Question : The expenditure on the cost of living of a man and his family is 60% of his salary. He gets two increments of 30% and 60% of his salary. If his savings increase by 250% of his initial savings, then the new cost of living expenditure is what percentage (rounded off to the one digit after decimal) of the increased salary?
Option 1: 32.7%
Option 2: 43.6%
Option 3: 29.5%
Option 4: 36.6%
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Correct Answer: 32.7%
Solution : Let the salary of the man be 100a So, expenditure = 100a $\times$ 60% = 60a Savings = 100a – 60a = 40a Now, his new salary = 100a $\times \frac{130}{100} \times \frac{160}{100}$ = 208a His new savings = 40a + 40a $\times$ 250% = 140a Expenditure = 208a – 140a = 68a Required percentage = $\frac{68a}{208a} \times 100$ = 32.69 $\approx$ 32.7% Hence, the correct answer is 32.7%.
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