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### Applications of a Percent

• A markup represents the amount added to the store‘s cost. A discount is subtracted from selling price the customer is charged.
• Formula of Markup:
• Amount of Markup/Original Cost = Percent of Markup/100
• Formula for Discount:
• Amount of Discount/Original Cost = Percent of Discount/100

### Applications of a Percent

A factory sells shoes for \$ 20.45 to its store. The store sells the shoes for \$ 45.20. To the nearest hundredth, find the percent of markup.
• \$ 45.20 − \$ 20.45 = \$ 24.75
• [24.75/45.20] = [p/100]
• 45.2p = 2475
p = 54.76%
Normally, the cost of a sweater at a certain store is \$ 58.20. The store has a sale and the new price of the sweater is \$ 39.50. To the nearest hundredth, what is the percent of discount?
• \$ 58.20 − \$ 39.50 = \$ 18.70
• [18.7/58.2] = [p/100]
• 58.2p = 1870
p = 32.13%
A textbook normally costs \$ 160. During the summer sale, everything in the book store is 15% off. Find the sale price of the textbook.
• 15% ×\$ 160 =
• 0.15 ×\$ 160 =
• \$ 24
• \$ 160 − \$ 24 =
\$ 136
A store buys backpacks from its manufacturers for \$ 37.75 each. The store then sells each backpack for \$ 50. To the nearest hundredth, what is the percent markup?
• \$ 50 − \$ 37.75 = \$ 12.25
• [12.25/37.75] = [p/100]
• 37.75p = 1,225
p = 32.45%
During a sale, a laptop that normally costs \$ 1299 is now \$ 899. To the nearest hundredth, what is the percent discount?
• \$ 1299 − \$ 899 = \$ 300
• [\$ 300/\$ 1299] = [p/100]
• 1299p = 30,000
p = 23.09%
A pair of pants that used to cost \$ 24.95 is now 10% off. How much are the pants now?
• 10% ×\$ 24.95 = 2.495
• \$ 24.95 − 2.495 =
• 22.455
\$ 22.46
It costs a coffee shop \$ 2.15 to make a cup of coffee, but the shop sells it for \$ 4.95. To the nearest hundredth, what is the percent markup?
• \$ 4.95 − \$ 2.15 = \$ 2.80
• [2.80/2.15] = [p/100]
• 2.15p = 280
p = 130.23%
A furniture store is going out of business, and everything in the store is now 45% off. How much is a coffee table whose price is \$ 46.75 after the discount?
• 45% ×46.75 =
• 0.45 ×46.75 =
• 21.0375
• 46.75 − 21.0375 =
• 25.7125
\$ 21.71
The original price of a pair of headphones is \$ 19.99, but they are now on sale for \$ 14.07. What is the percent discount to the nearest hundredth?
• \$ 19.99 − \$ 14.07 = \$ 5.92
• [5.92/19.99] = [p/100]
• 19.99p = 592
p = 29.61%
A store wants to mark up its products by 55%. How much would a toy that the store made for \$ 28.70 cost after the markup?
• 55% ×\$ 28.70 =
• 0.55 ×28.7 =
• 15.785
• 15.785 + 28.70 =
• 44.485
\$ 44.49

*These practice questions are only helpful when you work on them offline on a piece of paper and then use the solution steps function to check your answer.

### Applications of a Percent

Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.

• Intro 0:00
• What You'll Learn and Why 0:06
• Topics Overview
• Vocabulary 0:22
• Markup
• Selling Price
• Formula of Markup
• Formula for Discount
• Finding a Percent of Markup 1:16
• Example: Find the Percent of Markup
• Finding a Percent of Discount 3:19
• Example: Find the Percent of Discount
• Finding a Sale Price 5:03
• Example: Find the Sale Price of the Stereo System
• Extra Example 1: Find the Percent of Markup 6:39
• Extra Example 2: Find the Percent of Discount 8:57
• Extra Example 3: Find the Percent of Discount 9:52
• Extra Example 4: Find the Percent of Discount 10:44