Question 121

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?

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 = $$100 \times 93 = Rs. 9,300$$

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