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Zorluk: OrtaProfit and Loss

A craftsman purchases 6060 wooden boards at $3.00\$3.00 each to build custom storage chests. He spends an additional $40.00\$40.00 on hinges and pays a $20.00\$20.00 delivery fee for the materials. If he builds 1010 chests and sells them all for $30.00\$30.00 each, what is his profit percentage?

  1. A
    20%20\%
  2. B
    2.5%2.5\%
  3. 25%25\%Cevap
  4. D
    125%125\%

Cevap

The profit percentage is 25%25\%.
The correct answer is found by first determining the total cost, which includes the materials and all overhead expenses ($180+$40+$20=$240\$180 + \$40 + \$20 = \$240). Next, find the total revenue ($30×10=$300\$30 \times 10 = \$300). The profit is the difference ($300−$240=$60\$300 - \$240 = \$60). Finally, divide the profit by the total cost to find the percentage: $60/$240=0.25\$60 / \$240 = 0.25, which is 25%25\%.

Adım Adım Çözüm

1
Calculate the initial cost of the wooden boards.
60×$3.00=$180.0060 \times \$3.00 = \$180.00
To find the base material cost before adding overhead expenses.
2
Calculate the total cost (investment).
$180.00+$40.00 (hinges)+$20.00 (delivery)=$240.00\$180.00 + \$40.00 \text{ (hinges)} + \$20.00 \text{ (delivery)} = \$240.00
All overhead and preparation expenses must be included to find the true total cost.
3
Calculate the total revenue from selling the chests.
10×$30.00=$300.0010 \times \$30.00 = \$300.00
To determine the total amount earned from sales.
4
Calculate the profit amount.
$300.00−$240.00=$60.00\$300.00 - \$240.00 = \$60.00
Profit is the difference between total revenue and total cost.
5
Calculate the profit percentage.
(\$60.00 / \$240.00) \times 100 = 0.25 \times 100 = 25\%
Profit percentage is the profit amount divided by the total cost, expressed as a percentage.

Anahtar Kavram

Calculating percentage profit with multi-step overhead costs
Tahmini Süre:1m 15s
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Konular

Profit and Loss

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