Profit And Loss Ques 33
Question.
After selling an article, it is found that profit is $20 \%$ of the cost price of article. If the cost price is increased by $10 \%$ keeping the selling price same, then what per cent of selling price is profit?
(1) ₹ 8,000
(2) $ \text{₹} 7,500$
(3) ₹ 8,500
(4) Cannot be determined
(5) None of these
(United India Insurance AO Exam. 27.03.2011)
Show Answer
Correct Answer: (2)
Solution: (2)
Case I
C.P. of article $=$ Rs. $x$
$\therefore$ S.P. of article $=\frac{120 x}{100}$ $=$ Rs. $\frac{6 x}{5}$
Case II,
C.P. $=\frac{110 x}{100}=$ Rs. $\frac{11 x}{10}$
Profit $=\frac{6 x}{5}-\frac{11 x}{10}$ $=\frac{12 x-11 x}{10}=$ Rs. $\frac{x}{10}$
$\therefore$ Required per cent $=\left(\frac{\frac{x}{10}}{\frac{6 x}{5}}\right) \times 100$ $=\left(\frac{x}{10} \times \frac{5}{6 x}\right) \times 100$ $=\frac{100}{12}=\frac{25}{3} \%$
BETA
