# Applications of Percents 6-5. Vocabulary Commission- a fee paid to a person who makes a sale. Commission rate- a percent of the selling price.

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Applications of Percents 6-5

Vocabulary Commission- a fee paid to a person who makes a sale. Commission rate- a percent of the selling price.

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? Additional Example 1: Multiplying by Percents to Find Commission Amounts First find his commission. 4%  \$65,000 = ccommission rate  sales = commission

0.04  65,000 = c Change the percent to a decimal. Additional Example 1 Continued 2600 = c Solve for c. He earned a commission of \$2600 on the sale. Now find his total pay for last month. \$2600 + \$900 = \$3500 commission + salary = total pay. His total pay for last month was \$3500.

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? Check It Out: Example 1

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.

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? Additional Example 2: Multiplying by Percents to Find Sales Tax Amounts CD: 2 at \$16.99\$33.98 DVD: 1 at \$36.29 \$36.29 \$70.27Total Price 0.0675  70.27 = 4.743225Write the tax rate as a decimal and multiply by the total price. Adrian would pay \$4.74 in sales tax.

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?

Anna earns \$1500 monthly. Of that, \$114.75 is withheld for Social Security and Medicare. What percent of Anna’s earnings are withheld for Social Security and Medicare? Additional Example 3: Using Proportions to Find the Percent of Earnings Think: What percent of \$1500 is \$114.75? Set up a proportion. 114.75 1500 n 100 = n  1500 = 100  114.75 Find the cross products.

Additional Example 3 Continued n = 7.65 7.65% of Anna’s earnings is withheld for Social Security and Medicare. 11,475 1500 n = 1500n = 11,475 Divide both sides by 1500. Simplify.

BJ earns \$2500 monthly. Of that, \$500 is withheld for income tax. What percent of BJ’s earnings are withheld for income tax? Check It Out: Example 3 Think: What percent of \$2500 is \$500?

A furniture sales associate earned \$960 in commission in May. If his commission is 12% of sales, how much were his sales in May? Additional Example 4: Dividing by Percents to Find Total Sales Think: \$960 is 12% of what number? Let s = total sales 960 = 0.12  sSet up an equation. 960 0.12 = s Divide each side by 0.12. 8000 = s The associate’s sales in May were \$8000. Simplify.

A sales associate earned \$770 in commission in May. If his commission is 7% of sales, how much were his sales in May? Check It Out: Example 4 Think: \$770 is 7% of what number?

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