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    A person saves 10% of his monthly income. If his monthly income increases by 20%, he saves 20% more than his previous savings. The percentage increase
    Question

    A person saves 10% of his monthly income. If his monthly income increases by 20%, he saves 20% more than his previous savings. The percentage increase in his expenditure is ____.

    A.

    16

    B.

    20

    C.

    24

    D.

    28

    Correct option is B

    Given:
    The person saves 10% of his monthly income initially.
    His income increases by 20%.
    The new savings are 20% more than the previous savings.
    Formula Used:
    Income = Saving + Expenditure
    Solution:
    Let person income is 100.
    Saving = 100×10100100 \times \frac{10}{100}​ = 10
    Expenditure =  100 - 10 = 90

    New income = 100 + 100×20100100 \times \frac{20}{100} = 100 + 20 = 120

    New saving = 10 + 10×2010010 \times \frac{20}{100}  = 10 + 2 = 12

    New expenditure = 120 - 12 = 108

    Increaese expenditure = 108 - 90 = 18

    Increaese expenditure% = 1890×100=20%\frac{18}{90}\times 100 = 20\%

    Thus, the correct answer is (b).

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