Discussion
Anil invested a sum of money at a certain rate of simple interest for a period of five years. Had he invested the sum for a period of eight years for the same rate, the total intrest earned by him would have been sixty percent more than the earlier interest amount. Find the rate of interest p.a.
Answer: D
Simple interest is proportional to time, so over eight years instead of five the interest rises by a fixed factor no matter what the rate is.
\[ \frac{\text{SI}_{8}}{\text{SI}_{5}} = \frac{8}{5} = 1.6 \]
That is a 60% increase for every rate and every sum, so the stated condition carries no information about \( R \).
The rate therefore cannot be determined. A condition that holds identically is not a constraint.
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