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    Question

    A solution contains acid and water in the ratio 2:3. After

    adding 4 litres of acid and 3 litres of water, the ratio becomes 3:4. What was the initial quantity of the mixture?
    A 75 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 35 Correct Answer Incorrect Answer
    D 99 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let acid = 2y, water = 3y

    (2y + 4):(3y + 3) = 3:4

    ⇒ 4(2y + 4) = 3(3y + 3)

    ⇒ 8y + 16 = 9y + 9

    ⇒ y = 7

    Initial quantity = 2y + 3y = 5y = 5 × 7 = 35 litres

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