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      Question

      Rs. 90Y when invested for 5 years at simple interest of

      12% p.a., yields an interest of Rs. 2700. If Rs. 110Y is invested for 3 years at compound interest (compounded annually) of 8% p.a., then find the amount received.
      A RS.5000 Correct Answer Incorrect Answer
      B Rs.4230 Correct Answer Incorrect Answer
      C Rs.6922 Correct Answer Incorrect Answer
      D Rs.3571 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, (90Y Γ— 5 Γ— 12) Γ· 100 = 54Y = 2700 So, Y = 2700 Γ· 54 = 50 And so, sum invested at compound interest = 110Y = 110 Γ— 50 = Rs. 5500 So, required amount received = 5500 Γ— {(1 + (8/100))}Β³ = 5500 Γ— 1.08Β³ = Rs. 6922.

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