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    The price (per litre) of petrol increases by 50%. By what percent should its consumption be reduced such that the expenditure on it increases by 32% o
    Question

    The price (per litre) of petrol increases by 50%. By what percent should its consumption be reduced such that the expenditure on it increases by 32% only?

    A.

    8%

    B.

    12%

    C.

    88%

    D.

    95%

    Correct option is B

    Given:

    Price per litre increases by 50%

    Expenditure increases by 32%

    Formula Used:

    Expenditure = Price × Consumption

    Solution:

    Let the original price = 100, original consumption = 100

    New price = 150

    New expenditure = 132

    New consumption = 132150\frac{132}{150} = 0.88 or 88%

    Reduction in consumption = 100% − 88% = 12% 

    Alternate Solution: 

    Reduction in consumption;

    150132150×100=18150×100=12%\frac{150-132}{150}\times 100 = \frac{18}{150} \times 100 = 12\%

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