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Zorluk: KolayProfit, Loss, and Markup

A retailer purchases a jacket for $80. The retailer marks up the purchase price by 25% to establish a list price. During a clearance sale, the jacket is sold at a 10% discount off the list price. What is the retailer's net profit on the sale of the jacket?

  1. A
    $8
  2. $10Cevap
  3. C
    $12
  4. D
    $18
  5. E
    $20

Cevap

The retailer's net profit is $10.
To find the net profit, first determine the list price by adding a 25% markup to the cost price of 80,whichgives80, which gives 100. Then apply a 10% discount to the list price of 100,yieldingasellingpriceof100, yielding a selling price of 90. Subtracting the initial cost of 80from80 from 90 gives a net profit of $10.

Adım Adım Çözüm

1
Calculate the list price by applying the 25% markup to the cost price.
List Price=$80+(0.25×$80)=$80+$20=$100\text{List Price} = \$80 + (0.25 \times \$80) = \$80 + \$20 = \$100
Markup is calculated as a percentage of the original cost price.
2
Calculate the selling price after applying the 10% discount to the list price.
Selling Price=$100−(0.10×$100)=$100−$10=$90\text{Selling Price} = \$100 - (0.10 \times \$100) = \$100 - \$10 = \$90
Discounts are calculated based on the list price, not the original cost price.
3
Calculate the net profit by subtracting the cost price from the selling price.
Net Profit=Selling Price−Cost Price=$90−$80=$10\text{Net Profit} = \text{Selling Price} - \text{Cost Price} = \$90 - \$80 = \$10
Profit is the difference between the final selling price and the initial purchase cost.

Anahtar Kavram

Profit, Loss, and Markup with Successive Percentages
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Konular

Profit, Loss, and Markup

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