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    In a 60-liter mixture of milk and water, the water content is 40%. How many litres of water should be added to increase the water content to 60%?
    Question

    In a 60-liter mixture of milk and water, the water content is 40%. How many litres of water should be added to increase the water content to 60%?

    A.

    25 litres

    B.

    30 litres

    C.

    15 litres

    D.

    20 litres

    Correct option is B

    Given:

    The total mixture is 60 liters.

    The water content is 40%, so the amount of water in the mixture is 40% of 60 liters, which is:

    Water = 0.40×600.40 \times 60​ = 24 liters

    Solution:

    Let n litre of water is added:

    Water = 40%, then Milk = 60%

    Milk = 60×6010060\times \frac{60}{100} = (60+n)×40100(60 + n) \times \frac{40}{100}​​

    => 36 = (60+n)×40100(60 + n) \times \frac{40}{100}

    ​​=> 36×5236 \times \frac{5}{2} = (60 + n)

    => n = 90 - 60 = 30 litres

    The amount of water that should be added is 30 liters.

    Thus, the correct option is (b) 30 litres


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