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    Question

    Milk worth Rs. 20/litre and Rs. 32/litre are mixed with a

    third variety in the ratio 1:1:2 respectively. If the final mixture is worth Rs. 28/litre, then the price of the third variety of milk is:
    A Rs. 26/litre Correct Answer Incorrect Answer
    B Rs. 28/litre Correct Answer Incorrect Answer
    C Rs. 30/litre Correct Answer Incorrect Answer
    D Rs. 32/litre Correct Answer Incorrect Answer

    Solution

    Let the quantity of three varieties of milk in the new mixture be ‘x’ litre, ‘x’ litre, and ‘2x’ litres respectively
    Let the price of the third variety of milk be Rs. ‘y’/litre
    ATQ:
    (20 × x) + (32 × x) + (y × 2x) = 28 × (x + x + 2x)
    Or, 20x + 32x + 2xy = 28 × 4x
    Or, 52x + 2xy = 112x
    Or, 2xy = 60x
    Or, y = 30
    So, the price of the third variety of milk = Rs. 30/litre

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