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What will be the ratio of simple interest earned by certain amount at the same rate of interest for 6 years and that for 9 years?

  • A.1:3
  • B.1:4
  • C.2:3
  • D.Data inadequate

Answer: C

\[ \text{SI} = \frac{P \times R \times T}{100} \]

With the sum and the rate the same, simple interest is proportional to time.

\[ \frac{\text{SI}_{6}}{\text{SI}_{9}} = \frac{6}{9} = \frac{2}{3} \]

So the ratio is \( 2 : 3 \). Neither the sum nor the rate is needed - both cancel - so "data inadequate" is a trap.

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