Determine the original wholesale cost based on the successive price changes.

Cevap:A restaurant supply company purchases a commercial blender at a wholesale cost. To determine the regular selling price, the company applies a

40\%

markup. During a clearance event, the blender is discounted by

25\%

from its regular price. A customer with a loyalty membership receives an additional

10\%

off the clearance price. If the loyalty member pays

\$141.75

before tax, the original wholesale cost of the blender was

\$【150】

Cevap

150

The wholesale cost is found by setting up an equation with successive percentage multipliers. A 40% markup multiplies the cost by 1.40. A 25% discount multiplies the new price by 0.75, and a 10% discount multiplies that result by 0.90. The combined effect is 1.40 × 0.75 × 0.90 = 0.945. Dividing the final price of

141.75 by 0.945 reveals that the original wholesale cost was

150.

Adım Adım Çözüm

Determine the multiplier for the initial 40% markup.

Markup multiplier =

1 + 0.40 = 1.40

A markup increases the base price by adding the percentage to 100%.

Determine the multipliers for the two successive discounts.

Clearance multiplier =

1 - 0.25 = 0.75

and Loyalty multiplier =

1 - 0.10 = 0.90

Each discount decreases the current price, requiring subtraction from 100%.

Calculate the combined percentage multiplier for all transactions.

1.40 \times 0.75 \times 0.90 = 0.945

Successive percentage changes are multiplicative, forming a single equivalent multiplier.

Set up an equation and solve for the original wholesale cost (W).

0.945 \times W = 141.75 \rightarrow W = \frac{141.75}{0.945} = 150

Dividing the final sale price by the combined multiplier isolates the original cost.

Anahtar Kavram

Calculating successive percentage changes using sequential multipliers and working backward to find an original base amount.

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Cevap

Adım Adım Çözüm

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