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      Question

      An amount becomes five times of itself in 40 years at

      simple interest. Find the value of (3R + 10), where R is the rate of interest per annum.
      A 70 Correct Answer Incorrect Answer
      B 30 Correct Answer Incorrect Answer
      C 40 Correct Answer Incorrect Answer
      D 50 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the amount invested be Rs. 'p'.
      Interest earned = 5p − p = Rs. 4p
      Simple interest = Principal × Rate × Time ÷ 100
      So, 4p = p × R × 40 ÷ 100
      Or, R = (4 × 100) ÷ 40 = 10
      Required value = 3 × 10 + 10 = 30 + 10 = 40

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