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      Question

      On a certain sum, the simple interest for 2 years at 10%

      per annum is Rs 1000. Find the difference between the compound interest and simple interest on the same sum, at the same rate and for the same period.
      A Rs 40 Correct Answer Incorrect Answer
      B Rs 80 Correct Answer Incorrect Answer
      C Rs 50 Correct Answer Incorrect Answer
      D Rs 20 Correct Answer Incorrect Answer

      Solution

      Let principal = P. SI for 2 years = (P Γ— 10 Γ— 2)/100 = (P/5) Given P/5 = 1000 β‡’ P = 5000 Difference (CI βˆ’ SI) for 2 years at rate r% is: P Γ— (r/100)Β² Here r = 10% β‡’ r/100 = 0.10 Difference = 5000 Γ— (0.10)Β² = 5000 Γ— 0.01 = Rs 50.

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