts. On the one part he gets interest at the rate of 10% while on the other he gets 6%. If his income on the total investment is 7.5%, the two parts are in the ratio-

  1. 3:5

  2. 2:7

  3. 5:3

  4. 7:2
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A Correct answer
AI explanation

Using the method of alligation, the ratio of the two parts is inversely proportional to the differences between their individual interest rates and the overall interest rate. The differences are 10% minus 7.5% which equals 2.5%, and 7.5% minus 6% which equals 1.5%. The ratio of the first part to the second part is therefore 1.5% to 2.5%, which simplifies to 3:5.

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