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} $