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Do Now1. What number is 12% of 350?
2. 21 is what percent of 40?
3. 13 is 26% of what number?
Find the percent of change. Round to the nearest whole percent if necessary.
1. Original: 15
New: 18
2. Original: 12
New: 6
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Chapter 8Lesson 5
Sales Tax and Discount
Objective: Solve problems involving sales tax and discount
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We are going to do three things today!
1. Find the total cost of an item involving sales tax
2. Find the sale price of an item after a discount
3. Find what percent was given off after we have been given the original price and the final price
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What is Sales Tax and how is it related to your overall cost?
• A sales tax is a tax charged at the point of purchase for certain goods and services.
• 8.75% in NYS
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1. To find the total cost of an item. (Sales tax)
a.Multiply the original cost by the percent (change percent to a decimal)
b. add your answer from the original cost
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GOLF A set of golf balls sells for $20 and the sales tax is 5.75%. What is the total cost of the set?
First, find the sales tax.
Next, add the sales tax to the regular price.
Answer: The total cost of the set of golf balls is $21.15
The sales tax is $1.15.
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BOOKS A set of three paperback books sells for $35 and the sales tax is 7%. What is the total cost of the set?
Answer: $37.45
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Answer: $63.30
BOOTS What is the total cost of a pair of boots if the
regular price is $60 and the sales tax is %?
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2. Find the sales price(Discount price)
1. Multiply the cost by the discount percent.
2. Subtract the percentage off from the original price.
3. Answer is less then original price
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MULTIPLE-CHOICE TEST ITEM Whitney wants to buy a new coat that has a regular price of $185. This weekend, the coat is on sale at a 33% discount. What is the sale price of the coat?
A $61.05 B $123.95 C $152.00 D $246.05
Read the Test ItemThe sale price is $185 minus the discount.
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Solve the Test Item
First, find the amount of the discount d.
Use the percent equation.
The discount is $61.05.
part percent base
d 0.33 185
So, the sale price is $185 – $61.05 or $123.95.
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MULTIPLE-CHOICE TEST ITEM Alex wants to buy a DVD player that has a regular price of $175. This weekend, the DVD player is on sale at a 20% discount. What is the sale price of the DVD player?
A $135 B $145 C $162 D $140
Answer: D
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3. Find the Percent of Discount(same thing we did in 8-4)
a. Subtract the original price from the new price given
b. Use the percent equation to find the percent discount
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WATCHES A sports watch with an original price of $86 is on sale for $60.20. What is the percent of discount?First, find the amount of the discount.
Next, use the percent equation to find the percent discount.
Words
Variable
Equation
$25.80 is what percent of $86?
Let n represent the percent.
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Write the equation.
Divide each side by 86 and simplify.
Answer: The percent of discount is 30%.
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FURNITURE A rocking chair with an original price of $375 is on sale for $318.75. What is the percent of discount?
Answer: 15%