Quantitative Aptitude Ques 1266

Question: The total cost price of two watches is Rs. 900. One is sold at a profit of 20% and the other at a loss of 25%. There is no loss or gain in the whole transaction. The cost price of the watch on which the shopkeeper loses is

Options:

A) Rs. 400

B) Rs. 500

C) Rs. 450

D) Rs. 540

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let their CP be $ Rs\text{. }x $ and $ Rs\text{. (900}-x), $ respectively. Then, $ \frac{120}{100}\times x+\frac{75}{100}(900-x)=900 $ $ \frac{45x}{100}=225 $
    $ \Rightarrow $ $ x=( \frac{225\times 100}{45} )=500 $

$ \therefore $ Required $ CP=900-x $
$ \Rightarrow $ $ 900-500=400 $