1. Applications of Percents
By Mrs. Muller

2. Key Vocabulary Percent: A ratio that compares a number to 100
Proportion:
An equation stating that two ratios are equal.
Cross Product:
Multiplying the numerator of each ratio with the denominator of the other ratio.
Markup: the amount of increase in price.
Selling Price: mark up is added to the store’s cost for item; the price the store charges.
Discount: the difference between the original price and the sale price of an item.

3. Key Proportions Amount of Markup Percent of Markup 100 Original Cost
Amount of Discount
Percent of Discount
100
Original Cost

4. Finding a Percent of Markup Procedure
First step find the amount of markup by finding the difference between the two prices.
Second step write a proportion. Let M=percent of markup.
Third step write the cross products.
Fourth step use the division property of equality in order to isolate the variable.
Fifth Step Simplify.

5. Example of finding a percent of Markup
An electronic store orders sets of walkie-talkies for $14.85 each. The store sells each set for $ What is the percent of markup?

6. Finding a Percent of Discount Procedure
First find the amount of discount.
Second write a proportion. Let d be the percent of discount.
Third step write the cross products .
Fourth Step simplify by multiplying the numbers together.
Fifth Step use the division property of equality to isolate the variable.
Sixth and final step, simplify.

7. Example of Finding a Percent of Discount
During a clearance sale, a keyboard that normally sells for $49.99 is discounted to $ What is the percent of discount?

8. Procedure for Finding a Sale Price
First write the percent as a decimal
Second step Multiply
Or you can do it as a proportion

9. Example Finding a Sale Price
The tablet Alexis wants cost $ if it is on sale for 30% off, how much does it cost now?