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Percent of Change and Markup Problems - Math Lesson

This math lesson covers topics such as calculating percent of change, finding markup and selling price, and solving percent equations. Includes example problems and solutions.

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Percent of Change and Markup Problems - Math Lesson

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  1. Splash Screen Chapter 5 Lesson 5-8

  2. (over Lesson 5-4) • A • B • C • D John puts 15% of his weekly salary into savings. How much money will he have saved in 4 weeks if he makes $400 a week? A. $240 B. $1,540 C. $1,660 D. $2,440

  3. (over Lesson 5-5) Ming estimates that she spends 25% of her 8 hour school day in the computer lab. Does she spend approximately 1.5, 2.0, or 2.5 hours in the lab? • A • B • C A. 1.5 hours B.2.0 hours C. 2.5 hours

  4. A. B. C. D. (over Lesson 5-6) • A • B • C • D Estimate the percent 7 out of 69.

  5. (over Lesson 5-7) • A • B • C • D Find 40% of 50 using the percent equation. A. 20 B. 40 C. 80 D. 125

  6. (over Lesson 5-7) • A • B • C • D Use the percent equation to find what percent of 35 is 10. A. 35% B. 20% C. 25% D. 3.5%

  7. Find and use the percent of increase or decrease. • percent of change • percent of increase • percent of decrease • markup • selling price • discount

  8. Standard 7NS1.6 Calculate the percentage of increases and decreases of a quantity. Standard 7NS1.7 Solve problems that involve discounts, markups, commissions, and profit and compute simple and compound interest.

  9. Step 2 percent of change Find Percent of Change HOMES The Neitos bought a house several years ago for $120,000. This year, they sold it for $150,000. Find the percent of change. State whether the change is an increase or a decrease. Step 1 The amount of change is 150,000 – 120,000 = 30,000.

  10. The amount of change is 30,000. The original amount is 120,000. Find Percent of Change = 0.25 Divide. Step 3 The decimal 0.25 written as a percent is 25%. So, the percent of change is 25%. Answer: The new amount is more than the original. The percent of increase is 25%.

  11. Step 2 percent of change The amount of change is 48. The original amount is 240. Find Percent of Change SCHOOLSJohnson Middle School had 240 students last year. This year, there are 192 students. Find the percent of change. State whether the percent of change is an increase or a decrease. Step 1 The amount of change is 240 – 192 = 48.

  12. Find Percent of Change = 0.20 Divide. Step 3 The decimal 0.20 written as a percent is 20%. Answer: The percent of change is 20%. Since the new amount is less than the original, it is a percent of decrease.

  13. Find the Selling Price MARKUP Shirts bought by a sporting goods store cost them $20 per shirt. They want to mark them up 40%. What will be the selling price? Method 1Find the amount of the markup first. The whole is $20. The percent is 40. You need to find the amount of the markup, or the part. Let x represent the amount of the markup. Write the percent equation. part = whole ● percent x = 20 ● 0.40 Fill in the data for the percent equation. x= 8 Multiply. Add the markup $8 to the cost of each shirt to find the selling price. $20 + $8 = $28

  14. MARKUP Shirts bought by a sporting goods store cost them $20 per shirt. They want to mark them up 40%. What will be the selling price? Find the Selling Price Method 2Find the total percent first. The customer will pay 100% of the store’s cost plus an extra 40% of the cost. Find 100% + 40% or 140% of the store’s cost. Letxrepresent the price. part = whole● percent Write the percent equation. x= 20 ● 1.4 Fill in the data for the percent equation. x= 28 Multiply. Answer:The selling price of the shirts for the customer is $28.

  15. Find the Sale Price SHOPPINGA computer usually sells for $1,200. This week, it is on sale for 30% off. What is the sale price? Method 1Find the amount of the discount first. The percent is 30, and the whole is 1,200. We need to find the amount of the discount, or the part. Let x represent the amount of discount. part = whole ● percent Write the percent equation. Fill in the data for the percent equation. x= 1,200 ● 0.3 x= 360 Multiply. Subtract the amount of the discount from the original price to find the sale price. $1,200 – $360 = $840

  16. Find the Sale Price Method 2Find the percent paid first. If the amount of the discount is 30%, the percent paid is 100% – 30% or 70%. Find 70% of $1,200. Let s represent the sale price. part = percent ● whole Write the percent equation. s = 0.7 ● 1,200 Fill in the data for the percent equation. s= 840 Multiply. Answer:The sale price of the computer is $840.

  17. CLUBSLast year, Cedar Park Swim Club had 340 members. This year, they have 391 members. Find the percent of change. State whether the percent of change is an increase or a decrease. • A • B • C • D A. 12%; decrease B. 15%; increase C. 18%; decrease D. 21%; increase

  18. CARSMeagan bought a new car several years ago for $14,000. This year she sold the car for $9,100. Find the percent of change. State whether the percent of change is an increase or a decrease. • A • B • C • D A. 25%; increase B. 25%; decrease C. 35%; increase D. 35%; decrease

  19. MARKUPSilk flowers bought by a craft store cost them $10 per dozen. They want to mark them up 35 percent. What will be the selling price? • A • B • C • D A. $12.85 B. $13.10 C. $13.50 D. $14.25

  20. SHOPPINGA DVD sells for $28. This week it is on sale for 20% off. What is the sale price? • A • B • C • D A. $21.65 B. $22.40 C. $23.15 D. $23.45

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