Discount Ques 13

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, profit per cent will be

(1) 10%

(2) 20%

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

(4) $ 16\frac{1}{3} $ %

(5) None of these

(IBPS RRBs Officer CWE (Prelim Exam) 04.08.2019)

Show Answer

Answer: (3)

Solution: (3)

Let MP of an article = 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 percent $ =\frac{\frac{x}{7}}{\frac{6x}{7}}\times 100\% $ = $\frac{50}{3} $ % $ =16\frac{2}{3} $ %