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    Question

    A container has 60 litres of a mixture of milk and water

    in the ratio 7 : 3. Some quantity of water is added to this mixture so that the new ratio of milk to water becomes 3 : 2. How many litres of water were added?
    A 12 litres Correct Answer Incorrect Answer
    B 10 litres Correct Answer Incorrect Answer
    C 18 litres Correct Answer Incorrect Answer
    D 21 litres Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Initial mixture = 60 L Milk : Water = 7 : 3 Amount of milk = (7/10) Γ— 60 = 42 L Amount of water = (3/10) Γ— 60 = 18 L Let x litres of water be added. New milk = 42 L (unchanged) New water = 18 + x New ratio milk : water = 3 : 2 So, 42 : (18 + x) = 3 : 2 β‡’ 42 / (18 + x) = 3 / 2 Cross-multiply: 2 Γ— 42 = 3(18 + x) 84 = 54 + 3x 3x = 30 x = 10 So, water added = 10 litres.

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