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Zorluk: OrtaProfit, Loss, and Markup

A wholesaler purchased 8080 identical smartphones for a total cost of $16,000\$16,000. The wholesaler marked up the cost price of each smartphone by 50%50\% to establish the regular retail price. During a promotional sale, 20%20\% of the smartphones were sold at a 20%20\% discount off the regular retail price, and the remaining smartphones were sold at the full regular retail price. What was the total profit earned by the wholesaler on all 8080 smartphones?

  1. A
    $5,760\$5,760
  2. B
    $6,400\$6,400
  3. $7,040\$7,040Cevap
  4. D
    $7,360\$7,360
  5. E
    $8,000\$8,000

Cevap

The total profit earned by the wholesaler on all 8080 smartphones was $7,040\$7,040.
The cost per smartphone is $200\$200. Marking up by 50%50\% gives a regular retail price of $300\$300. 1616 smartphones (20%20\% of 8080) are sold at a 20%20\% discount for $240\$240 each, generating $3,840\$3,840 in revenue. The remaining 6464 smartphones are sold at $300\$300 each, generating $19,200\$19,200 in revenue. The total revenue is $23,040\$23,040, and subtracting the initial total cost of $16,000\$16,000 yields a net profit of $7,040\$7,040.

Adım Adım Çözüm

1
Calculate the cost price per unit and the regular retail price per unit.
Cost per unit = $16,00080=$200\frac{\$16,000}{80} = \$200. Regular retail price = $200×(1+0.50)=$300\$200 \times (1 + 0.50) = \$300.
Markup is applied to the cost price per unit.
2
Calculate the number of units sold at a discount and at regular price, along with their respective selling prices.
Discounted units = 80×0.20=1680 \times 0.20 = 16 units. Regular units = 80−16=6480 - 16 = 64 units. Discounted price = $300×(1−0.20)=$240\$300 \times (1 - 0.20) = \$240.
The 20%20\% discount is taken off the regular retail price of $300\$300.
3
Calculate total revenue and total profit.
Total revenue = (16×$240)+(64×$300)=$3,840+$19,200=$23,040(16 \times \$240) + (64 \times \$300) = \$3,840 + \$19,200 = \$23,040. Total profit = $23,040−$16,000=$7,040\$23,040 - \$16,000 = \$7,040.
Profit is total revenue minus total cost.

Anahtar Kavram

Successive percentage markup and discount calculations with split inventory
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Konular

Profit, Loss, and Markup

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