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    Question

    A 120-litre mixture contains 25% alcohol. How many

    litres of alcohol should be added so that alcohol becomes 40% of the final mixture?
    A 45 Correct Answer Incorrect Answer
    B 30 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D 15 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Initial quantity of alcohol = 0.25 × 120 = 30 litres Let the required alcohol to add = y litres So, (30 + y) ÷ (120 + y) = 40/100 = 2/5 ⇒ 5(30 + y) = 2(120 + y) ⇒ 150 + 5y = 240 + 2y ⇒ 3y = 90 ⇒ y = 30

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