| 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? |
A) Rs. 400
B) Rs. 420
C) Rs. 440
D) None of these
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 \[=600-160=\,\,\text{Rs}\text{. 440}\] |
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