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      Question

      The difference between the interest payable on a sum

      invested for three years at 20% compound interest per annum compounded annually and 20% simple interest per annum for the same period is β‚Ή448. What is the value of the sum invested?
      A β‚Ή3,750 Correct Answer Incorrect Answer
      B β‚Ή4,000 Correct Answer Incorrect Answer
      C β‚Ή3,500 Correct Answer Incorrect Answer
      D β‚Ή3,000 Correct Answer Incorrect Answer

      Solution

      Let the sum invested be Rs. P. According to the question, (P (1 + 20/100)3 - P} - {(P x 20 x 3) / 100} = 448 0.728P- 0.6P = 448 P=448 / 0.128 P = 3500 The value of the sum invested is Rs. 3500.

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