Warm Up

1
Warm Up
Warm Up Estimate. 1. 20 of 602 2. 133 out of
264 3. 151 of 78 4. 42 out of 150
Possible answers
120
50
120
28
2
Commission, tax, and profit

• Section 6.6

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Objectives

• Convert fractions to decimals and percents, and
  use them in estimations, computations, and
  applications. (NS 1.3)
• Solve problems that involve sales tax,
  commissions, and tips. (NS 1.7)

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Words to know
commission is a fee paid to a person who
makes a sale. It is usually a percent of
the selling price. This
percent is called the commission
rate. commission rate ? sales commission
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Words to know
Sales tax is the tax on the sale of an item
or service. It is a percent of the
purchase price and is collected by
the seller.
6
Lets review.Finding a percent of a number

• 36 of 825
• .36 of 825
• .36 825
• 297

x

• Steps
• Rewrite 36 as a decimal.
• of means multiply
• Multiply decimal and number.

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Finding Commission

• Your family is selling your house for 160,000.
  The realtor charges 6. How much will the
  realtors commission be?
• 6of 160.000 6 160000 6 1600
• 100
• Realtors commission 9,600

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Finding Commission part 1
A real-estate agent is paid a monthly salary of
900 plus commission. Last month he sold one
condominium for 65,000, earning a 4 commission
on the sale. How much was his commission? What
was his total pay last month?
First find his commission.
4 ? 65,000 c
0.04 ? 65,000 c Change the percent
to a decimal.
2600 c Solve for c.
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Finding Commission part 2
A real-estate agent is paid a monthly salary of
900 plus commission. Last month he sold one
condominium for 65,000, earning a 4 commission
on the sale. How much was his commission? What
was his total pay last month?
He earned a commission of 2600 on the sale. Now
find his total pay for last month.
2600 900 3500
His total pay for last month was 3500.
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Summaryto change a percent to a decimal, move
the decimal two place to your left.EX 35 0.35
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Finding the Sales Tax

• The sales tax rate where you live is 8.5 . Your
  family is buying a car for 28,540. What is the
  total cost of the car?
• Find the sales tax
• 8.5 of 28,540
• .085 28540 2,425.90
• Add sales tax to cost of the car.
• 28,540 2,425.90 30,965.90

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Finding the Sales Tax
If the sales tax rate is 6.75, how much tax
would Adrian pay if he bought two CDs at 16.99
each and one DVD for 36.29?
Total Price
70.27
Sales tax 0.0675 ? 70.27 4.743225
Adrian would pay 4.74 in sales tax.
13
Estimating to Find Tips

• You and a friend go to lunch. The check comes
  to 25.00. Find the amount of a 15 tip for
  service.
• 15 of 25
• .15 25 3.75

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Finding Profit
A retail store earns 40 profit on all sales. If
total sales are 3320, what is the profit?
Think What is 40 of 3320?
x 0.40 ? 3320 Set up an equation.
x 1328
The profit is 1328.
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Finding Profit
A furniture store earns 40 profit on all sales.
If the store earns 5,680, how much are the total
sales?
Think 5,680 is 40 of what number?
Let s total sales
5,680 0.40 ? s
14,200 s
The total sales are 14,200.
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Lesson Quiz
1.Every month, Gillian makes 1600 plus an 8.9
commission on sales. If her sales last month
totaled 18,400, what was her total pay? 2.
The sales tax is 5.75, and the shirt costs 20.
What is the total cost of the shirt? 3. Sheridan
has a yearly income of 39,650, and he is
advised to invest 4500 every year. What percent
of his income should he invest, to the nearest
tenth of a percent?
3237.60
21.15
11.3
4. A grocery store earns 5 profit on all canned
goods. If the store sold 1635 of canned goods,
what was the profit?
81.75