Math Practice Online > free > lessons > Nevada > 9th grade > Commissions

These sample problems below for Commissions were generated by the MathScore.com engine.

## Sample Problems For Commissions

### Complexity=1, Mode=simple

Answer the following questions involving commission.
 1 Jennifer makes money by commission rates. She gets 13% of everything she sells. If Jennifer sold \$46000 worth of items this month, what is her salary for the month? 2 Peter makes money by commission rates. He gets 15% of everything he sells. If Peter sold \$28000 worth of items this month, what is his salary for the month?

### Complexity=1, Mode=withBase

Answer the following questions involving commission.
 1 John makes \$10000 a month plus some money by commission rates. He gets 3% of everything he sells. If John sold \$40000 worth of items this month, what is his salary for the month? 2 Miguel makes \$5000 a month plus some money by commission rates. He gets 8% of everything he sells. If Miguel sold \$53000 worth of items this month, what is his salary for the month?

### Complexity=1, Mode=earned

Answer the following questions involving commission.
 1 Maria makes a base monthly salary of \$3500. As a vendor, she must sell \$24000 worth of items per month. She also makes a 10% commission on all sales beyond the monthly quota. If Maria sold \$26400 worth of items this month, what is her total salary for the month including base salary and commission to the nearest dollar? 2 Mike makes a base monthly salary of \$3100. As a vendor, he must sell \$20000 worth of items per month. He also makes a 8% commission on all sales beyond the monthly quota. If Mike sold \$28000 worth of items this month, what is his total salary for the month including base salary and commission to the nearest dollar?

### Complexity=1, Mode=bonus

Answer the following questions involving commission.
 1 Mary makes a base monthly salary of \$3900. As a vendor, she must sell \$21000 worth of items per month. She also makes a 7% commission on all sales beyond the monthly quota. There is also an additional 5% bonus on top of the normal commission rate for any sales beyond \$27300. If Mary sold \$31500 worth of items this month, what is her total salary for the month including base salary and commission to the nearest dollar? 2 Jennifer makes a base monthly salary of \$2000. As a vendor, she must sell \$18000 worth of items per month. She also makes a 9% commission on all sales beyond the monthly quota. There is also an additional 6% bonus on top of the normal commission rate for any sales beyond \$21600. If Jennifer sold \$23400 worth of items this month, what is her total salary for the month including base salary and commission to the nearest dollar?

### Complexity=1, Mode=needed

Answer the following questions involving commission.
 1 Pearl makes a base monthly salary of \$1500. As a vendor, she must sell \$21000 worth of items per month. She also makes a 9% commission on all sales beyond the monthly quota. There is also an additional 2% bonus on top of the normal commission rate for any sales beyond \$30000. If Pearl made \$4000 this month, how much did she sell to the nearest dollar? 2 Jennifer makes a base monthly salary of \$3300. As a vendor, she must sell \$22000 worth of items per month. She also makes a 10% commission on all sales beyond the monthly quota. There is also an additional 7% bonus on top of the normal commission rate for any sales beyond \$31000. If Jennifer made \$3800 this month, how much did she sell to the nearest dollar?

### Complexity=1, Mode=simple

Answer the following questions involving commission.
1Jennifer makes money by commission rates. She gets 13% of everything she sells. If Jennifer sold \$46000 worth of items this month, what is her salary for the month?
Solution
Amount sold = \$46000
Percentage rate = 13%
Total salary = Amount sold × Percentage rate = \$46000 × (13 / 100) = \$5980
2Peter makes money by commission rates. He gets 15% of everything he sells. If Peter sold \$28000 worth of items this month, what is his salary for the month?
Solution
Amount sold = \$28000
Percentage rate = 15%
Total salary = Amount sold × Percentage rate = \$28000 × (15 / 100) = \$4200

### Complexity=1, Mode=withBase

Answer the following questions involving commission.
1John makes \$10000 a month plus some money by commission rates. He gets 3% of everything he sells. If John sold \$40000 worth of items this month, what is his salary for the month?
Solution
Amount sold = \$40000
Percentage rate = 3%
Salary from commission rate = Amount sold × Percentage rate = \$40000 × (3 / 100) = \$1200
Total salary = Base salary + Salary from commission rate = \$10000 + \$1200 = \$11200
2Miguel makes \$5000 a month plus some money by commission rates. He gets 8% of everything he sells. If Miguel sold \$53000 worth of items this month, what is his salary for the month?
Solution
Amount sold = \$53000
Percentage rate = 8%
Salary from commission rate = Amount sold × Percentage rate = \$53000 × (8 / 100) = \$4240
Total salary = Base salary + Salary from commission rate = \$5000 + \$4240 = \$9240

### Complexity=1, Mode=earned

Answer the following questions involving commission.
1Maria makes a base monthly salary of \$3500. As a vendor, she must sell \$24000 worth of items per month. She also makes a 10% commission on all sales beyond the monthly quota. If Maria sold \$26400 worth of items this month, what is her total salary for the month including base salary and commission to the nearest dollar?
Solution
Amount past quota sold = Amount sold - Monthly quota = \$26400 - \$24000 = \$2400
Amount made from commission = Commission Rate × Amount past quota sold = 10 ÷ 100 × \$2400 = \$240
Total amount made = monthly base salary + Amount made from commission = \$3500 + \$240 = \$3740
2Mike makes a base monthly salary of \$3100. As a vendor, he must sell \$20000 worth of items per month. He also makes a 8% commission on all sales beyond the monthly quota. If Mike sold \$28000 worth of items this month, what is his total salary for the month including base salary and commission to the nearest dollar?
Solution
Amount past quota sold = Amount sold - Monthly quota = \$28000 - \$20000 = \$8000
Amount made from commission = Commission Rate × Amount past quota sold = 8 ÷ 100 × \$8000 = \$640
Total amount made = monthly base salary + Amount made from commission = \$3100 + \$640 = \$3740

### Complexity=1, Mode=bonus

Answer the following questions involving commission.
1Mary makes a base monthly salary of \$3900. As a vendor, she must sell \$21000 worth of items per month. She also makes a 7% commission on all sales beyond the monthly quota. There is also an additional 5% bonus on top of the normal commission rate for any sales beyond \$27300. If Mary sold \$31500 worth of items this month, what is her total salary for the month including base salary and commission to the nearest dollar?
Solution
Amount past quota sold = Amount eligible for normal commission rate = Amount sold - Monthly quota = \$31500 - \$21000 = \$10500
Amount past required quota for bonus commission rate = Amount eligible for extra bonus commission rate = Amount sold - required quota for bonus commission rate = \$31500 - \$27300 = \$4200
Amount made from normal commission = Commission Rate × Amount past quota sold = 7 ÷ 100 × \$10500 = \$735
Amount made from bonus commission = Bonus Commission Rate × Amount past required quota for bonus commission sold = 5 ÷ 100 × \$4200 = \$210
Total amount made = monthly base salary + Amount made from normal commission + Amount made from bonus commission = \$3900 + \$735 + \$210 = \$4845
2Jennifer makes a base monthly salary of \$2000. As a vendor, she must sell \$18000 worth of items per month. She also makes a 9% commission on all sales beyond the monthly quota. There is also an additional 6% bonus on top of the normal commission rate for any sales beyond \$21600. If Jennifer sold \$23400 worth of items this month, what is her total salary for the month including base salary and commission to the nearest dollar?
Solution
Amount past quota sold = Amount eligible for normal commission rate = Amount sold - Monthly quota = \$23400 - \$18000 = \$5400
Amount past required quota for bonus commission rate = Amount eligible for extra bonus commission rate = Amount sold - required quota for bonus commission rate = \$23400 - \$21600 = \$1800
Amount made from normal commission = Commission Rate × Amount past quota sold = 9 ÷ 100 × \$5400 = \$486
Amount made from bonus commission = Bonus Commission Rate × Amount past required quota for bonus commission sold = 6 ÷ 100 × \$1800 = \$108
Total amount made = monthly base salary + Amount made from normal commission + Amount made from bonus commission = \$2000 + \$486 + \$108 = \$2594

### Complexity=1, Mode=needed

Answer the following questions involving commission.
1Pearl makes a base monthly salary of \$1500. As a vendor, she must sell \$21000 worth of items per month. She also makes a 9% commission on all sales beyond the monthly quota. There is also an additional 2% bonus on top of the normal commission rate for any sales beyond \$30000. If Pearl made \$4000 this month, how much did she sell to the nearest dollar?
Solution
Start by guessing Pearl didn't sell enough to garner any salary from the bonus commission rate.
Salary made from commission = Total salary - monthly base salary = \$4000 - \$1500 = \$2500
Commission rate × Amount eligible for commission rate = Amount earned from commission = Rate × Amount = Salary
Amount = Salary ÷ Rate = \$2500 ÷ (9 / 100) = \$27778
So presuming no bonus commission is made, Pearl would have to sell \$21000 + \$27778 = \$48778
Since the guessed amount sold is more than the required quota for obtaining bonus commission, our guess was wrong and we know that Pearl sold at least the required quota for obtaining bonus commission which is \$30000.
Amount made from commission for sales below \$30000 = Amount below \$30000 eligible for normal commission × normal commission rate = \$9000 × 9 / 100 = \$810
Amount left to make from bonus commission = Total salary - monthly base salary - amount made from normal commission for sales below \$30000 = \$4000 - \$1500 - \$810 = \$1690
Total commission percentage rate for sales over \$30000 = normal commission percentage rate + bonus commission percentage rate = 9% + 2% = 11%
Again for the money made from bonus commission, Amount = Salary / Rate = \$1690 / (11 / 100) = \$15364
Total amount sold = monthly quota + amount sold at only normal commission + amount sold at bonus commission = \$21000 + \$9000 + \$15364 = \$45364