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    Question

    Wheat worth Rs. 25/kg and Rs. 40/kg are mixed with a third

    variety in the ratio 1:2:1 respectively. If the final mixture is worth Rs. 35/kg, then the price of the third variety of wheat is:
    A Rs. 32/kg Correct Answer Incorrect Answer
    B Rs. 36/kg Correct Answer Incorrect Answer
    C Rs. 38/kg Correct Answer Incorrect Answer
    D Rs. 35/kg Correct Answer Incorrect Answer

    Solution

    Let the quantity of three varieties of wheat in the new mixture be ‘x’ kg, ‘2x’ kg, and ‘x’ kg respectively
    Let the price of the third variety of wheat be Rs. ‘y’/kg
    ATQ:
    (25 × x) + (40 × 2x) + (y × x) = 35 × (x + 2x + x)
    Or, 25x + 80x + xy = 35 × 4x
    Or, 105x + xy = 140x
    Or, xy = 35x
    Or, y = 35
    So, the price of the third variety of wheat = Rs. 35/kg

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