Quantitative Aptitude Ques 78

Question: What is the maximum percentage discount (approximately) that a merchant can offer on his marked price, so that he ends up selling at no profit or loss, if he initially marked his goods up by 40%?

Options:

A) 60%

B) 28.5%

C) 33.5%

D) No discount

Show Answer

Answer:

Correct Answer: B

Solution:

  • Let cost price be Rs. 100 and marked price $ =100+40=Rs.,140 $ Let required discount be x %. According to the question, $ 140\times ( \frac{100-x}{100} )=100 $

$ \Rightarrow $ $ 100-x=\frac{100\times 100}{140} $

$ \Rightarrow $ $ x=100-\frac{100\times 100}{140} $ $ =\frac{40\times 100}{140}=28.5% $ (approx).