A particular style of shoes costs the retailer
$80
per pair. At what price should the retailer mark them so he can sell them at a 20% discount off the original price and still make 35% profit on his cost?
If the marked price was p, then you need
0.8p = 1.35*80
Well, if the shoes cost the retailer $80 per pair, and they want to make a 35% profit on their cost, we can calculate that as 35% of $80, which is $28. So the retailer would want to sell the shoes for $80 + $28 = $108. However, they also want to offer a 20% discount off the original price. So, to find the price they should mark the shoes, we subtract 20% of $108 from $108. 20% of $108 is $21.60, so subtracting that from $108 gives us $86.40. Therefore, the retailer should mark the shoes at $86.40 in order to sell them at a 20% discount and still make a 35% profit on their cost.
To determine the price at which the retailer should mark the shoes, we need to calculate the desired selling price.
Step 1: Calculate the profit percentage:
Profit percentage = 35%
Step 2: Calculate the desired selling price after applying the discount:
Discount = 20%
Discounted price = $80 - (20% of $80)
Discounted price = $80 - (0.20 * $80)
Discounted price = $80 - $16
Discounted price = $64
Step 3: Calculate the cost of the shoes with the desired profit:
Profit = 35% of cost
Profit = 35% of $80
Profit = 0.35 * $80
Profit = $28
Step 4: Calculate the desired selling price:
Desired selling price = Cost + Profit
Desired selling price = $80 + $28
Desired selling price = $108
Therefore, the retailer should mark the shoes at $108 in order to sell them at a 20% discount off the original price and still make a 35% profit on the cost.
To find the price at which the retailer should mark the shoes, we need to calculate the original price and then apply the desired discount.
Step 1: Calculate the original price.
The retailer wants to make a 35% profit on the cost. To determine the original price, we need to add the desired profit percentage to the cost of the shoes.
Profit = Profit percentage * Cost
Profit = 35% * $80 = $28
Original price = Cost + Profit
Original price = $80 + $28 = $108
Step 2: Apply the discount.
The retailer wants to sell the shoes at a 20% discount off the original price. To calculate the discounted price, we need to subtract the discount percentage from the original price.
Discount amount = Discount percentage * Original price
Discount amount = 20% * $108 = $21.6
Price to mark the shoes = Original price - Discount amount
Price to mark the shoes = $108 - $21.6 = $86.4
Therefore, the retailer should mark the shoes at $86.4 in order to sell them at a 20% discount off the original price and still make a 35% profit on the cost.