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      Question

      Rs. 7500 when invested at simple interest of r% p.a.

      amounts to Rs. 9000 in 24 months. If the same sum had been invested for 1 year at compound interest of (r + 20) % p.a. (compounded in every 4 months), then the amount received would be?
      A 9282.5 Correct Answer Incorrect Answer
      B 9382.5 Correct Answer Incorrect Answer
      C 9982.5 Correct Answer Incorrect Answer
      D 9682.5 Correct Answer Incorrect Answer

      Solution

      According to the question, 9000 – 7500 = (7500 Γ— r Γ— 24) Γ· (12 Γ— 100) Or, 1500 = 150 Γ— r Or, r = 10 When the sum is invested at compound interest, Effective rate of interest = (r + 20) Γ· 3 = (10 + 20) Γ· 3 = 10% Effective time period = 1 Γ— 3 = 3 units Amount received = Principal Γ— {1 + (r/100)}time period = 7500 Γ— {1 + (10/100)}3 = 7500 Γ— (1.1)3 = 9982.5

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