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    A man spends 75% of his income. His income is increased by 20% and he thus also increased his expenditure by 10%. His savings increased by:
    Question

    A man spends 75% of his income. His income is increased by 20% and he thus also increased his expenditure by 10%. His savings increased by:

    A.

    25%

    B.

    34 12\frac{1}{2}%​

    C.

    50%

    D.

    10%

    Correct option is C

    Given:

    The man spends 75% of his income initially.
    His income is increased by 20%, and his expenditure is increased by 10%..

    Let income of a man be 100 Rs. 

    Solution:

    Expenditure = 75 Rs.

    Saving = 25 Rs.

    New income = 100×120100=120100 × \frac{120}{100 }= 120​ Rs.

    New expenditure = 75×11010075 × \frac{110}{100 }​= 82.5 Rs.

    New saving = 120 - 82.5 = 37.5 Rs.

    Percent increase in saving = [(37.525)25]×100[\frac{(37.5 - 25)}{25}] × 100​​

    => 12.5 × 4 = 50%

    ∴ The percentage increase in his savings is 50%.

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