Percent - XYZ Custom Plus

330Chapter 5 Percent3. Suppose the purchase price oftwo speakers is $197 and thesales tax is $11.82. What is thesales tax rate?Example 3Suppose the purchase price of a stereo system is $396 andthe sales tax is $19.80. What is the sales tax rate?Solution We restate the problem as:$19.80 is what percent of $396?g g19.80 = n ⋅ 396To solve this equation, we divide both sides by 396:The sales tax rate is 5%.gm888888888m88888888_​ 19.80 ​= ​n_ ⋅ ​ 396​​ Divide both sides by 396396 ​ 396​n = ​_19.80 ​ Switch the left and right396sides of the equationn = 0.05 Dividen = 5% 0.05 = 5%Instructor NoteAs was the case with sales tax andsales tax rate, students have a tendencyto confuse commission andcommission rate.B CommissionMany salespeople work on a commission basis. That is, their earnings are a percentageof the amount they sell. The commission rate is a percent, and the actualcommission they receive is a dollar amount.4. A real estate agent gets 3% ofthe price of each house shesells. If she sells a house for$115,000, how much moneydoes she earn?Example 4A real estate agent gets 3% of the price of each house shesells. If she sells a house for $289,500, how much money does she earn?Solution The commission is 3% of the price of the house, which is $289,500.We restate the problem as:What is 3% of $289,500?gn = 0.03 ⋅ 289,500n = 8,685The commission is $8,685.gg g g5. An appliance salesperson’scommission rate is 10%. If thecommission on one of the ovensis $115, what is the purchaseprice of the oven?Example 5Suppose a car salesperson’s commission rate is 12%. If thecommission on one of the cars is $1,836, what is the purchase price of the car?Solution12% of the sales price is $1,836. The problem can be restated as:12% of what number is $1,836?888n 8888n88nm888m880.12 ⋅ n = 1,836​_0.12​⋅ ​ n​= ​_1,836 ​ Divide both sides by 0.12​ 0.12​ 0.12n = 15,300The car sells for $15,300.Answers3. 6% 4. $3,450 5. $1,150