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

Chapter 8Lesson 5

Sales Tax and Discount

Objective: Solve problems involving sales tax and discount

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

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

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

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.

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

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 %?

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

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.

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.

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

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

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.

Write the equation.

Divide each side by 86 and simplify.

Answer: The percent of discount is 30%.

FURNITURE A rocking chair with an original price of $375 is on sale for $318.75. What is the percent of discount?

Answer: 15%