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    Question

    Oil worth Rs. 50/litre and Rs. 60/litre are mixed with a

    third variety in the ratio 4:3:1 respectively. If the final mixture is worth Rs. 54/litre, then the price of the third variety of oil is:
    A Rs. 51/litre Correct Answer Incorrect Answer
    B Rs. 52/litre Correct Answer Incorrect Answer
    C Rs. 53/litre Correct Answer Incorrect Answer
    D Rs. 54/litre Correct Answer Incorrect Answer

    Solution

    Let the quantity of three varieties of oil in the new mixture be ‘4x’ litres, ‘3x’ litres, and ‘x’ litre respectively
    Let the price of the third variety of oil be Rs. ‘y’/litre
    ATQ:
    (50 × 4x) + (60 × 3x) + (y × x) = 54 × (4x + 3x + x)
    Or, 200x + 180x + xy = 54 × 8x
    Or, 380x + xy = 432x
    Or, xy = 52x
    Or, y = 52
    So, the price of the third variety of oil = Rs. 52/litre

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