Discount Ques 5
Question
A trader sells an item to a retailer at $20 \%$ discount, but charges $10 \%$ on the discounted price, for delivery and packaging. The retailer sells it for Rs. 2046 more, thereby earning a profit of $25 \%$. At what price had the trader marked the item?
(1) Rs. 9400
(2) Rs. 9000
(3) Rs. 8000
(4) Rs. 12000
(5) Rs. 9300
(IBPS RRBs Officer Scale-I & II CWE 13.09.2015)
Show Answer
Answer: (5)
Solution: (5)
Let the price marked by the trader be Rs. $x$.
$\therefore$ S.P. of article $=$ Rs. $\left(x \times \frac{80}{100} \times \frac{110}{100}\right)$ $=\operatorname{Rs} .\left(\frac{44 x}{50}\right)=\operatorname{Rs} \frac{22 x}{25}$
For the retailer,
S.P. $=$ Rs. $\left(\frac{22 x}{25} \times \frac{125}{100}\right)=$ Rs. $\frac{11 x}{10}$
According to the question,
$\frac{11 x}{10}-\frac{22 x}{25}=2046$
$\Rightarrow \frac{55 x-44 x}{50}=2046$
$\Rightarrow 11 x=2046 \times 50$
$\Rightarrow x=\frac{2046 \times 50}{11}=$ Rs. 9300
BETA
