A trader sells an item to a retailer at 20% discount, but charges 10%

1.	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. 94002). Rs. 90003). Rs. 80004). Rs. 12000
Answer» 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 = $100 \times 93 = Rs. 9,300$

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. 94002). Rs. 90003). Rs. 80004). Rs. 12000

Answer»

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