| If the price of petrol be raised by 20%, then the percentage by which a car owner must reduce his consumption, so as not to increase his expenditure on petrol, is |
A) \[16\frac{1}{3}\]
B) \[16\frac{2}{3}\]
C) \[15\frac{2}{3}\]
D) \[15\frac{1}{3}\]
Correct Answer: B
Solution :
| Percentage decrease in the consumption |
| \[=\left[ \frac{a}{100+a}\times 100 \right]\]% |
| \[=\left[ \frac{20}{100+20}\times 100 \right]\] \[[\because a=20,\text{given }\!\!]\!\!\text{ }\] |
| \[=\frac{50}{3}=16\frac{2}{3}\]% |
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