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 $ %