| A man spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. His savings are increased by |
A) \[10\]%
B) \[25\]%
C) \[37\frac{1}{2}\]%
D) \[50\]%
Correct Answer: D
Solution :
| Let the income of man initially be Rs. 100. |
| Expenditure = Rs. 75 |
| \[\therefore \]Savings = Rs. 25 |
| Now, increased income = 120% of 100 |
| \[=\frac{120}{100}\times 100=\text{Rs}\text{. 120}\] |
| Increased expenditure = 110% of 75 |
| \[=\frac{110}{100}\times 75=\text{Rs}\text{. 82}\text{.5}\] |
| New savings \[=\text{Rs}\text{. 120}-\text{82}\text{.5= Rs}\text{.}\,\,\text{37}\text{.5}\] |
| \[\therefore \]Percentage increase in savings |
| \[=\frac{37.5-25}{25}\times 100=50\]% |
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