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      Question

      Rs. 4000 when invested at 6% p.a. for (x + 4) years

      gives a simple interest of Rs. 4800. Find the amount received when the same sum is invested at 5% p.a. simple interest for 2.5x years.
      A Rs.7900 Correct Answer Incorrect Answer
      B Rs.8576 Correct Answer Incorrect Answer
      C Rs.7520 Correct Answer Incorrect Answer
      D Rs.8320 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      According to the question,
      (4000 × 6 × (x + 4)) ÷ 100 = 4800
      Or, 240(x + 4) = 4800
      Or, x + 4 = 20
      Or, x = 16
      Therefore, 2.5x = 40 years
      Required amount received = {(4000 × 5 × 40) ÷ 100} + 4000  = (8000) + 4000 = Rs. 12,000

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