Profit And Loss Ques 21
Question.
The cost price of article $B$ is Rs. 200 more than the cost price of article A. B is sold at $10 \%$ profit and $A$ is sold at $40 \%$ loss and selling prices of $A$ and $B$ are in the ratio $4: 11$. If $A$ is sold at $20 \%$ loss, what will be the selling price of $A$ ?
(1) Rs. 320
(2) Rs. 400
(3) Rs. 240
(4) Rs. 160
(5) Rs. 360
(IBPS RRBs Officers CWE (Prelim Exam) 09.09.2017 IInd Sitting)
Show Answer
Correct Answer: (1)
Solution: (1)
C.P. of article $A=$ Rs. $x$
$\therefore$ C.P. of article $B=$ Rs. $(x+200)$
According to the question, $\frac{\frac{60 x}{100}}{(x+200) \times \frac{110}{100}}=\frac{4}{11}$
$\Rightarrow \frac{60 x}{(x+200) \times 110}=\frac{4}{11}$
$\Rightarrow \frac{6 x}{x+200}=4$
$\Rightarrow 3 x=2 x+400$
$\Rightarrow x=$ Rs. 400
$\therefore$ S.P. of article $A$ at $20 \%$ loss $=$ Rs. $\left(\frac{400 \times 80}{100}\right)=$ Rs. 320