Quantitative Aptitude Ques 1519
Question: Price of a commodity has increased by 60%. By what per cent must a consumer reduce the consumption of the commodity, so as not to increase the expenditure?
Options:
A) 37
B) 37.5
C) 40.5
D) 60
Show Answer
Answer:
Correct Answer: B
Solution:
- (b) Let the reduction in consumption be $ x $ % Then, $ 60-x-\frac{60x}{100}=0 $
$ \Rightarrow $ $ 60-x-\frac{3x}{5}=0 $
$ \Rightarrow $ $ 300-5x-3x=0 $
$ \Rightarrow $ $ 8x=300 $
$ \therefore \text{ }\text{ }\text{ }\text{ }\text{ }x=\frac{300}{8}=37.5 $ %
Alternate Method
If the price of a commodity increases or decreases by a%. Then, the decrease or increase in consumption, so as not to increase or decrease the expenditure is equal to $ ( \frac{a}{100\pm a} )\times 100 $ %
Here, $ a=60 $
Then, deduction percentage= $ \frac{60}{160}\times 100=\frac{600}{16}=37.5 $ %
BETA
