Question : A saves 18% of his income. If his income increases by 41% and still saves the same amount. Find the percentage increase in his expenditure.
Option 1: 60%
Option 2: 35%
Option 3: 50%
Option 4: 40%
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Correct Answer: 50%
Solution : Given, A saves 18% of his income. His income increases by 41%. Let the initial income be 100. Initial savings = 18 and initial expenditure = 100 – 18 = 82 New income = 100 + 41% of 100 = 141 New savings = 18 (same amount), new expenditure = 141 – 18 = 123 So, increase in expenditure = new expenditure – initial expenditure = 123 – 82 = 41 $\therefore$ Percentage increase in expenditure = $\frac{\text{Increase in expenditure}}{\text{initial expenditure}} × 100$ = $\frac{41}{82} × 100$ = 50% Hence, the correct answer is 50%.
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