Math Practice Problems - Commissions

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.

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Complexity=1, Mode=simple

Answer the following questions involving commission.

1.	Mike makes money by commission rates. He gets 10% of everything he sells. If Mike sold $20000 worth of items this month, what is his salary for the month?
2.	Paul makes money by commission rates. He gets 30% of everything he sells. If Paul sold $25000 worth of items this month, what is his salary for the month?

Complexity=1, Mode=withBase

Answer the following questions involving commission.

1.	Cindy makes $10000 a month plus some money by commission rates. She gets 9% of everything she sells. If Cindy sold $20000 worth of items this month, what is her salary for the month?
2.	Tiffany makes $3000 a month plus some money by commission rates. She gets 6% of everything she sells. If Tiffany sold $41000 worth of items this month, what is her salary for the month?

Complexity=1, Mode=earned

Answer the following questions involving commission.

1.	Jennifer makes a base monthly salary of $2000. As a vendor, she must sell $17000 worth of items per month. She also makes a 10% commission on all sales beyond the monthly quota. If Jennifer sold $27200 worth of items this month, what is her total salary for the month including base salary and commission to the nearest dollar?
2.	Peter makes a base monthly salary of $3000. As a vendor, he must sell $17000 worth of items per month. He also makes a 2% commission on all sales beyond the monthly quota. If Peter sold $25500 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.

Sharon makes a base monthly salary of $1600. As a vendor, she must sell $40000 worth of items per month. She also makes a 3% 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 $56000. If Sharon sold $68000 worth of items this month, what is her total salary for the month including base salary and commission to the nearest dollar?

2.

Cindy makes a base monthly salary of $3900. As a vendor, she must sell $36000 worth of items per month. She also makes a 6% 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 $39600. If Cindy sold $46800 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.	Steven makes a base monthly salary of $2800. As a vendor, he must sell $14000 worth of items per month. He also makes a 4% 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 $20000. If Steven made $5100 this month, how much did he sell to the nearest dollar?
2.	Peter makes a base monthly salary of $2800. As a vendor, he must sell $14000 worth of items per month. He also makes a 6% 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 $23000. If Peter made $4800 this month, how much did he sell to the nearest dollar?

Answers

Complexity=1, Mode=simple

Answer the following questions involving commission.

#	Problem	Correct Answer	Your Answer
1	Mike makes money by commission rates. He gets 10% of everything he sells. If Mike sold $20000 worth of items this month, what is his salary for the month?
Solution Amount sold = $20000 Percentage rate = 10% Total salary = Amount sold × Percentage rate = $20000 × (10 / 100) = $2000

#	Problem	Correct Answer	Your Answer
2	Paul makes money by commission rates. He gets 30% of everything he sells. If Paul sold $25000 worth of items this month, what is his salary for the month?
Solution Amount sold = $25000 Percentage rate = 30% Total salary = Amount sold × Percentage rate = $25000 × (30 / 100) = $7500

Complexity=1, Mode=withBase

Answer the following questions involving commission.

#	Problem	Correct Answer	Your Answer
1	Cindy makes $10000 a month plus some money by commission rates. She gets 9% of everything she sells. If Cindy sold $20000 worth of items this month, what is her salary for the month?
Solution Amount sold = $20000 Percentage rate = 9% Salary from commission rate = Amount sold × Percentage rate = $20000 × (9 / 100) = $1800 Total salary = Base salary + Salary from commission rate = $10000 + $1800 = $11800

#	Problem	Correct Answer	Your Answer
2	Tiffany makes $3000 a month plus some money by commission rates. She gets 6% of everything she sells. If Tiffany sold $41000 worth of items this month, what is her salary for the month?
Solution Amount sold = $41000 Percentage rate = 6% Salary from commission rate = Amount sold × Percentage rate = $41000 × (6 / 100) = $2460 Total salary = Base salary + Salary from commission rate = $3000 + $2460 = $5460

Complexity=1, Mode=earned

Answer the following questions involving commission.

#	Problem	Correct Answer	Your Answer
1	Jennifer makes a base monthly salary of $2000. As a vendor, she must sell $17000 worth of items per month. She also makes a 10% commission on all sales beyond the monthly quota. If Jennifer sold $27200 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 = $27200 - $17000 = $10200 Amount made from commission = Commission Rate × Amount past quota sold = 10 ÷ 100 × $10200 = $1020 Total amount made = monthly base salary + Amount made from commission = $2000 + $1020 = $3020

#	Problem	Correct Answer	Your Answer
2	Peter makes a base monthly salary of $3000. As a vendor, he must sell $17000 worth of items per month. He also makes a 2% commission on all sales beyond the monthly quota. If Peter sold $25500 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 = $25500 - $17000 = $8500 Amount made from commission = Commission Rate × Amount past quota sold = 2 ÷ 100 × $8500 = $170 Total amount made = monthly base salary + Amount made from commission = $3000 + $170 = $3170

Complexity=1, Mode=bonus

Answer the following questions involving commission.

#	Problem	Correct Answer	Your Answer
1	Sharon makes a base monthly salary of $1600. As a vendor, she must sell $40000 worth of items per month. She also makes a 3% 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 $56000. If Sharon sold $68000 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 = $68000 - $40000 = $28000 Amount past required quota for bonus commission rate = Amount eligible for extra bonus commission rate = Amount sold - required quota for bonus commission rate = $68000 - $56000 = $12000 Amount made from normal commission = Commission Rate × Amount past quota sold = 3 ÷ 100 × $28000 = $840 Amount made from bonus commission = Bonus Commission Rate × Amount past required quota for bonus commission sold = 3 ÷ 100 × $12000 = $360 Total amount made = monthly base salary + Amount made from normal commission + Amount made from bonus commission = $1600 + $840 + $360 = $2800

#	Problem	Correct Answer	Your Answer
2	Cindy makes a base monthly salary of $3900. As a vendor, she must sell $36000 worth of items per month. She also makes a 6% 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 $39600. If Cindy sold $46800 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 = $46800 - $36000 = $10800 Amount past required quota for bonus commission rate = Amount eligible for extra bonus commission rate = Amount sold - required quota for bonus commission rate = $46800 - $39600 = $7200 Amount made from normal commission = Commission Rate × Amount past quota sold = 6 ÷ 100 × $10800 = $648 Amount made from bonus commission = Bonus Commission Rate × Amount past required quota for bonus commission sold = 2 ÷ 100 × $7200 = $144 Total amount made = monthly base salary + Amount made from normal commission + Amount made from bonus commission = $3900 + $648 + $144 = $4692

Complexity=1, Mode=needed

Answer the following questions involving commission.

#	Problem	Correct Answer	Your Answer
1	Steven makes a base monthly salary of $2800. As a vendor, he must sell $14000 worth of items per month. He also makes a 4% 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 $20000. If Steven made $5100 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 = $5100 - $2800 = $2300 Commission rate × Amount eligible for commission rate = Amount earned from commission = Rate × Amount = Salary Amount = Salary ÷ Rate = $2300 ÷ (4 / 100) = $57500 So presuming no bonus commission is made, Steven would have to sell $14000 + $57500 = $71500 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 $20000. Amount made from commission for sales below $20000 = Amount below $20000 eligible for normal commission × normal commission rate = $6000 × 4 / 100 = $240 Amount left to make from bonus commission = Total salary - monthly base salary - amount made from normal commission for sales below $20000 = $5100 - $2800 - $240 = $2060 Total commission percentage rate for sales over $20000 = normal commission percentage rate + bonus commission percentage rate = 4% + 5% = 9% Again for the money made from bonus commission, Amount = Salary / Rate = $2060 / (9 / 100) = $22889 Total amount sold = monthly quota + amount sold at only normal commission + amount sold at bonus commission = $14000 + $6000 + $22889 = $42889

#	Problem	Correct Answer	Your Answer
2	Peter makes a base monthly salary of $2800. As a vendor, he must sell $14000 worth of items per month. He also makes a 6% 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 $23000. If Peter made $4800 this month, how much did he sell to the nearest dollar?
Solution Start by guessing Peter didn't sell enough to garner any salary from the bonus commission rate. Salary made from commission = Total salary - monthly base salary = $4800 - $2800 = $2000 Commission rate × Amount eligible for commission rate = Amount earned from commission = Rate × Amount = Salary Amount = Salary ÷ Rate = $2000 ÷ (6 / 100) = $33333 So presuming no bonus commission is made, Peter would have to sell $14000 + $33333 = $47333 Since the guessed amount sold is more than the required quota for obtaining bonus commission, our guess was wrong and we know that Peter sold at least the required quota for obtaining bonus commission which is $23000. Amount made from commission for sales below $23000 = Amount below $23000 eligible for normal commission × normal commission rate = $9000 × 6 / 100 = $540 Amount left to make from bonus commission = Total salary - monthly base salary - amount made from normal commission for sales below $23000 = $4800 - $2800 - $540 = $1460 Total commission percentage rate for sales over $23000 = normal commission percentage rate + bonus commission percentage rate = 6% + 9% = 15% Again for the money made from bonus commission, Amount = Salary / Rate = $1460 / (15 / 100) = $9733 Total amount sold = monthly quota + amount sold at only normal commission + amount sold at bonus commission = $14000 + $9000 + $9733 = $32733

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