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    If the price of rice increases by 20% and a person reduces its consumption by 20%, by what percentage will his total expenditure on rice decrease?
    Question

    If the price of rice increases by 20% and a person reduces its consumption by 20%, by what percentage will his total expenditure on rice decrease?

    A.

    4%

    B.

    5%

    C.

    3%

    D.

    2%

    Correct option is A

    Given:
    Price increase = 20%
    Consumption decrease = 20%
    Formula Used:
    Net percentage change = x + y +  xy100\frac{xy}{100}​​
    Solution:
    Substitute the given values into the formula:
    x = 20
    y = -20
    Calculate the net change:
    = 20 - 20 +  20×20100\frac{20 \times -20}{100}​​
    = 0 - 400100 \frac{400}{100}​ = -4
    The negative sign indicates a decrease.
    Therefore, the total expenditure decreases by 4%.
    Final Answer
    So the correct answer is (a)

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