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 $