Main Idea and New Vocabulary

NGSSS

Example 1:Find the Sale Price

Example 2: Find the Selling Price

Example 3: Find the Total Cost

Five-Minute Check

• Apply percents to find discount, markup, and sales tax.

• discount

• markup

• selling price

• sales tax

MA.8.A.6.4 Perform operations on real numbers (including integer exponents, radicals percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.

Find the Sale Price

SHOPPING The regular price for a computer is $1,200. This week, it is on sale for 30% off. What is the sale price?

Method 1 Find the amount of the discount first.

The percent is 30%, and the whole is 1,200. We need to find the amount of the discount, or the part. Let d represent the amount of discount.

d = 0.30 ● 1,200 Write the percent equation.

d = 360 Multiply.

Subtract the amount of the discount from the original price to find the sale price. $1,200 – $360 = $840

Find the Sale Price

Answer: The sale price of the computer is $840.

Method 2 Find the percent paid first.

If the amount of the discount is 30%, the percent paid is 100% – 30% or 70%. Find 70% of $1,200. Let s represent the sale price.

s = 0.70 ● 1,200 Write the percent equation.

s = 840 Multiply.

A. $50

B. $200

C. $225

D. $230

SHOPPING The regular price for a video game system is $250. This week, it is on sale for 20% off. What is the sale price?

CLOTHING The wholesale cost for shirts bought by a sporting goods store is $20 per shirt. The shirts will be marked up 40%. What will be the selling price?

Find the Selling Price

Method 1 Find the amount of the markup first.

The whole is $20. The percent is 40%. You need to find the amount of the markup, or the part. Let m represent the amount of the markup.

m = 0.40 ● 20 Write the percent equation.

m = 8 Multiply.

Add the markup $8 to the store’s cost $20 to find the selling price. $8 + $20 = $28

Find the Selling Price

Method 2 Find the total percent first.

The customer will pay 100% of the store’s cost plus an extra 40% of the cost. Find 100% + 40% or 140% of the store’s cost. Let p represent the price.

p = 1.40 ● 20 Write the percent equation.

p = 28 Multiply.

Answer: The selling price of the shirts is $28.

A. $1.69

B. $2.95

C. $3.51

D. $3.95

PETS The wholesale cost for guinea pig treats is $2.60 per box. The treats will be marked up 35% at the store. What will be the selling price?

Find the Total Cost

MUSIC A stereo that costs $120 is on sale for 12% off with a sales tax of 6.5%. What is the total cost of the stereo?

Step 1 Find the price of the stereo after the discount.

Let d represent the total discount.

part = percent ● whole

d= 0.12 ● 120 Write the percent equation.

d= 14.4 Multiply.

Find the Total Cost

Subtract the discount from the original price to find the sale price.

$120 – $14.40 = $105.60

Step 2 Find the amount of the sales tax.

Let t represent the sales tax.

part = percent ● whole

t = 0.065 ● 105.60 Write the percent equation.

t 6.86 Multiply.

Find the Total Cost

Answer: The total cost of the stereo is $112.46.

Add the sales tax to the sale price to find the total price.

$105.60 + $6.86 = $112.46

A. $190.00

B. $203.30

C. $208.65

D. $214.00

ENTERTAINMENT A trampoline that costs $200 is on sale for 5% off with a sales tax of 7%. What is the total cost of the trampoline?

A. $87.50

B. $262.50

C. $325.00

D. $437.50

A $350 grill is on sale for 25% off the original price. Find the sale price.

A. $270.00

B. $1,530.00

C. $1,620.00

D. $1,785.00

Find the sale price of a television that is regularly $1,800 and is on sale for 15% off the original price.

A. $19.50

B. $45.50

C. $84.50

D. $95.00

Find the selling price for the book given the percent of markup.book: $65, 30% markup

A. $18.00

B. $102.00

C. $135.00

D. $138.00

Find the selling price for the lamp given the percent of markup.lamp: $120, 15% markup

A. $9.80

B. $18.20

C. $20.20

D. $65.00

Find the amount of discount for a $28 shirt that is on sale for 65% off the original price.