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      Question

      Find the rate of simple interest at which Rs. 5500

      should be invested for 2 years so that the interest earned will be same as the interest received when the same amount is invested at 10% at compound interest compounded annually for same time period.
      A 10.5% Correct Answer Incorrect Answer
      B 11.5% Correct Answer Incorrect Answer
      C 12.5% Correct Answer Incorrect Answer
      D 13.5% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Compound interest earned in 2 years = 5500 Γ— [(1.10)^2 – 1] = 0.21 Γ— 5500 = Rs. 1155 Let the rate of simple interest is R% According to question, (5500 Γ— R Γ— 2)/100 = 1155 110 Γ— R = 1155 R = 10.5%

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