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      Question

      A certain amount of money, when invested at a simple interest rate of 'r%' per annum, grows to 6 times its original value in 24 years. Determine the value of 'r'.

      A 20 Correct Answer Incorrect Answer
      B 40 Correct Answer Incorrect Answer
      C 45 Correct Answer Incorrect Answer
      D 15 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      According to the given conditions, Let the initial investment be Rs. p. The interest earned in 24 years = (6p – p) = Rs. 5p. Therefore, using the formula for simple interest = (pΓ—rΓ—24)/100=5p Solving for 'r': r = (5pΓ—100)/(pΓ—24) = 20 Hence, the value of 'r' = 20.

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