| If the price of sugar is raised by 25%, find by how much per cent a householder must reduce his consumption of sugar, so as not to increase his expenditure? [SSC (CGL) 2011] |
A) 10%
B) 20%
C) 18%
D) 25%
Correct Answer: B
Solution :
| Let the 100 kg sugar price be Rs. 100, |
| If price of sugar raised by 25%. |
| New price of 100 kg sugar\[=\frac{125}{100}\times 100=\text{Rs}\text{. 125}\] |
| Price difference \[=125-100=25\] |
| He has to reduce his consumption by |
| \[\frac{25}{125}\times 100=20\]% |
| Alternate Method |
| Per cent decrease\[=\frac{a}{100+a}\times 100\]% |
| Here, \[a=25\] |
| \[=\frac{25}{100+25}\times 100=\frac{25}{125}\times 100=20\]% |
You need to login to perform this action.
You will be redirected in
3 sec
