Question

    If the price of a sugar bag is reduced by 40%, by what

    percentage should a family increase its consumption of sugar bags to ensure that their total expenditure on sugar remains unchanged?
    A 20.20% Correct Answer Incorrect Answer
    B 25.77% Correct Answer Incorrect Answer
    C 66.67% Correct Answer Incorrect Answer
    D 65.55% Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let initial price of sugar bag be Rs. 100 per kg and initial consumption be 1 kg
    So, initial total expenditure = Rs. 100
    Reduced price of sugar bag = {100 – (40% of 100)} = Rs. 60
    So, new consumption = {100/60} = (5/3) kg
    Therefore, percentage increased = [{(5/3) – 1}/1] × 100 = 66.67%

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