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

  1. A. 2.5
  2. B. 3
  3. C. 3.5
  4. 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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