Profit And Loss Ques 31
Question.
When a person sold an article, his profit is $60 \%$ of the selling price. If the cost price is increased by $75 \%$ and the selling price remains the same, then find decrement in the profit is what per cent of the selling price of the article?
(1) $25 \%$
(2) $30 \%$
(3) $40 \%$
(4) $27.5 \%$
(5) None of these
IBPS RRBs Officer CWE (Prelim Exam) 04.08.2019
Show Answer
Correct Answer: (2)
Solution: (2)
Let the C.P. of article be Rs. 100.
If its S.P. be Rs. $x$, then
$x-100=\frac{60 x}{100}=\frac{3 x}{5}$
$\Rightarrow x-\frac{3 x}{5}=100$
$\Rightarrow \frac{2 x}{5}=100$
$\Rightarrow x=\frac{100 \times 5}{2}$ $=$ Rs. 250
New C.P. $=$ Rs. 175
$\therefore$ Profit $=175-100=$ Rs. 75
Decrease in profit $=$ Rs. $(150-75)=$ Rs. 75
$\therefore$ Required per cent $=\frac{75}{250} \times 100=30 \%$
BETA
