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    The ratio of prices of Coffee and Tea is 3 : 4 and the ratio of their quantities consumed by a family is 4 : 7. Find the ratio of expenditures on Coff
    Question

    The ratio of prices of Coffee and Tea is 3 : 4 and the ratio of their quantities consumed by a family is 4 : 7. Find the ratio of expenditures on Coffee and Tea.

    A.

    3 : 7

    B.

    7 : 3

    C.

    7 : 4

    D.

    4 : 7

    Correct option is A

    Given:
    Ratio of prices of Coffee to Tea = 3 : 4.
    Ratio of quantities of Coffee to Tea consumed = 4 : 7.
    Formula Used:
    The expenditure on an item is given by:
    Expenditure = Price per unit × Quantity consumed
    Solution:
    Expenditure ratio = (Price ratio of Coffee : Tea)×(Quantity ratio of Coffee : Tea)
    Expenditure ratio = (3 : 4) × (4 : 7)
    Expenditure ratio = (3 × 4) : (4 × 7) = 12 : 28 = 3 : 7
    Thus, The ratio of expenditures on Coffee to Tea is 3 : 7.

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