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Zorluk: OrtaProfit, Loss, and Markup

A home decor retailer imports hand-woven area rugs at a cost price of 500500 dollars each. The retailer marks up the cost price by 60%60\% to establish the regular list price. During a seasonal clearance sale, each rug is sold at a discount of 25%25\% off its regular list price. If the retailer incurs an additional non-refundable freight charge of 4040 dollars per rug, which is included in the total cost of each rug, what is the net profit percentage earned by the retailer relative to the total cost of each rug?

  1. 1119%11\frac{1}{9}\%Cevap
  2. B
    10%10\%
  3. C
    20%20\%
  4. D
    25%25\%
  5. E
    7.5%7.5\%

Cevap

The net profit percentage earned on the total cost of each rug is 11 1/9%.
The total cost of importing each rug includes both the initial cost price (500)andthefreightfee(500) and the freight fee ( 40), yielding a total cost base of 540.A60540. A 60% markup on the 500 cost price gives a list price of 500∗1.60=500 * 1.60 = 800. Applying a 25% discount to the 800listpriceyieldsafinalsellingpriceof800 list price yields a final selling price of 800 * 0.75 = 600.Thenetprofitis600. The net profit is 600 - 540=540 = 60. Expressed as a percentage of the total cost base of 540,thenetprofitpercentageis(540, the net profit percentage is ( 60 / $540) * 100% = 1/9 * 100% = 11 1/9%.

Adım Adım Çözüm

1
Calculate the total cost per rug
Total Cost = 500+500 + 40 = 540540
Total cost must include both the initial purchase cost price and the additional freight charge.
2
Determine the regular list price after markup
List Price = 500×(1+0.60)=500 \times (1 + 0.60) = 500 \times 1.60 = 800800
The markup of 60% is applied to the initial cost price of $500.
3
Calculate the discounted selling price
Selling Price = 800×(1−0.25)=800 \times (1 - 0.25) = 800 \times 0.75 = 600600
The 25% discount is applied to the regular list price of $800.
4
Determine net profit per rug
Net Profit = Selling Price - Total Cost = 600−600 - 540 = 6060
Net profit is the difference between final revenue (selling price) and total expenses (total cost).
5
Calculate the net profit percentage based on total cost
\text{Net Profit \%} = \left(\frac{60}{540}\right) \times 100\% = \frac{1}{9} \times 100\% = 11\frac{1}{9}\%
Percentage profit must be evaluated against the total cost base of $540.

Anahtar Kavram

Profit, Loss, and Markup Base Calculations
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Profit, Loss, and Markup

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