Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2015 · Marks: · Difficulty:
Aditya, 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 ₹ 2046 more, thereby earning a profit of 25\%. At what price had the trader marked the item?
(a)₹ 9400
(b)₹ 9000
(c)₹ 8000
(d)₹ 9300
Answer
Answer (as printed): D
Explanation
Let the marked price of the time be ₹ $100 x$ Discount \% = 20\% Changes for delivery and packaging = 10\% on discounted Price Then, $100 x \xrightarrow{-20 \%} 80 x \xrightarrow{+10 \%} 88 x$ $$\begin{aligned} & \therefore 88 x+88 x \times \frac{25}{100}-88 x=2046 \\ & \Rightarrow 110 x-88 x=2046 \Rightarrow 22 x=2046 \\ & \Rightarrow x=93 \end{aligned}$$ Hence, $100 x=93 \times 100=9300$ $$\text { ∴ } \text { Marked price }=₹ 9300$$
Explanation as extracted from the printed page; notation may be imperfect.