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} $ %