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    • Question

      A sum of Rs. 20000 earns compound interest at 9% per annum,

      compounded half yearly. Find the total interest at the end of one year.
      A Rs.1844.50 Correct Answer Incorrect Answer
      B Rs.2264 Correct Answer Incorrect Answer
      C Rs.1160.75 Correct Answer Incorrect Answer
      D Rs.3040 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Effective rate of interest = 9 × (6/12) = 4.5%

      Effective time or number of terms = 2 half years

      Or, amount received = 20000 × {1 + (4.5/100)}² = 20000 × (104.5/100) × (104.5/100) = Rs. 21844.50

      Therefore, interest received = 21844.50 - 20000 = Rs. 1844.50

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