Quantitative Aptitude Ques 1796

Question: 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?

Options:

A) $ 28\frac{1}{3} $ %

B) $ 30\frac{1}{3} $ %

C) $ 27 $ %

D) $ 33\frac{1}{3} $ %

E) None of these

Show Answer

Answer:

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} $ %.