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A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at simple interest. What is the rate of interest?

A. 3%
B. 4%
C. 5%
D. 6%
Correct Answer: D. 6%

This problem involves calculating the rate of simple interest using the formula I = PRT/100.

  • First, calculate the simple interest (I): Amount (A) - Principal (P) = Rs. 15,500 - Rs. 12,500 = Rs. 3,000.
  • Next, use the formula I = PRT/100, where I = 3000, P = 12500, T = 4 years, and R is the rate of interest we need to find.
  • Substitute the values: 3000 = (12500 * R * 4) / 100.
  • Simplify: 3000 = (125 * R * 4).
  • Further simplify: 3000 = 500 * R.
  • Solve for R: R = 3000 / 500 = 6%.
  • Option D: 6% is the correct rate of interest.
  • Options A, B, and C are incorrect as they would yield different interest amounts when calculated using the simple interest formula.

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