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Commission and Sales Tax - Learn to Calculate Percentages

Discover how to calculate commission and sales tax percentages in various scenarios. Learn how to find the commission amount and total pay based on the commission rate. Also, learn how to calculate the sales tax amount on purchases. Homework included.

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Commission and Sales Tax - Learn to Calculate Percentages

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  1. 8-6 Applications of Percents Course 3 Warm Up Change to a decimal 1.20% 2. 45% 3. 151% 4. 2% .2 .45 1.51 .02

  2. 8-6 Applications of Percents Course 3 Learn to find commission and sales tax.

  3. 8-6 Applications of Percents Course 3 Real estate agents 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 agents are paid a commission plus a regular salary. The total pay is a percent of the sales they make plus a salary. commission = commission ratesales

  4. 8-6 Applications of Percents Course 3 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 = ccommission rate sales = commission

  5. 8-6 Applications of Percents Course 3 Additional Example 1 Continued 0.04  65,000 = cChange the percent to a decimal. 2600 = cSolve 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.

  6. 8-6 Applications of Percents Course 3 Try This: 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

  7. 8-6 Applications of Percents Course 3 Try This: Example 1 Continued 0.05  50,000 = cChange 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. $2500 + $700 = $3200 commission + salary = total pay Her total pay for last month was $3200.

  8. Try this one Alice earns a monthly salary of $315 plus a commission on her total sales. Last month her total sales were $9640, and she earned a total of $1182.60. What was her commission rate? Substitute into our formula what we know then solve for the missing variable

  9. 8-6 Applications of Percents Course 3 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. When using our percent proportion the rate is the % and the amount is the part.

  10. 8-6 Applications of Percents CD: 2 at $16.99 $33.98 DVD: 1 at $36.29 $36.29 Course 3 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? $70.27 Total Price 0.0675 70.27 = 4.743225 Convert tax rate to a decimal and multiply by the total price. Adrian would pay $4.74 in sales tax.

  11. 8-6 Applications of Percents Course 3 Insert Lesson Title Here Try This: Example 2 Amy rents a hotel for $45 per night. She rents 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 = $11.70 Convert tax rate to a decimal and multiply by the total price. Amy spent $11.70 on sales tax.

  12. 8-6 Applications of Percents = sDivide each side by 0.12. 960 0.12 Course 3 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? Solve by equation: 960 = 0.12 sLet s = total sales. The associate’s sales in May were $8000.

  13. 8-6 Applications of Percents = sDivide each side by 0.07. 770 0.07 Course 3 Try This: 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? Solve by equation: 770 = 0.07 sLet s represent total sales. The associate’s sales in May were $11,000.

  14. Homework p426: 1,2,5,6,15

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