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Question

Difficulty: EasyDiscounts and Sale Prices

Read the scenario below and fill in the missing numerical values for the discount amount and percentage.

Answer:A gym owner is purchasing a set of free weights. The original price of the weights is $500\$500. During a seasonal clearance sale, the gym owner purchases the set for $400\$400.

Based on these prices, the dollar amount of the discount is $\$ 【100】 and the discount percentage is 【20】 %\%.

Answer

The discount amount is $100 and the discount percentage is 20%.
The discount amount is the difference between the original price ($500\$500) and the sale price ($400\$400), which is $100\$100. The discount rate is the discount amount divided by the original price ($100/$500=0.20\$100 / \$500 = 0.20), which equals 20%20\%.

Step-by-Step Solution

1
Calculate the dollar amount of the discount.
Discount = $500\$500 - $400\$400 = $100\$100.
The discount amount is found by subtracting the sale price from the original price.
2
Calculate the discount percentage.
($100/$500)×100=0.20×100=20%(\$100 / \$500) \times 100 = 0.20 \times 100 = 20\%.
The discount rate is calculated by dividing the discount amount by the original price.

Key Concept

Calculating discount amounts and percentage rates based on original and sale prices.

Alternative Method

You can also determine the percentage the owner paid ($400/$500=0.80\$400 / \$500 = 0.80, or 80%80\%) and subtract that from 100%100\% to find the discount percentage (100%−80%=20%100\% - 80\% = 20\%).
Estimated Time:45s
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Topics

Discounts and Sale Prices

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