Multiple choice

What will be the ratio of simple interest earned by certain amount at the same rate of interest for $6$ years and that for $4$ years?

  1. $\;1\,\colon\,3$
  2. $\;2\,\colon\,3$
  3. $\;1\,\colon\,4$
  4. $\;3\,\colon\,2$
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D Correct answer
Explanation

Simple interest is directly proportional to time when principal and rate are constant. The ratio of interest for 6 years to 4 years is 6 : 4, which simplifies to 3 : 2.

AI explanation

Because the principal and the rate of interest are constant, the simple interest earned is directly proportional to the time period. Therefore, the ratio of the simple interest for 6 years to the simple interest for 4 years is simply the ratio 6 to 4, which simplifies to 3:2.