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Difficulty: MediumDiscounts and Sale Prices

A restaurant manager orders a bulk supply of premium cooking oil. The invoice shows a final cost of $510\$510 after a 15%15\% wholesale discount was applied to the standard price. What was the original standard price of the bulk supply before the discount?

  1. A
    $586.50\$586.50
  2. $600.00\$600.00Answer
  3. C
    $433.50\$433.50
  4. D
    $525.00\$525.00

Answer

The original standard price of the bulk supply was $600.00.
The final cost of 510represents85510 represents 85% of the original price, because a 15% discount was subtracted (100% - 15% = 85%). To find the original whole amount, divide the part by the percentage as a decimal: 510 \div 0.85 = \600600.

Step-by-Step Solution

1
Determine the percentage of the original price that the final cost represents.
Since a 15%15\% discount was applied, the manager paid 100%−15%=85%100\% - 15\% = 85\% of the original price.
The final discounted price represents the remainder of the original cost after the discount is subtracted.
2
Set up an equation and solve for the original price.
Let xx be the original price. The equation is 0.85x=5100.85x = 510. Solving for xx gives x=510÷0.85=600x = 510 \div 0.85 = 600.
Dividing the part (the discounted price) by its equivalent percentage (expressed as a decimal) gives the whole original amount.

Key Concept

To find the original price before a discount, divide the final discounted price by the complement of the discount percentage (100% minus the discount rate).
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Topics

Discounts and Sale Prices

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