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Zorluk: OrtaProfit and Loss

A bakery owner purchases a commercial oven for $2,400\$2,400. She pays $250\$250 for freight shipping and $150\$150 for professional installation. If she later sells the oven for a 15%15\% loss on her total initial investment, what is the selling price in dollars?

Cevap: 2380 dollars

Cevap

2380
The correct answer is found by first determining the total investment ($2,400+$250+$150=$2,800\$2,400 + \$250 + \$150 = \$2,800), then finding the 15%15\% loss (0.15×$2,800=$4200.15 \times \$2,800 = \$420), and finally subtracting that loss from the total investment to get the selling price ($2,800−$420=$2,380\$2,800 - \$420 = \$2,380).

Adım Adım Çözüm

1
Calculate the total initial investment.
$2,400+$250+$150=$2,800\$2,400 + \$250 + \$150 = \$2,800
All overhead costs must be added to the purchase price to find the true total cost.
2
Calculate the dollar amount of the 15%15\% loss.
0.15×$2,800=$4200.15 \times \$2,800 = \$420
The loss is based on the total initial investment, not just the purchase price.
3
Determine the final selling price.
$2,800−$420=$2,380\$2,800 - \$420 = \$2,380
Subtracting the loss amount from the total investment gives the selling price.

Anahtar Kavram

Calculating total cost including overhead, and applying a percentage loss to find the final selling price.

Alternatif Yöntem

Instead of calculating the loss and subtracting it, you can multiply the total investment by 85%85\% (since 100%−15%=85%100\% - 15\% = 85\%). 0.85×$2,800=$2,3800.85 \times \$2,800 = \$2,380.
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Profit and Loss

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