&KDSWHU
7-11
Discount and Markup
Objective To find the amount of discount •To find the sale price •To find the discount rate
- To find the amount of markup •To find the markup rate
A store sells game tables for $188 each. This week, every
game table has a 25% discount. What is the sale price of
each game table?
To find the sale price, find the amount of the 25% discount,
and then subtract that amount from the original price.
A is the amount by which the regular or of
an item is reduced. The is the percent decrease
in the list price. The of an item is the difference
between its list price and the amount of discount.
Use an equation or a proportion to find the amount of discount.
Method 1 Write and Solve an Equation
discount discount rate • list price
Let Dthe amount of discount.
D25% • $188
D0.25• $188
D$47
Using either method, you find that the amount of discount is $47.
To find the sale price, subtract the amount of discount
from the list price: $188 $47 $141
So the sale price for each game table is $141.
You can find the discount rate of an item when you
know the list price and the sale price of that item.
The list price of racquetball rackets is $39. Now they are
on sale for $31.20. What is the discount rate of a racket?
discount rate
Let Rthe discount rate.
R
R
R0.220% Write the decimal as a percent.
So the discount rate for each racquetball racket is 20%.
Simplify. Divide the amount of discount, $7.80,
by the list price, $39.
$7.80
$39.00
Subtract the sale price from the
original price to find the amount
of discount.
$39.00 $31.20
$39.00
amount of discount
list price
Write 25% as a decimal,
then multiply.
Multiply the list price, $188,
by the discount rate, 25%.
sale price
discount rate
discount list price
Key Concept
Discount and Sale Price
discount discount rate • list price
sale price list price – discount
Method 2 Write and Solve a Proportion
100 D25 • $188
Divide both sides by 100.
D$47
4700
100
100 D
100
Substitute the known values,
then cross multiply.
25
100
D
$188
part
whole
discount rate (%)
100
discount (D)
list price (LP)
Key Concept
Discount Rate
discount rate amount of discountlist price
