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    • Question

      Divesh invested Rs. ‘x’ in a scheme that provides

      simple interest at a rate of 12% per annum for a period of three years. Meanwhile, Ronit invested Rs. ‘x + 3000’ in a scheme that offers compound interest at a rate of 10% per annum for three years. The interest earned by Ronit exceeds the interest earned by Divesh by Rs. 761. Determine the value of ‘x’.
      A Rs. 6000 Correct Answer Incorrect Answer
      B Rs. 10000 Correct Answer Incorrect Answer
      C Rs. 8000 Correct Answer Incorrect Answer
      D Rs. 12000 Correct Answer Incorrect Answer
      E Rs. 9000 Correct Answer Incorrect Answer

      Solution

      Interest earned by Divesh = x × 0.12 × 3 = Rs. 0.36x

      Interest earned by Ronit = (x + 3000) {(1 + 0.10) 3  – 1} = (x + 300) × 0.331 = Rs. (0.331x + 993)

      According to question,

      0.331x + 993 – 0.36 = 761

      0.029x = 232

      x = 8000

      So, the value of ‘x’ is Rs. 8,000

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