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    In what ratio must a grocer mix two varieties of rice costing Rs. 165 and Rs. 285 per kg, respectively, to get a mixture of rice worth Rs. 195 per kg?
    Question

    In what ratio must a grocer mix two varieties of rice costing Rs. 165 and Rs. 285 per kg, respectively, to get a mixture of rice worth Rs. 195 per kg?

    A.

    7 : 4

    B.

    3 : 1

    C.

    5 : 2

    D.

    9 : 5

    Correct option is B

    Given:

    Cost of first variety of rice = ₹165/kg

    Cost of second variety of rice = ₹285/kg

    Desired price of mixture = ₹195/kg

    Formula Used:

    Use the rule of alligation:

    Ratio = (CP2 - Mean Price) : (Mean Price - CP1)

    Solution:

    Ratio = (285 - 195) : (195 - 165)

    = 90 : 30 = 3 : 1
    The grocer must mix the two varieties of rice in the ratio 3 : 1

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