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    Question

    The current ages of Anita and Sunita are in a ratio of

    3:4. If, four years from now, Sunita's age will be 20% greater than her current age, the question is to determine how many years younger Anita is than Sunita.
    A 6 yrs Correct Answer Incorrect Answer
    B 5 yrs Correct Answer Incorrect Answer
    C 1 yrs Correct Answer Incorrect Answer
    D 2 yrs Correct Answer Incorrect Answer
    E none of these Correct Answer Incorrect Answer

    Solution

    We can say that let the present ages of ‘Anita’ and ‘Sunita’ be ‘3y’ years and ‘4y’ years respectively. ATQ; 4y + 4 = 4y × 1.2 Or, 4y + 4 = 4.8y Or, 4 = 0.8y So, y = 5 So, present age of ‘Sunita’ = 4 × 5 = 20 years Present age of ‘Anita’ = 3 × 5 = 15 years Therefore, ‘Anita’ is (20 – 15) i.e. 5 years younger than ‘Sunita’

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