| 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 [SSC (CGL) Mains 2014] |
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 |
| \[=\frac{120}{100}\times 100=Rs.\,120\] |
| Increased expenditure =110% of 75 |
| \[=\frac{110}{100}\times 75=Rs.\,82.5\] |
| New savings \[=Rs.\,120-82.5=Rs.\,37.5\] |
| \[\therefore \] Percentage increase in savings |
| \[=\frac{37.5-25}{25}\times 100=50%\] |
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