Question 57

Sonu saves 15% of her income. If her income increases by 20% and she still saves the same amount as before, then what is the percentage increase in her expenditure? (correct to one decimal place)

Solution

Let the initially income of Sonu be Rs.100.

saving = 15%

Expenditure = 100 - 15 = 85%

Saving = 100 -85 = Rs.15

Expenditure = 85% of 100 = Rs.85

Income after increment = 100 $$\times \frac{120}{100}$$ = Rs.120

Saving = 15

Expenditure = 120 - 15 = 105

Increment in expenditure = 105 - 85 = Rs.20

Percentage Increment in expenditure = $$\frac{20}{85} \times$$ 100 = 23.52%

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