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    A mixture contains pure ghee and vanaspati in the ratio 7:2. If it contains 20 litres more ghee than vanaspati, the quantity of pure ghee in the mixtu
    Question

    A mixture contains pure ghee and vanaspati in the ratio 7:2. If it contains 20 litres more ghee than vanaspati, the quantity of pure ghee in the mixture is:

    A.

    12 litres

    B.

    14 litres

    C.

    28 litres

    D.

    24 litres

    Correct option is C

    Given:
    Ratio of ghee to vanaspati = 7 : 2
    Difference in quantity of ghee and vanaspati = 20 litres

    Solution:
    Let the common multiplying factor be x.

    If the ratio is 7:2, let the common multiple be x.
    Then, quantity of ghee = 7x
    Quantity of vanaspati = 2x
    Difference = 7x−2x=5x
    Given, difference = 20 litres
    So,
    5x=20
    =>x=205=4\Rightarrow x = \frac{20}{5} = 4​​
    Quantity of pure ghee = 7x = 7×4=28 litres

    Final Answer:
    Option C) 28 litres

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