| A shopkeeper offered a discount of 15% on the labelled price. By selling an article for Rs. 340 after giving discount earned a profit of \[13\frac{1}{3}\]%. What would have been the present profit earned if no discount was offered? |
A) \[28\frac{1}{3}\]%
B) \[30\frac{1}{3}\]%
C) \[27\]%
D) \[33\frac{1}{3}\]%
E) None of these
Correct Answer: D
Solution :
| Let the marked price be Rs. x. |
| Then, 85% of \[x=340\] |
| \[\Rightarrow \]\[\frac{85x}{100}=340\]\[\Rightarrow \]\[=\frac{340\times 100}{85}=400\] |
| \[CP=\frac{100}{(100+gain)}\times SP=\frac{100}{100+\frac{40}{3}}\times 340\] |
| \[=\frac{300}{340}\times 340=Rs.\,\,300\] |
| \[\therefore \]Required gain per cent \[=\frac{400-300}{300}\times 100\] |
| \[=\frac{100}{3}=33\frac{1}{3}\]%. |
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