Percent Application: Finding a Sale Price Lesson Topic Index | Grade 8 Math | Intermediate Test Prep | StudyZone

 When finding the sale price of an item it is necessary to know the discount. A discount can be given in a couple of different ways.
 A shoe store may advertise that every pair of jeans is being discounted \$10.  In other words if a pair of jeans regularly sells for \$50, on sale it would now cost \$40 Another  store may advertise that all of their jeans are 50% off! Which sale is better?  Which store has the biggest discount?

Not a very difficult concept to understand.
However, more often than not, a store will give the discount as a percent number
This lesson will show you how to perform this very basic calculation.
Some people believe that the reason for giving a discount as a percent is that the store owners believe that most people don't really understand how a percent "works" and therefore they may be able to "trick" the customer into believing that they are saving more money than they actually are.
It certainly does require slightly more math ability to calculate a discount when it is given as a percent.  But with a little practice, it is a very valuable skill to be able to perform if you want to be a "smart shopper."

 For these problems we will use the following formula: Sale Price = Regular Price - Discount Amount* *To calculate the discount amount when it is given as a percent we will use this formula: Discount Amount = (Regular Price) x (Rate of Discount)

Example.....
A pair of skis is on sale at 20% off the regular price of \$389.  What is the sale price of these skis?
Solution:
Step 1:  Change the percent number to a decimal number:
20% = .20 (or just .2)
Step 2:  Multiply the regular price by the decimal number:
(389) x (.2)
\$77.80
Step 3: Subtract the discount amount from the regular price:
(389) - (77.80)
\$311.20
The sale price for the pair of skis is \$311.20

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Another example....
A suit that regularly sells for \$499.99 is on sale for 35% off.
How much will the customer save by buying the suit on sale?  What is the sale price of the suit?
Solution:
To find the Discount Amount:
Step 1: Change the percent to a decimal number:
35% = .35
Step 2:  Multiply the regular price by the decimal number:
(499.99) x (.35)
174.9965
We must round to the nearest hundredths (the pennies) place
174.9965 = 175.00
The customer would save \$175 by buying the suit on sale.
To Find the Sale Price:
Step 3: Sale Price = Regular Price - Discount Amount
Sale Price = (499.99) - (175.00)
\$324.99
The sale price of the suit is \$324.99
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Although the method for finding a sale price is normally done following the method described in the problems above, there is an alternate method for performing the same process which will be outlined in this example.
Megan bought a winter coat which regularly sells for \$185.
It had been marked "25% Off"
What was the sale price of the coat?
Alternate Method
Step 1: For this method it is necessary for the student
to understand that the regular price of the coat represents 100% of the cost of the coat.
Step2: If it is discounted 25%, then the sale price of the coat is equal to 100% - 25% or 75% of the original cost
of the coat.
Step 3: We can determine the sale price by simply converting the percent (75%) to a decimal number (.75) and multiplying it by the regular price (185).
(185) x (.75)
\$138.75
The sale price of the coat is \$138.75
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As you can see, either method will give you the sale price.  However, in many problems you will be required to find the discount amount.  For those problems you will need to follow the first method described above.

Got the idea?

For some more practice on your own....