A trader sells an item to a retailer at 20% discount, but charges 10% on the discounted price, for delivery and packaging. The retailer sel… — Answer & Discussion

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?

ARs. 9400
BRs. 9000
CRs. 8000
DRs. 12000

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Discussion 1

CCommunity22 May 2019

Solution
Let Marked price of item = $Rs. 100x$
=> Selling price of trader = Cost price of retailer = $100x \times \frac{80}{100} \times \frac{110}{100}$

= $Rs. 88x$
Selling price of retailer = $Rs. (88x + 2046)$
Profit % = $\frac{(88x + 2046) - 88x}{88x} \times 100 = 25$
=> $\frac{2046}{88x} = \frac{25}{100} = \frac{1}{4}$
=> $x = \frac{2046 \times 4}{88} = 93$
$\therefore$ Marked price = $100 \times 93 = Rs. 9,300$