| A bought an article and sold it at a gain of 5%. If he had bought it at 5% loss and sold it for Rs. 1 less, he would have made a profit of 10%. The cost price of the article was |
A) Rs. 100
B) Rs. 150
C) Rs. 200
D) Rs. 500
Correct Answer: C
Solution :
| Let original CP be x. |
| Then, \[SP=\frac{(100+5)}{100}\]of \[CP=\frac{21}{20}x\] |
| \[CP=\frac{100-5}{100}x=\frac{19}{20}x\] |
| \[SP=\frac{100+10}{100}\times \frac{19}{20}x=\frac{209x}{200}\] |
| \[\therefore \]\[\frac{21}{20}x-\frac{209x}{200}=1\]\[\Rightarrow \]\[x=Rs.\,\,200\] |
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