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    A person saves 45% of his income. Next year, his income increases by 200%. He increases his savings by five times the previous year’s savings. By what
    Question

    A person saves 45% of his income. Next year, his income increases by 200%. He increases his savings by five times the previous year’s savings. By what percentage (correct to one place of decimal) has he increased/decreased his expenditure?

    A.

    Decreased, 63.4%

    B.

    Decreased, 36.4%

    C.

    Increased, 63.4%

    D.

    Increased, 36.4%

    Correct option is D

    Given:
    A person spends 45% of his income.
    Income is increased by 200% and he increases savings by 5times
    Formula Used:
    Saving = Income - Expenditure
    Percentage=Increase/Decrease in ExpenditureInitial Expenditure×100\text{Percentage} = \frac{\text{Increase/Decrease in Expenditure}}{\text{Initial Expenditure}} \times 100​​
    Solution:
    Let income be Rs 100.
    Saving = 45% of 100 = Rs. 45
    Expenditure = 100-45 = Rs. 55
    Income increased by 20%
    New income = 100 + 200% of 100 = Rs. 300
    Saving increases by 5times = 225
    New expenditure = 300-225 = Rs. 75
    Change in expenditure = 75 -55 = Rs. 20
    Percentage = 2055×100=36.37%\frac{20}{55} \times 100 = 36.37\%


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