Question: Ramesh buys 2 articles for Rs. 600. He sells one of them at a profit of 22% and other at a loss of 8% and makes no profit no loss at the end. What is the cost price of the article he sold at a loss?
Options:
A) Rs. 400
B) Rs. 420
C) Rs. 440
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
- Let CP of first article $ =x $
CP of second article $ =600-x $
SP of 1st article $ =\frac{122x}{100} $
SP of 2nd article $ =\frac{92}{100}(600-x) $
$ \therefore $ $ \frac{122x}{100}+\frac{92}{100}\times (600-x)=600 $
$ \Rightarrow $ $ 122x-92x=60000-92\times 600 $
$ \Rightarrow $ $ 30x=4800 $
$ \Rightarrow $ $ x=160 $
$ \therefore $ CP of the article sold at loss $ =600-160=Rs\text{. 440} $