
Discount and
Sale Price 

Unit 10 > Lesson 2 of 9 
Problem: 
In a video store, a DVD that sells for $15 is marked "10%
off." What is the discount? What is the sale price of the DVD? 


Analysis: 
Stores often sell goods for a discounted price. Typically,
a store will discount an item by a
percent
of the
original price. In this problem, an item that originally costs $15 is
being discounted by 10%. So "10% off" refers to the rate of discount. To
solve this problem, we need a procedure.

Procedure:
 The rate is usually given as a percent.
 To find the discount, multiply the rate by the original price.
 To find the sale price, subtract the discount from original price.
Now that we have a procedure, we can solve the problem above.
Let's take a look at some more examples of calculating discount and sale price.

In Example 3, note that the discount and the sale price are the same amount! Do
you know what fraction is equal to 50%? Could you have done this problem using
mental math? The phrase, "50% off," is the same as, "1/2 off". So using mental
math, you would get that onehalf of $5.00 is $2.50. Let's look at another
example that uses a fraction.

Once again, you could calculate the discount and sale price using mental math.
Let's look at another way of calculating the sale price of an item. Below is a
modified version of the problem from the top of this page.

Example 5: 
In a video store, a DVD that sells for $15 is marked, "10%
off." What is the sale price of the DVD? 

Solution: 
The rate is 10%. Thus, the customer is paying 90% for the
DVD. 

The sale price is: 0.90 x $15.00 = $13.50 

Answer: 
The sale price is $13.50. 
Note that we calculated the sale price in the above problem, but we did not
calculate the discount.

Summary: 
Stores often sell goods for a discounted price. Typically, a store will
discount an item by a percent of the original price. The rate of discount is
usually given as a percent, but may also be given as a fraction. The phrases
used for discounted items include, "
off," "Save 50%," and "Get a 20% discount."
Procedure:
 To calculate the discount, multiply the rate by the original price.
 To calculate the sale price, subtract the discount from original price.

Exercises
Directions: Solve each problem below by entering a dollar amount with cents. For
each exercise below, click once in the ANSWER BOX, type in your answer and then
click ENTER. After you click ENTER, a message will appear in the RESULTS BOX to
indicate whether your answer is correct or incorrect. To start over, click
CLEAR.

1.

In a boutique, a $14 scarf is marked, "20% off." What is the
sale price of the scarf?

2.

In an electronics store, a $75 iPod is labeled, "Save 15%." What
is the sale price of the iPod?

3.

What is the discount for the iPod in Exercise 2?

4.

A $30 shirt is marked, "Get
off." What is the sale price of the shirt?

5.

In a bicycle store, a $500 bicycle is marked, "Get a 30% discount."
What is the sale price of the bicycle?

This lesson is by Gisele Glosser. You can find me on Google.
