Question : The ratio of expenditure to savings of a woman is 5 : 1. If her income and expenditure are increased by 10% and 20%, respectively, then find the percentage change in her savings.
Option 1: 55%
Option 2: 60%
Option 3: 50%
Option 4: 40%
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Correct Answer: 40%
Solution : Given: The ratio of expenditure to savings of a woman is 5 : 1. Let the initial expenditure and savings be 500 units and 100 units respectively. So, the initial income = 500 + 100 = 600 units After her income and expenditure are increased by 10% and 20%, respectively. The new income = 600 × $\frac{110}{100}$ = 660 units and the new expenditure = 500 × $\frac{120}{100}$ = 600 units So, the new savings = 660 – 600 = 60 units $\therefore$ The percentage change in her savings = $\frac{100-60}{100}$ × 100 = 40% Hence, the correct answer is 40%.
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