A commercial machinery supplier purchased a batch of industrial generators. The supplier m… — GMAT

A commercial machinery supplier purchased a batch of industrial generators. The supplier marked up the wholesale cost of each generator by $40\%$ to set the original retail price. During an end-of-quarter promotion, the supplier offered a $15\%$ discount off the original retail price. If a customer purchased a generator at the promotional price for $\$4,760$ , what was the supplier's profit, in dollars, on that sale?

Cevap: 760 $

Cevap

The supplier's profit on the sale was $760.

Let

C

represent the wholesale cost of a generator. A

40\%

markup yields an original retail price of

1.40C

. Applying a

15\%

discount to this retail price produces a promotional selling price of

0.85 \times 1.40C = 1.19C

. Setting

1.19C = 4,760

gives

C = 4,000

. The profit is the promotional selling price minus wholesale cost:

\$4,760 - \$4,000 = \$760

Adım Adım Çözüm

Define the relationship between wholesale cost and original retail price.

Original Retail Price =

1.40 \times C

40\%

markup on wholesale cost

C

increases the price to

140\%

C

Apply the discount to calculate the promotional selling price.

Selling Price =

0.85 \times (1.40 \times C) = 1.19 \times C

15\%

discount off the retail price leaves

85\%

of the retail price.

Solve for the wholesale cost

C

C = \frac{4,760}{1.19} = 4,000

Given that the final selling price is

\$4,760

, set

1.19C = 4,760

and divide.

Calculate the profit made on the sale.

Profit =

\$4,760 - \$4,000 = \$760

Profit equals total revenue (selling price) minus total cost.

Anahtar Kavram

Successive markup and discount calculations with distinct base values.

Soru

Cevap

Adım Adım Çözüm

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