Question: A shopkeeper sells a pair of sunglasses at a profit of 25%. If he had bought it at 25% less and sold it for Rs. 10 less than he would have gained 40%. Determine the cost price of the pair of sunglasses
Options:
A) Rs. 50
B) Rs. 25
C) Rs. 75
D) Rs. 60
Show Answer
Answer:
Correct Answer: A
Solution:
- Let the CP of pair of sunglasses be Rs. $ x, $ then
$ SP=x+25 $ % of $ x=\frac{5}{4}x $
$ x-25 $ % of $ x+40 $ % of $ (x-25 $ % $ ofx)=\frac{5}{4}x-10 $
$ \Rightarrow $ $ \frac{3x}{4}+\frac{2}{5}\times \frac{3x}{4}=\frac{5}{4}x-10 $
$ \Rightarrow $ $ 15x+6x-25x=-200 $
$ \therefore $ $ x=50 $
CP of pair of sunglasses = Rs. 50