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      Question

      Present age of P is 25% more than that of Q. Present age

      of R, who is 8 years older than Q, is 28 years. After how many years from now, ratio of ages of P to Q will become 7:6?
      A 10 Correct Answer Incorrect Answer
      B 7 Correct Answer Incorrect Answer
      C 2 Correct Answer Incorrect Answer
      D 5 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Present age of Q = 28 - 8 = 20 years
      Present age of P = 1.25 × 20 = 25 years
      Let the required time be T years.
      So, (25 + T) : (20 + T) = 7 : 6
      Or, 6 × (25 + T) = 7 × (20 + T)
      Or, 150 + 6T = 140 + 7T
      Or, T = 10

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