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    Question

    If the price of a fruit basket is reduced by 35%, by what

    percentage should a family increase its consumption of fruits to ensure that their total expenditure on fruits remains unchanged?
    A 20.20% Correct Answer Incorrect Answer
    B 33.33% Correct Answer Incorrect Answer
    C 66.67% Correct Answer Incorrect Answer
    D 53.85% Correct Answer Incorrect Answer

    Solution

    ATQ;
    Let initial price of fruit basket be Rs. 100 per kg and initial consumption be 1 kg
    So, initial total expenditure = Rs. 100
    Reduced price of fruit basket = {100 – (35% of 100)} = Rs. 65
    So, new consumption = {100/65} = (20/13) kg
    Therefore, percentage increased = [{(20/13) – 1}/1] × 100 = 53.85%

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