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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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