Quantitative Aptitude Ques 1247

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} $