Question

these salespeople are paid a minimum monthly salary or commission, whichever is greater. find the (a) monthly commission and (b) gross pay.

1. moser, isabel: minimum monthly salary $2,100, total monthly sales $28,000, commission rate 8.0%, find a. monthly commission, b. gross pay
2. zinn, paolo: minimum monthly salary 1,600, total monthly sales 23,000, commission rate 6.5, find a. monthly commission, b. gross pay
3. schwartz, byron: minimum monthly salary 3,140, total monthly sales 31,000, commission rate 9.25, find a. monthly commission, b. gross pay
4. flores, yvette: minimum monthly salary 850, total monthly sales 10,000, commission rate 3.5, find a. monthly commission, b. gross pay
5. barksdale, dewanda: minimum monthly salary 3,410, total monthly sales 29,100, commission rate 12.1, find a. monthly commission, b. gross pay
6. roger tong earns 3% commission on sales of $9,500 as an electrical supplies wholesaler. what is his commission?
7. sam taylor earns 6½% commission on sales of $4,226 as an advertising agent. what is his commission?
8. some jobs pay a commission plus a bonus at the end of the year. the bonus may be a percent of the salesperson’s total commission. madelyn carr is a sales representative for a luxury home builder. she receives 7% commission on all sales. at the end of the year, she receives a bonus of 5% of her commission. (a) what is her gross pay for a year in which she had sales totaling $412,454? (b) what would madelyn’s gross pay be if her sales were $316,250?
9. algebra lou harris is guaranteed a minimum $275 weekly salary plus 5¼% of his total sales. what are his total sales for a week in which his gross pay was $700?
10. algebra caitlin grasso is a salesperson in the kitchen and bath department at morris supplies, inc. she is guaranteed a minimum salary of $200 per week plus 5.5% of her total sales. what are her total sales for a week in which her gross pay was $560?

spiral review
write each as a decimal. (skill 14)

1. 5½
2. 6¾
3. 9¼

find the percentage of each and round to the nearest cent if necessary. (skill 30)

1. 4% of $1,250
2. 8½% of $4,300
3. 7¼% of $8,200
4. 9.2% of $3,600
5. 7.3% of $120
6. 8.92% of $1,380
7. tate kelly is a teacher whose biweekly salary is $2,231.23. what are his gross (a) annual and (b) monthly salaries? (lesson 1.5)
8. you earn $8.25 per hour and work 34 hours this week. what is your straight - time gross pay? (lesson 1.1)

get ready for the next lesson
prerequisite skill finding the percentage (skill 30)
find the percentage of each.

1. 5.75% of $6,000
2. 0.5% of 60
3. 16⅔% of $3,000
4. ¼% of 25

Explanation:

Problems 12-16

Step1: Calculate monthly commission

Monthly Commission = Total Monthly Sales × (Commission Rate ÷ 100)

Step2: Compare to min salary, pick greater

Gross Pay = max(Minimum Monthly Salary, Monthly Commission)

Problem 12: Moser, Isabel

Step1: Compute commission

$\$28,000 \times 0.08 = \$2,240$

Step2: Select higher pay

$\max(\$2,100, \$2,240) = \$2,240$

Step1: Calculate commission

Commission = Sales × Commission Rate

Step1: Compute commission

$\$9,500 \times 0.03 = \$285$

Step1: Convert mixed percent to decimal

$6\frac{1}{2}\% = 0.065$

Step2: Calculate commission

Commission = Sales × Decimal Rate

Step1: Convert percentage

$6\frac{1}{2}\% = 0.065$

Step2: Compute commission

$\$4,226 \times 0.065 = \$274.69$

Answer:

a. $\$2,240$
b. $\$2,240$

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Problem 13: Zinn, Paolo

Step1: Compute commission

$\$23,000 \times 0.065 = \$1,495$

Step2: Select higher pay

$\max(\$1,600, \$1,495) = \$1,600$