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Zorluk: OrtaProfit, Loss, and Markup

A medical distributor purchased a lot of 6060 identical diagnostic kits for a total cost of $4,800\$4,800. The distributor marked up the cost price of each kit by 50%50\% to set its regular retail price. After selling 4040 kits at the regular retail price, the distributor sold the remaining 2020 kits at a clearance discount of 30%30\% off the regular retail price. What was the distributor's total net profit, in dollars, from the sale of all 6060 diagnostic kits?

Cevap: 1680 $

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The distributor's total net profit from the sale of all 60 diagnostic kits is $1,680.
To calculate net profit, first determine the unit cost: $4,80060=$80\frac{\$4,800}{60} = \$80. The marked-up regular price is $80×1.50=$120\$80 \times 1.50 = \$120. Selling 4040 kits at $120\$120 yields $4,800\$4,800. The remaining 2020 kits are sold at a 30%30\% discount off $120\$120, giving a clearance price of $120×0.70=$84\$120 \times 0.70 = \$84 per kit and revenue of 20×$84=$1,68020 \times \$84 = \$1,680. Total revenue is $4,800+$1,680=$6,480\$4,800 + \$1,680 = \$6,480. Subtracting the total cost of $4,800\$4,800 yields a net profit of $1,680\$1,680.

Adım Adım Çözüm

1
Determine the cost price per unit.
Cost per kit is $4,80060=$80\frac{\$4,800}{60} = \$80.
Dividing total initial cost by total units gives the unit cost price.
2
Calculate the regular retail price per unit.
Regular retail price is $80×(1+0.50)=$120\$80 \times (1 + 0.50) = \$120.
The 50%50\% markup is applied directly to the cost price of $80\$80.
3
Calculate revenue from the full-price sales segment.
Revenue from 4040 kits is 40×$120=$4,80040 \times \$120 = \$4,800.
Multiply quantity sold at full price by regular retail price.
4
Determine clearance price and revenue for remaining units.
Clearance price is $120×(1−0.30)=$84\$120 \times (1 - 0.30) = \$84. Revenue from 2020 kits is 20×$84=$1,68020 \times \$84 = \$1,680.
The clearance discount of 30%30\% is taken off the regular retail price, not cost.
5
Calculate total revenue and net profit.
Total revenue is $4,800+$1,680=$6,480\$4,800 + \$1,680 = \$6,480. Net profit is $6,480−$4,800=$1,680\$6,480 - \$4,800 = \$1,680.
Net profit equals total revenue minus total cost.

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Profit, Loss, and Markup
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Profit, Loss, and Markup

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