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    Question

    Two years later, the ratio of Puneet's and Qureshi's

    ages will be 2:3. Currently, Puneet's age is 20% less than Rohit's. Five years ago, Rohit's age was 25% less than Qureshi's. Determine how many years older Qureshi is than Puneet.
    A 2 yrs Correct Answer Incorrect Answer
    B 5 yrs Correct Answer Incorrect Answer
    C 15 yrs Correct Answer Incorrect Answer
    D 9 yrs Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let the present age of тАШRahulтАЩ = тАШ5rтАЩ years Then, present age of тАШPuneetтАЩ = 5r ├Ч 0.80 = тАШ4rтАЩ years 2 years hence from now, age of тАШPuneetтАЩ = (4r + 2) years 2 years hence from now, age of тАШQureshiтАЩ = (4r + 2) ├Ч (3/2) = (6r + 3) years 5 years ago from now, age of тАШQureshiтАЩ = 6r + 3 тАУ 2 тАУ 5 = (6r тАУ 4) years 5 years ago from now, age of тАШRahulтАЩ = (5y тАУ 5) years According to the question, (5r тАУ 5) = (6r тАУ 4) ├Ч 0.75 Or, (5r тАУ 5) = (4.5r тАУ 3) Or, 0.5r тАУ 2 = 0 So, r = 2 ├╖ 0.5 = 4 So, difference between the ages of тАШPuneetтАЩ and тАШQureshiтАЩ = (6r + 3) тАУ (4r + 2) = 2 ├Ч 4 + 1 = 9 years

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