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      Question

      Rs. 6200 was partly invested in scheme A at 25% per

      annum compound interest (compounded annually) for 2 years and partly in scheme B at 25% per annum simple interest for 4 years. Both the schemes earn equal interests. How much was invested in scheme A?
      A Rs. 3968 Correct Answer Incorrect Answer
      B Rs. 3678 Correct Answer Incorrect Answer
      C Rs. 2864 Correct Answer Incorrect Answer
      D Rs. 2972 Correct Answer Incorrect Answer
      E Rs. 3246 Correct Answer Incorrect Answer

      Solution

      Let amount invested in Scheme A be Rs. x. Then, amount invested in Scheme B = Rs. (6200 – x) According to question, x × [(1.25)² – 1] = (6200 – x) × 0.25 × 4 x × 0.5625 = (6200 – x) 0.5625x = 6200 – x 1.5625x = 6200 x = Rs. 3968

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