Multiple choice

Rita invested a sum at 2.5% rate for 4 years. Sita invested the same amount at the same rate for 6 years. What is the ratio of the simple interest earned by Sita to that earned by Rita?

  1. 3 : 2

  2. 2 : 3

  3. 1 : 3

  4. 1 : 4

  5. NA
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A Correct answer
Explanation

Simple Interest = P * R * T / 100. Rita's SI = P * 2.5 * 4 / 100 = 10P/100. Sita's SI = P * 2.5 * 6 / 100 = 15P/100. Ratio Sita:Rita = 15:10 = 3:2.

AI explanation

The simple interest formula is I equals (P times R times T) divided by 100, and since both the principal and rate are identical, the interest earned is directly proportional to the time period. The ratio of the simple interest earned by Sita to that earned by Rita is simply the ratio of their investment periods, which is 6 divided by 4. This gives the ratio 3 : 2.

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