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    Question

    Present ages of Arjun and Bhavesh are in the ratio of

    5:7 respectively. Present age of Chandan is 25% more than the age of Bhavesh six years ago. Present age of Chandan and Deepak are in the ratio of 9:11. Find the present age of Chandan, if the present average age of Arjun, Bhavesh, Chandan, and Deepak is one year more than the present age of Bhavesh.
    A 36 yrs Correct Answer Incorrect Answer
    B 52 yrs Correct Answer Incorrect Answer
    C 45 yrs Correct Answer Incorrect Answer
    D 20 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the present ages of Arjun and Bhavesh be ‘5x’ years and ‘7x’ years respectively.

    Age of Bhavesh six years ago = (7x – 6) years

    Present age of Chandan = 1.25 × (7x – 6) = (8.75x – 7.5) years

    Present age of Deepak = (11/9) × (8.75x – 7.5) years

    According to the question,

    5x + 7x + 8.75x – 7.5 + (11/9) × (8.75x – 7.5) = 4 × (7x + 1)

    45x + 63x + 78.75x – 67.5 + 96.25x – 82.5 = (28x + 4) × 9

    283x – 150 = 252x + 36

    31x = 186

    x = 6

    So, the present age of Chandan = 8.75 × 6 – 7.5 = 52.5 – 7.5 = 45 years

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