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      Question

      Calculate the compound interest earned on Rs. 18,000 when

      it is invested at 10% per annum, compounded semi-annually for 1 year.
      A 1,845 Correct Answer Incorrect Answer
      B 1,570 Correct Answer Incorrect Answer
      C 1,915 Correct Answer Incorrect Answer
      D 1,065 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Effective rate = 10/2 = 5%

      Effective time = 2 terms, where each term is 6 months

      So, total amount after 1 year = 18000 × {1 + (5/100)}² = 18000 × (1.05)² =

      18000 × 1.1025 = Rs. 19,845

      Compound interest after 1 year = 19845 – 18000 = Rs. 1,845

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