1. Fractional Markdowns and Markups

2. Example 1: Bargains
A retail clothing store advertises the following sale: Shirts are 1/2 off the original price; pants are 1/3 off the original price, and shoes are 1/4 off the original price (called the discount rate). a. If a pair of shoes cost $40 and is advertised at 1/4 off the original price, what is the sales price?
Hint: Discount price = original price – rate × original price OR (1 - rate) × original price
Method one: 40− 1 4 (40) =40− 10 =$30
Method two: 1− = =$30

3. 𝟏 𝟒 off the original price is $𝟑𝟎.
Bar Diagrams
a. If a pair of shoes cost $40 and is advertised at 1/4 off the original price, what is the sales price?
𝟏 𝟒 off the original price is $𝟑𝟎.
$𝟒𝟎÷𝟒 = $𝟏𝟎
3($𝟏𝟎) = $𝟑𝟎

4. You Try: Method one: 33− 1 3 33 =33−11=$22 𝐌𝐞𝐭𝐡𝐨𝐝 𝐭𝐰𝐨: 1− 1 3 = 2 3
Example 2: Bargains
You Try:
At Macy’s a pair of pants that usually sell for $ If Macy’s advertises that the store is having off sale, what is the sale price of the pants?
Method one: 33− =33−11=$22
𝐌𝐞𝐭𝐡𝐨𝐝 𝐭𝐰𝐨: 1− 1 3 = 2 3
=$22.00
The consumer pays 𝟐 𝟑 of the original price.

5. Bar Diagrams
At Macy’s a pair of pants that usually sell for $ If Macy’s advertises that the store is having off sale, what is the sale price of the pants?
$𝟑𝟑÷ 𝟑 = $𝟏𝟏
𝟐($𝟏𝟏) = $𝟐𝟐

6. Example 4: Born to Ride
A motorcycle dealer took in a motorcycle and for $15,000 and marked it up by of the price on his lot. What is the retail price at the dealership?
Hint: Markup price = original price + rate × original price OR (1 + rate) × original price
Method one: = =$18,000
𝐌𝐞𝐭𝐡𝐨𝐝 𝐭𝐰𝐨: = 6 5
=$18,000

7. Bar Diagram
Example 4: Born to Ride
A motorcycle dealer took in a motorcycle and for $15,000 and marked it up by of the price on his lot. What is the retail price at the dealership?
Markup
$3000
$3000
$3000
$3000
$3000
$3000
Original
$𝟏𝟓,𝟎𝟎𝟎÷𝟓 = $𝟑𝟎𝟎𝟎
$𝟏𝟓,𝟎𝟎𝟎+$𝟑𝟎𝟎𝟎=$𝟏𝟖,𝟎𝟎𝟎

8. You Try:
Example 5: Shopping
A store buys a pair of jeans at wholesale for $31. They mark it up by of the price. What is the retail price of the jeans?
Hint: Markup price = original price + rate × original price OR (1 + rate) × original price
Method one: = =$$46.50
𝐌𝐞𝐭𝐡𝐨𝐝 𝐭𝐰𝐨: = 3 2
=$46.50

9. Bar Diagram
Example 4: Born to Ride
A store buys a pair of jeans at wholesale for $31. They mark it up by of the price. What is the retail price of the jeans?
Markup
$15.50
$15.50
$15.50
Original
$𝟑𝟏÷𝟐= $𝟏𝟓.𝟓𝟎
$𝟑𝟏+$𝟏𝟓.𝟓𝟎=$𝟒𝟔.𝟓𝟎

10. Practice:
Markup and Markdown worksheet