The difference between the compound interest (compounded annually) and the simple interest on a certain sum of money at 12\% per annum for 2 years is 72. What is the principal amount?

  1. A. 6,500
  2. B. 6,000
  3. C. 5,500
  4. D. 5,000

Correct Answer: D. 5,000

Explanation

The difference between CI and SI for 2 years is given by D = \frac{PR^2}{100^2}. Thus, 72 = \frac{P \times 12^2}{10000} \implies P = \frac{72 \times 10000}{144} = 5000.

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