Profit And Loss Ques 11
Question.
A merchant buys two items for Rs. 7500. One item he sells at a profit of $16 \%$ and the other item at $14 \%$ loss. In the deal the merchant makes neither any profit nor any loss. What is the difference between selling price of both the items? (in rupees)
(1) 625
(2) 610
(3) 620
(4) 630
(5) 615
(BOB Junior Management Grade/Scale-I Exam. 18.04.2015)
Show Answer
Correct Answer: (3)
Solution: (3)
C.P. of first article $=$ Rs. $x$ (let)
$\therefore$ C.P. of second article $=$ Rs. $(7500-x)$
According to the question,
$\frac{16 x}{100}=(7500-x) \times \frac{14}{100}$
$\Rightarrow 16 x=7500 \times 14-14 x$
$\Rightarrow 16 x+14 x=7500 \times 14$
$\Rightarrow 30 x=7500 \times 14$
$\Rightarrow x=\frac{7500 \times 14}{30}=$ Rs. 3500
$\therefore$ Required difference $=\frac{3500 \times 116}{100}-\frac{4000 \times 86}{100}$ = Rs. $4060-3440=$ Rs. 620
BETA
