| A shopkeeper labelled the price of his articles, so as to earn a profit of 30% on the cost price. Then, he sold the articles by offering a discount of 10% on the labelled price. What is the actual per cent profit earned in the deal? [SBI (PO) 2011] |
A) 18
B) 15
C) 20
D) Cannot be determined
E) None of the above
Correct Answer: E
Solution :
| Let the cost price of the article be Rs. x |
| \[\therefore \]Labelled or Marked price \[=\text{Rs}\text{.}\,\,x\left( \frac{100+30}{100} \right)=\text{Rs}\text{. }\frac{13x}{10}\] |
| Now, from the question, |
| Selling price of the article \[=\text{Rs}\text{. }\frac{13x}{10}\left( \frac{100-10}{100} \right)\] |
| \[\text{=Rs}\text{. }\frac{13x}{10}\times \frac{9}{10}=\text{Rs}\text{. }\frac{117x}{100}\] |
| \[\therefore \]Required per cent profit earned |
| \[=\frac{\frac{117x}{100}-\frac{x}{1}}{x}\times 100\] |
| \[=\frac{17x}{100x}\times 100=17%\] |
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