Math Practice Problems - Commissions

Math Software Online: MathScore.com

MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free!

Commissions - Sample Math Practice Problems

The math problems below can be generated by MathScore.com, a math practice program for schools and individual families. References to complexity and mode refer to the overall difficulty of the problems as they appear in the main program. In the main program, all problems are automatically graded and the difficulty adapts dynamically based on performance. Answers to these sample questions appear at the bottom of the page. This page does not grade your responses.

Want unlimited math worksheets? Learn more about our online math practice software.
See some of our other supported math practice problems.

Complexity=1, Mode=withBase

Answer the following questions involving commission.

Complexity=1, Mode=earned

Answer the following questions involving commission.

Complexity=1, Mode=bonus

Answer the following questions involving commission.

1.

Jose makes a base monthly salary of $2700. As a vendor, he must sell $30000 worth of items per month. He also makes a 10% commission on all sales beyond the monthly quota. There is also an additional 10% bonus on top of the normal commission rate for any sales beyond $39000. If Jose sold $42000 worth of items this month, what is his total salary for the month including base salary and commission to the nearest dollar?

2.

Cindy makes a base monthly salary of $3600. As a vendor, she must sell $35000 worth of items per month. She also makes a 9% commission on all sales beyond the monthly quota. There is also an additional 9% bonus on top of the normal commission rate for any sales beyond $52500. If Cindy sold $56000 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.

Answers

Complexity=1, Mode=simple

Answer the following questions involving commission.

#	Problem	Correct Answer	Your Answer
1	Maria makes money by commission rates. She gets 15% of everything she sells. If Maria sold $23000 worth of items this month, what is her salary for the month?
Solution Amount sold = $23000 Percentage rate = 15% Total salary = Amount sold × Percentage rate = $23000 × (15 / 100) = $3450

#	Problem	Correct Answer	Your Answer
2	Tiffany makes money by commission rates. She gets 21% of everything she sells. If Tiffany sold $27000 worth of items this month, what is her salary for the month?
Solution Amount sold = $27000 Percentage rate = 21% Total salary = Amount sold × Percentage rate = $27000 × (21 / 100) = $5670

Complexity=1, Mode=withBase

Answer the following questions involving commission.

#	Problem	Correct Answer	Your Answer
1	Peter makes $7000 a month plus some money by commission rates. He gets 6% of everything he sells. If Peter sold $55000 worth of items this month, what is his salary for the month?
Solution Amount sold = $55000 Percentage rate = 6% Salary from commission rate = Amount sold × Percentage rate = $55000 × (6 / 100) = $3300 Total salary = Base salary + Salary from commission rate = $7000 + $3300 = $10300

#	Problem	Correct Answer	Your Answer
2	Cindy makes $9000 a month plus some money by commission rates. She gets 10% of everything she sells. If Cindy sold $30000 worth of items this month, what is her salary for the month?
Solution Amount sold = $30000 Percentage rate = 10% Salary from commission rate = Amount sold × Percentage rate = $30000 × (10 / 100) = $3000 Total salary = Base salary + Salary from commission rate = $9000 + $3000 = $12000

Complexity=1, Mode=earned

Answer the following questions involving commission.

#	Problem	Correct Answer	Your Answer
1	Paul makes a base monthly salary of $1500. As a vendor, he must sell $19000 worth of items per month. He also makes a 6% commission on all sales beyond the monthly quota. If Paul sold $26600 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 = $26600 - $19000 = $7600 Amount made from commission = Commission Rate × Amount past quota sold = 6 ÷ 100 × $7600 = $456 Total amount made = monthly base salary + Amount made from commission = $1500 + $456 = $1956

#	Problem	Correct Answer	Your Answer
2	Paul makes a base monthly salary of $1500. As a vendor, he must sell $20000 worth of items per month. He also makes a 4% commission on all sales beyond the monthly quota. If Paul sold $26000 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 = $26000 - $20000 = $6000 Amount made from commission = Commission Rate × Amount past quota sold = 4 ÷ 100 × $6000 = $240 Total amount made = monthly base salary + Amount made from commission = $1500 + $240 = $1740

Complexity=1, Mode=bonus

Answer the following questions involving commission.

#	Problem	Correct Answer	Your Answer
1	Jose makes a base monthly salary of $2700. As a vendor, he must sell $30000 worth of items per month. He also makes a 10% commission on all sales beyond the monthly quota. There is also an additional 10% bonus on top of the normal commission rate for any sales beyond $39000. If Jose sold $42000 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 eligible for normal commission rate = Amount sold - Monthly quota = $42000 - $30000 = $12000 Amount past required quota for bonus commission rate = Amount eligible for extra bonus commission rate = Amount sold - required quota for bonus commission rate = $42000 - $39000 = $3000 Amount made from normal commission = Commission Rate × Amount past quota sold = 10 ÷ 100 × $12000 = $1200 Amount made from bonus commission = Bonus Commission Rate × Amount past required quota for bonus commission sold = 10 ÷ 100 × $3000 = $300 Total amount made = monthly base salary + Amount made from normal commission + Amount made from bonus commission = $2700 + $1200 + $300 = $4200

#	Problem	Correct Answer	Your Answer
2	Cindy makes a base monthly salary of $3600. As a vendor, she must sell $35000 worth of items per month. She also makes a 9% commission on all sales beyond the monthly quota. There is also an additional 9% bonus on top of the normal commission rate for any sales beyond $52500. If Cindy sold $56000 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 = $56000 - $35000 = $21000 Amount past required quota for bonus commission rate = Amount eligible for extra bonus commission rate = Amount sold - required quota for bonus commission rate = $56000 - $52500 = $3500 Amount made from normal commission = Commission Rate × Amount past quota sold = 9 ÷ 100 × $21000 = $1890 Amount made from bonus commission = Bonus Commission Rate × Amount past required quota for bonus commission sold = 9 ÷ 100 × $3500 = $315 Total amount made = monthly base salary + Amount made from normal commission + Amount made from bonus commission = $3600 + $1890 + $315 = $5805

Complexity=1, Mode=needed

Answer the following questions involving commission.

#	Problem	Correct Answer	Your Answer
1	Pearl makes a base monthly salary of $3900. As a vendor, she must sell $11000 worth of items per month. She also makes a 6% commission on all sales beyond the monthly quota. There is also an additional 3% bonus on top of the normal commission rate for any sales beyond $17000. If Pearl made $5500 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 = $5500 - $3900 = $1600 Commission rate × Amount eligible for commission rate = Amount earned from commission = Rate × Amount = Salary Amount = Salary ÷ Rate = $1600 ÷ (6 / 100) = $26667 So presuming no bonus commission is made, Pearl would have to sell $11000 + $26667 = $37667 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 $17000. Amount made from commission for sales below $17000 = Amount below $17000 eligible for normal commission × normal commission rate = $6000 × 6 / 100 = $360 Amount left to make from bonus commission = Total salary - monthly base salary - amount made from normal commission for sales below $17000 = $5500 - $3900 - $360 = $1240 Total commission percentage rate for sales over $17000 = normal commission percentage rate + bonus commission percentage rate = 6% + 3% = 9% Again for the money made from bonus commission, Amount = Salary / Rate = $1240 / (9 / 100) = $13778 Total amount sold = monthly quota + amount sold at only normal commission + amount sold at bonus commission = $11000 + $6000 + $13778 = $30778

#	Problem	Correct Answer	Your Answer
2	Steven makes a base monthly salary of $2700. As a vendor, he must sell $17000 worth of items per month. He also makes a 10% 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 $25000. If Steven made $4800 this month, how much did he sell to the nearest dollar?
Solution Start by guessing Steven didn't sell enough to garner any salary from the bonus commission rate. Salary made from commission = Total salary - monthly base salary = $4800 - $2700 = $2100 Commission rate × Amount eligible for commission rate = Amount earned from commission = Rate × Amount = Salary Amount = Salary ÷ Rate = $2100 ÷ (10 / 100) = $21000 So presuming no bonus commission is made, Steven would have to sell $17000 + $21000 = $38000 Since the guessed amount sold is more than the required quota for obtaining bonus commission, our guess was wrong and we know that Steven sold at least the required quota for obtaining bonus commission which is $25000. Amount made from commission for sales below $25000 = Amount below $25000 eligible for normal commission × normal commission rate = $8000 × 10 / 100 = $800 Amount left to make from bonus commission = Total salary - monthly base salary - amount made from normal commission for sales below $25000 = $4800 - $2700 - $800 = $1300 Total commission percentage rate for sales over $25000 = normal commission percentage rate + bonus commission percentage rate = 10% + 5% = 15% Again for the money made from bonus commission, Amount = Salary / Rate = $1300 / (15 / 100) = $8667 Total amount sold = monthly quota + amount sold at only normal commission + amount sold at bonus commission = $17000 + $8000 + $8667 = $33667

Learn more about our online math practice software.

"MathScore works."
- John Cradler, Educational Technology Expert

© Copyright 2010 Accurate Learning Systems Corp. All rights reserved.