1. 3.3
Markup and Markdown
How can you rewrite expressions to help you solve markup and markdown problems?

3. To make a profit, stores mark up the prices on the items they sell
To make a profit, stores mark up the prices on the items they sell. A sports store buys
Skateboards from a supplier for s dollars. What is the retail price for skateboards that the
Manager buys for $35 and $56 after a 42% markup?
Step 1: Use the variable s to represent the cost of the skateboard. Rewrite the percent
Markup as a decimal. When you add these two together it represents the cost plus the markup.
Step 2: Retail price = original cost + markup
Step 3: Use the expression to find the retail price of each skateboard.

4. 1c + 0.1c, 1.1c
$30.80
200%
1c + 2c; 3c

6. 0.76b
1p − 0.05p, 0.95p
$14.25

7. $2.70
$9.45
$25.31
$24.75
$48.60
$231.25
$20.70
$31.95
$59.06
$99.74
$97.20
$416.25

8. ADDITIONAL EXAMPLE 1
A shoe store buys a pair of boots from a supplier for b dollars. The store’s manager decides on a markup of 35%. Write an expression for the retail price of a pair of boots.
1.35b

9. ADDITIONAL EXAMPLE 2
A pet store marks down all of its grooming products by 15% off the regular selling price of p. Write an expression for the sale price.
0.85p

10. 3.3 LESSON QUIZ
7.4.D
Fred buys flags from a manufacturer for f dollars each and then sells the flags in his store for a 26% markup. 1.
Write the markup as a decimal.
0.26 2.
Write an expression for the retail price of a flag.
1f f or 1.26f

11. Fred buys flags from a manufacturer for f dollars each and then sells the flags in his store for a 26% markup. 3.
What is the retail price of a flag for which Fred paid $40?
$50.40 4.
How much was added to the cost of the flag?
$10.40
List the sale price of each item. Round to two decimal places when necessary. 5.
Original price: $25; Markdown: 12%
$22 6.
Original price: $16.45; Markdown: 33%
$11.02

12. A shirt is on sale now for $20
A shirt is on sale now for $20. Starting today, a morning sales clerk decreases the price by 30%, and then an afternoon sales clerk increases the price by 20%. This pattern continues for several days. Provided the shirt is never purchased, on which day is the shirt marked down to about 75% off the price it is now?
75% off the current price would make the shirt’s sale price $5. On the morning of Day 6, the shirt will be priced at $4.90.

13. How can you rewrite expressions to help you solve markup and markdown problems?
Sample answer:
Markups are 1 plus a percent of the cost, and markdowns are 1 minus a percent of a price. Either can be rewritten as a single term.