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      Question

      A certain amount becomes six times of itself in 20 years

      at a certain rate of simple interest p.a. In what time will it become twelve times of itself at the same rate of simple interest?
      A 40 years Correct Answer Incorrect Answer
      B 42 years Correct Answer Incorrect Answer
      C 44 years Correct Answer Incorrect Answer
      D 46 years Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      Let principal amount be Rs. ‘P’ And, the rate of interest = ‘R%’ p.a. ATQ; 6P = P + {(P × R × 20)/100} Or, 5P = (P × R × 20)/100 Or, R = 25 Let the required time be ‘T’ years 12P = P + {(P × 25 × T)/100} Or, 11P = (P × 25 × T)/100 Or, T = 44 So, required time = 44 years

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