Write the percent formula.Write the percent formula.percent x whole = partpercent x whole = part

ExerciseExercise

What is 24% of 250?What is 24% of 250? 6060ExerciseExercise

A merchant buys an item for $50 and sells it for $60. What is his markup rate?

A merchant buys an item for $50 and sells it for $60. What is his markup rate? 20%20%

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A merchant uses a markup rate of 12%. If he sells an item for $28, what was his cost?

A merchant uses a markup rate of 12%. If he sells an item for $28, what was his cost?

$25$25

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If a 5” x 7” photo is enlarged to 120%, what will the new dimensions be?

If a 5” x 7” photo is enlarged to 120%, what will the new dimensions be? 6” x 8.4”6” x 8.4”

ExerciseExercise

Commission – percent of a sale that is the salesperson’s salary

Commission – percent of a sale that is the salesperson’s salary

Earnings – dollars of a sale that are the salesperson’s salary

Earnings – dollars of a sale that are the salesperson’s salary

Find the earnings if the commission is 7% and the amount of sales is $3,750.

Find the earnings if the commission is 7% and the amount of sales is $3,750.

The earnings on the sales are $262.50.

The earnings on the sales are $262.50.

earnings = commission × salesearnings = commission × sales= 0.07(3,750)= 0.07(3,750)= 262.50= 262.50

Example 1Example 1

Find the commission if $3,000 in sales earns a salesperson $270.

Find the commission if $3,000 in sales earns a salesperson $270.

The commission is 9%.The commission is 9%.

commission × sales = earningscommission × sales = earnings3,000c = 2703,000c = 2703,0003,000 3,0003,000

c = 0.09c = 0.09

Example 2Example 2

Miss Kay receives a 6% commission for selling houses. If she earned $8,340 for the sale of a house, how much did the house sell for?

Miss Kay receives a 6% commission for selling houses. If she earned $8,340 for the sale of a house, how much did the house sell for?

The house sold for $139,000.The house sold for $139,000.

commission × sales = earningscommission × sales = earnings0.06s = 8,3400.06s = 8,3400.060.06 0.060.06

s = 139,000s = 139,000

Example 3Example 3

Find the earnings if a person gets 6% commission on sales of $5,500.

Find the earnings if a person gets 6% commission on sales of $5,500. $330$330

ExampleExample

Find the commission if a salesperson gets paid $500 on sales of $4,000.

Find the commission if a salesperson gets paid $500 on sales of $4,000. 12.5%12.5%

ExampleExample

Find the sales if the commission is 8% and a salesperson earned $400.

Find the sales if the commission is 8% and a salesperson earned $400.

$5,000$5,000

ExampleExample

If a car salesperson gets 40% of the profit, how much did she earn if she sold a car that cost the dealership $21,300 for $25,500?

If a car salesperson gets 40% of the profit, how much did she earn if she sold a car that cost the dealership $21,300 for $25,500? $1,680$1,680

ExampleExample

Tip – income paid for a personal serviceTip – income paid for a personal service

tip = percent × total billtip = percent × total bill

How much of a tip should you leave at a restaurant if your bill is $34.75 and you want to leave a 15% tip? Round to the nearest nickel.

How much of a tip should you leave at a restaurant if your bill is $34.75 and you want to leave a 15% tip? Round to the nearest nickel.

≈ $5.20≈ $5.20

tip = percent x total billtip = percent x total bill= 0.15(34.75)= 0.15(34.75)= 5.2125= 5.2125

Example 4Example 4

A hairdresser gave a $55 perm and received a $10 tip. What percent did she receive? Round to the nearest percent.

A hairdresser gave a $55 perm and received a $10 tip. What percent did she receive? Round to the nearest percent.

The hairdresser received about an 18% tip.

The hairdresser received about an 18% tip.

percent × total bill = tippercent × total bill = tip55p = 1055p = 105555 5555

p = 0.18p = 0.18 ≈ 0.18≈ 0.18

Example 5Example 5

What percent did a waiter receive if he got a $5 tip on a $18.50 meal (to nearest percent)?

What percent did a waiter receive if he got a $5 tip on a $18.50 meal (to nearest percent)? 27%27%

ExampleExample

How much, assuming a 15% rate, should someone tip a pizza delivery boy on four pizzas costing a total of $30?

How much, assuming a 15% rate, should someone tip a pizza delivery boy on four pizzas costing a total of $30?

$4.50$4.50

ExampleExample

How much should someone tip a waitress on a meal of $42.50, assuming the tip is 15% (to the nearest quarter)?

How much should someone tip a waitress on a meal of $42.50, assuming the tip is 15% (to the nearest quarter)?

$6.50$6.50

ExampleExample

How much per hour can a barber make if he is paid a 25% commission and can do four haircuts in an hour? Haircuts cost $15 and customers leave a 15% tip.

How much per hour can a barber make if he is paid a 25% commission and can do four haircuts in an hour? Haircuts cost $15 and customers leave a 15% tip.

$24$24

ExampleExample

What is the actual cost of a $10 meal if you assume tax at 8% and a tip of 15% paid on the total price of the meal (which includes tax)?

What is the actual cost of a $10 meal if you assume tax at 8% and a tip of 15% paid on the total price of the meal (which includes tax)? $12.42$12.42

ExampleExample

If a waitress gets $3/hr. and hopes to get 15% tips, how much can she make in a week? She works 4 hr. for lunch and 4 hr. for dinner for 6 days. She can expect about 50 customers for lunch, with the average cost of lunch being $7.50, and about 20 customers for dinner, with the average cost being $35.

If a waitress gets $3/hr. and hopes to get 15% tips, how much can she make in a week? She works 4 hr. for lunch and 4 hr. for dinner for 6 days. She can expect about 50 customers for lunch, with the average cost of lunch being $7.50, and about 20 customers for dinner, with the average cost being $35.

$1,111.50$1,111.50

ExampleExample

Percent equation percent x whole = part

Discount equation x =

Markup equation x =

Commission equation x =

Tip equation x =