Quantitative Aptitude Ques 2369

Question: While selling, a businessman allows 40% discount on the marked price and there is a loss of 30%. If it is sold at the marked price, then profit per cent will be

Options:

A) 10%

B) 20%

C) $ 16\frac{2}{3} $ %

D) $ 16\frac{1}{3} $ %

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let MP of an article be Rs. x.

$ \therefore $ SP of-an article $ =\frac{x\times (100-40)}{100}=Rs.\frac{3x}{5} $ CP of an article $ =\frac{3x}{5}\times \frac{100}{100-30}=\frac{3x}{5}\times \frac{100}{70}=Rs.\frac{6x}{7} $

$ \therefore $ Profit when sold at MP $ =( x-\frac{6x}{7} )=Rs.\frac{x}{7} $ Hence, profit per cent $ =,\frac{\frac{x}{7}}{\frac{6x}{7}}\times 100 $ % $ =\frac{50}{3} $ % $ ,=16\frac{2}{3} $ %