7th Grade Markup and Discount

Lesson

Percent of Change

The percent of change is the amount of change divided by the original amount.

Percent of change = amount of change

original amount

Let’s try to find the percent of increase!

Find the percent of increase from 4 to 7.5

Let’s try to find the percent of increase!

Find the percent of increase from 4 to 7.5

subtract to find the amount of increase 7.5 - 4 = 3.5

Use the ratio Percent of increase = amount of change(or increase)

original amount 3.5 =0.875 (move the dec. 2 places to the rt. to change a decimal to a %)=

87.5% 4

the percent of increase from 4 to 7.5 is 87.5%

subtract to find the amount of increase 7.5 - 4 = 3.5

Use the ratio Percent of increase = amount of change(or increase)

original amount 3.5 =0.875 (move the dec. 2 places to the rt. to change a decimal to a %)=

87.5% 4

the percent of increase from 4 to 7.5 is 87.5%

Practice Examples

Find the percent of increase.

1. From 100 to 114

2. From 2.0 to 3.2

3. From 4,000 to 8,500

Show your work on the handout. You may use a calculator to work these problems. Check your answers on the next slide.

Practice Examples

Find the percent of increase.

1. From 100 to 114 Answer 14%

2. From 2.0 to 3.2 Answer 60%

3. From 4,000 to 8,500Answer 112.5%

Let’s try to find the percent of decrease!

Find the percent of decrease from 1500 to 1416.

Let’s try to find the percent of decrease!

Find the percent of decrease from 1500 to 1416.

subtract to find the amount of decrease 1500 - 1416 = 84

Use the ratio Percent of decrease = amount of change(or decrease)

original amount 84 = 0.056 = 5.6% 1500

the percent of decrease from 1500 to 1416 is 5.6%

subtract to find the amount of decrease 1500 - 1416 = 84

Use the ratio Percent of decrease = amount of change(or decrease)

original amount 84 = 0.056 = 5.6% 1500

the percent of decrease from 1500 to 1416 is 5.6%

Practice Examples

Find the percent of decrease. Round your answer to the nearest tenth.

1. From 9.62 to 4.8

2. From 200 to 192

Show your work on the handout. You may use a calculator to work these problems. Check your answers on the next slide.

Practice ExamplesYour answers should be rounded to the nearest tenth.

1. From 9.62 to 4.8 answer 50%

2. From 200 to 192 answer 4%

Word Problem

A computer that cost $875 last year, costs $735 this year. Find the percent of decrease.

Show your work on the handout. You may use a calculator to work these problems. Check your answers on the next slide.

Word Problem

A computer that costs $875 last year costs $735 this year. Find the percent of decrease.

Answer: 875 - 735 = 140

140 = .16 = 16% 875

Markup and Discount

is percent of increase and percent of decrease

To make a profit - To make a profit -

Stores charge more for merchandise than what they pay for it.

MARKUP is the amount of increase.

PERCENT OF MARKUP is the percent of increase.

Stores charge more for merchandise than what they pay for it.

MARKUP is the amount of increase.

PERCENT OF MARKUP is the percent of increase.

Find the Markup

• A music store’s percent of markup is 67%. A CD costs the store $10.50. Find the markup and the stores sales price.

markup = percent of markup x store’s costmarkup = .67 x 10.50 = 7.04markup = $7.04Sales price of the CD = 10.50 + 7.04 = $17.54

Now you try!Now you try!

A clothing store pays $56 for a raincoat. The stores percent of markup is 55%. Find the markup for the raincoat and

the sales price.

Show your work on the handout. You may use a calculator to work these problems. Check your answers on the next

slide.

A clothing store pays $56 for a raincoat. The stores percent of markup is 55%. Find the markup for the raincoat and

the sales price.

Show your work on the handout. You may use a calculator to work these problems. Check your answers on the next

slide.

A clothing store pays $56 for a raincoat. The stores percent of markup is 55%. Find the markup for the raincoat and the sales price.

markup = percent of markup x store’s costmarkup = .55 x 56 = 30.80markup = $30.80Sales price of the raincoat = 56 +30.80 = $86.80

Store DiscountStore DiscountStores offer a percent off the original sales

price - this is a discount!

DISCOUNT is the amount of decrease.

PERCENT OF DISCOUNT is the percent of decrease.

Stores offer a percent off the original sales price - this is a discount!

DISCOUNT is the amount of decrease.

PERCENT OF DISCOUNT is the percent of decrease.

Word ProblemA surf shop is having a surfboard sale. All

boards will have a 25% discount off the original price for one day. Find the

amount of discount and the new sales price after the discount on a surfboard

that costs $495.

discount = percent of discount x store’s original pricediscount = .25 x 495 = 123.75

discount = $123.75Discount price of the jacket = 495 - 123.75 =

$371.25

Now you try!

School is starting and an office supply store is offering a 15% discount on all school supplies. Find the

amount of discount and the new sales price after the discount on a 64 count box of 64 crayons that

originally costs $3.60.

Show your work on the handout. You may use a calculator to work these problems. Check your answers on the next slide.

School is starting and an office supply store is offering a 15% discount on all school supplies. Find the

amount of discount and the new sales price after the discount on a 64 count box of crayons that originally

costs $3.60.

discount = percent of discount x store’s original pricediscount = .15 x 3.60 = .54

discount = $ .54Discount price of the jacket = 3.60 - .54 = $3.06

Now it’s time to learn about the advertising business.

You and a partner will be given a product to advertise and

sell.