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**Learn to find commission, sales tax, and percent of earnings.**

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Vocabulary commission commission rate

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**Salespeople often work for commission**

Salespeople often work for commission. A 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. Often salespeople are paid a commission plus a regular salary. The total pay is a percent of the sales they make plus a salary. commission rate sales = commission

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**Additional Example 1: Multiplying by Percents to Find Commission Amounts**

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 commission rate sales = commission

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**Additional Example 1 Continued**

0.04 65,000 = c Change the percent to a decimal. 2600 = c Solve for c. He earned a commission of $2600 on the sale. Now find his total pay for last month. $ $900 = $ commission + salary = total pay. His total pay for last month was $3500.

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Check It Out: Example 1 A car sales agent is paid a monthly salary of $700 plus commission. Last month she sold one sports car for $50,000, earning a 5% commission on the sale. How much was her commission? What was her total pay last month? First find her commission. 5% $50,000 = c commission rate sales = commission

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**Check It Out: Example 1 Continued**

0.05 50,000 = c Change the percent to a decimal. 2500 = c Solve for c. The agent earned a commission of $2500 on the sale. Now find her total pay for last month. $ $700 = $ commission + salary = total pay. Her total pay for last month was $3200.

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**Sales tax is the tax on the sale of an item or service**

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.

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**Additional Example 2: Multiplying by Percents to Find Sales Tax Amounts**

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? CD: 2 at $ $33.98 DVD: 1 at $ $36.29 $70.27 Total Price = Write the tax rate as a decimal and multiply by the total price. Adrian would pay $4.74 in sales tax.

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Check It Out: Example 2 Amy stays in a hotel for $45 per night. She stays for two nights and pays a sales tax of 13%. How much tax did she pay? $45 2 = $90 Find the total price for the hotel stay. $90 0.13 = $ Write the tax rate as a decimal and multiply by the total price. Amy spent $11.70 on sales tax.

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**Additional Example 3: Using Proportions to Find the Percent of Earnings**

Anna earns $1500 monthly. Of that, $ is withheld for Social Security and Medicare. What percent of Anna’s earnings are withheld for Social Security and Medicare? Think: What percent of $1500 is $114.75? 114.75 1500 n 100 = Set up a proportion. n 1500 = 100 Find the cross products.

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**Additional Example 3 Continued**

1500n = 11, Divide both sides by 1500. 11,475 1500 n = n = 7.65 Simplify. 7.65% of Anna’s earnings is withheld for Social Security and Medicare.

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Check It Out: Example 3 BJ earns $2500 monthly. Of that, $500 is withheld for income tax. What percent of BJ’s earnings are withheld for income tax? Think: What percent of $2500 is $500? 500 2500 n 100 = Set up a proportion. n 2500 = 100 500 Find the cross products.

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**Check It Out: Example 3 Continued**

2500n = 50, Divide both sides by 2500. 50000 2500 n = n = 20 Simplify. 20% of BJ’s earnings are withheld for income tax.

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**Additional Example 4: Dividing by Percents to Find Total Sales**

A furniture sales associate earned $960 in commission in May. If his commission is 12% of sales, how much were his sales in May? Think: $960 is 12% of what number? Let s = total sales 960 = 0.12 s Set up an equation. 960 0.12 = s Divide each side by 0.12. 8000 = s Simplify. The associate’s sales in May were $8000.

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Check It Out: Example 4 A sales associate earned $770 in commission in May. If his commission is 7% of sales, how much were his sales in May? Think: $770 is 7% of what number? Let s represent total sales 770 = 0.07 s Set up an equation. 770 0.07 = s Divide each side by 0.07. 11,000 = s Simplify. The associate’s sales in May were $11,000.

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Lesson Quiz: Part I 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? $ $21.15 11.3%

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Lesson Quiz: Part II 4. If you earn a 4% commission, how much would your total sales have to be to make a commission of $115? $2875

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