6.8 & 6.9 percent change markup

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Chapter 6, Section 8: Percent of Change Percent of Change December 16 th , 2008

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Chapter 6, Sections 8 and 9.

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Page 1: 6.8 & 6.9 Percent Change Markup

Chapter 6, Section 8:Percent of ChangePercent of Change

December 16th, 2008

Page 2: 6.8 & 6.9 Percent Change Markup

Finding Percent of Increase

• The percent an amount increases or decreases from its original amount is the percent of changepercent of change.

• So Percent of Change = amount of change

• original amount

Page 3: 6.8 & 6.9 Percent Change Markup

Find the percent of increase from 4 to 7.5

• 1st: amount of increase: 7.5 – 4 = 3.5• 2nd: set up fraction.Percent of increase = amount of increase original amount• 3.5/4 = 0.875 = 87.5%• The percent of increase from 4 to 7.5 is

87.5%

Page 4: 6.8 & 6.9 Percent Change Markup

Try These: Find each percent of increase.

• From 100 to 114

• From 2.0 to 3.2

• From 4,000 to 8,500

14%

60%

112.5%

Page 5: 6.8 & 6.9 Percent Change Markup

Word Problem• The annual production of video games

in the United States has more than doubled since the 1960s. Find the percent of increase from 1960 to 1990.

Year Number of Video Games Produced

1960 88,000

1990 205,000

Percent of increase from 1960-1990 was about 133%.

Page 6: 6.8 & 6.9 Percent Change Markup

Finding Percent of Decrease

• Percent of Decrease is found the SAME way that Percent of Increase is.

• 1st: Find Percent of Decrease.

• Subtract both numbers being compared.

• 2nd: Amount of Decrease

• Original Amount

• 3rd: Divide.

Page 7: 6.8 & 6.9 Percent Change Markup

Find each percent of decrease.Round to nearest tenth.

• From 9.6 to 4.8

• From 202 to 192

• From 854.5 to 60.6

50%

5%

92.9%

Page 8: 6.8 & 6.9 Percent Change Markup

Word Problem

• A computer that costs $875 last year costs $745 this year. Find the percent of decrease to the nearest percent.

14.85%

Page 9: 6.8 & 6.9 Percent Change Markup

Chapter 6, Section 9:Chapter 6, Section 9:Markup and DiscountMarkup and Discount

Page 10: 6.8 & 6.9 Percent Change Markup

Finding Markups

• To make a profit, stores charge more for merchandise than they pay for it.

• The amount of increase is called MARKUP.

• The percent of increase is the PERCENT OF MARKUP.

• (Much like Percent of Increase).

Page 11: 6.8 & 6.9 Percent Change Markup

The Music Store

• A music store’s percent of markup is 67%. A CD costs the store $10.50. Find the markup.

Markup = percent of markup • store’s cost

• = 0.67 • 10.50

• Markup = $6.80

Page 12: 6.8 & 6.9 Percent Change Markup

The Clothing Store

• A clothing store pays $56 for a jacket. The store’s percent of markup is 75%. Find the markup for the jacket.

Jacket is marked up $42.

Page 13: 6.8 & 6.9 Percent Change Markup

Selling Price

• Store’s Cost + Markup = the Selling Price.

• If the markup for the CD is $6.80 and it costs the store $10.50, how much do you pay?

• If the jacket costs the store $56 and the markup is $42, how much do you pay?

Page 14: 6.8 & 6.9 Percent Change Markup

The Sporting Goods Store

• A store pays $5 for a baseball cap. The percent of markup is 70%. Find the selling price of the cap.

• .70 • $5 = $3.50

• $3.50 + $5 = $8.50

Page 15: 6.8 & 6.9 Percent Change Markup

Finding Discount

• There are TWO Methods

• 1st Method: Find the Discount, Then find the sale price.

• 2nd Method: Find the Sale Price Directly.

Page 16: 6.8 & 6.9 Percent Change Markup

Method 1: Two Step Method

• Discount = percent of discount • original price.

• = 0.20 (20%) • $39.95

• = $7.99

• Sales Price = Original Price – Discount

• = $39.95 - $7.99

• = $31.96 is the price you pay after discount.

Page 17: 6.8 & 6.9 Percent Change Markup

Method 2: One Step Method

• Find the sale price directly.

• The sales price equals 100% of the original price, minus 20% of the original price.

• Sale Price = (100% - 20%) • Original Price

• = .80 (or 80%) • Original Price

• = .80 • $39.95

• Sale Price = $31.96

Page 18: 6.8 & 6.9 Percent Change Markup

Assignment #49

• Pages 316: 8-19 all.

• Page 320: 1-12 all.