Quantitative Aptitude Ques 1139

Question: In the new budget, the price of kerosene oil rose by 25%. By how much per cent must a person reduce his consumption of kerosene oil, so that his expenditure on it does not increase?

Options:

A) 20%

B) 25%

C) 50%

D) 40%

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let price of kerosene oil be Rs. x per litre and consumption be y L Then, total expenditure on oil = Rs. x y Now, new price $ =x+\frac{25}{100}\times x $ $ =x+\frac{x}{4}=\frac{5x}{4} $ According to the question, $ xy=\frac{5x}{4}( y-\frac{ay}{100} ) $

$ \Rightarrow $ $ xy=\frac{5x}{4}y( 1-\frac{a}{100} ) $

$ \Rightarrow $ $ \frac{4}{5}=1-\frac{a}{100} $
$ \Rightarrow $ $ \frac{a}{100}=\frac{1}{5} $

$ \Rightarrow $ $ a=20 $ % Alternate Method Reduction in consumption $ =( \frac{a}{100+a}\times 100 ) $ % $ =,( \frac{25}{125},100 ) $ %= 20%