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      Question

      Five years from now, the age of Arjun will be 28 years.

      Six years from now, the ratio of ages of Arjun and Varun will be 4:5 respectively. After how many years from now will Arjun’s age become 80% of Varun’s age?
      A 2 Correct Answer Incorrect Answer
      B 5 Correct Answer Incorrect Answer
      C 6 Correct Answer Incorrect Answer
      D 4 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Present age of Arjun = 28 - 5 = 23 years Age of Varun six years hence = (5/4) × (23 + 6) = (5/4) × 29 = 36.25 years Present age of Varun = 36.25 - 6 = 30.25 years Let the required time be 'T' years. So, (23 + T) = 0.8 × (30.25 + T) Or, 23 + T = 24.2 + 0.8T Or, 0.2T = 1.2 Or, T = 6

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