The simple interest on a certain sum is one-fourth of the sum. If the number of years and the rate of annual interest are numerically equal, then the number of years is
- A. 2.5
- B. 3
- C. 3.5
- D. 5 ✓
Correct Answer: D. 5
Explanation
Let SI = \frac{P}{4} and rate R equal time T. Formula: SI = \frac{P \times R \times T}{100} \Rightarrow \frac{P}{4} = \frac{P \times T^2}{100}. Simplifying, T^2 = 25 \Rightarrow T = 5 years.
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