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      Question

      Find the rate of simple interest at which Rs. 10000

      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 30% at compound interest compounded annually for same time period.
      A 34.5% Correct Answer Incorrect Answer
      B 30.5% Correct Answer Incorrect Answer
      C 37.5% Correct Answer Incorrect Answer
      D 38.5% Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Compound interest earned in 2 years = 10000 Γ— [(1.30)^2 – 1] = 0.69 Γ— 10000 = Rs. 6900 Let the rate of simple interest is R% According to question, (10000 Γ— R Γ— 2)/100 = 6900 200 Γ— R = 6900 R = 34.5%

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