Quantitative Aptitude Ques 1744

Question: Pankaj bought a bag with 20% discount on the original price. He got a profit of Rs. 50 by selling it at a price 150% of the price at which he bought. The original price of the bag is

Options:

A) 125

B) 150

C) 175

D) 200

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let the original price be Rs. x. $ CP=\frac{80}{100}x=\frac{4x}{5} $ CP + Profit = SP

$ \Rightarrow $ $ \frac{4x}{5}+50=\frac{150}{100}\times \frac{4x}{5} $

$ \Rightarrow $ $ \frac{4x}{5}+50=\frac{3}{2}\times \frac{4x}{5} $

$ \Rightarrow $ $ \frac{4x}{5}+50=\frac{6x}{5} $
$ \Rightarrow $ $ 50=\frac{6x}{5}-\frac{4x}{5} $

$ \Rightarrow $ $ \frac{2x}{5}=50 $
$ \Rightarrow $ $ x=\frac{50\times 5}{2}=Rs\text{. 125} $