Purchases At Stores Sample Problems

Math Practice Online > free > lessons > Ohio > 8th grade > Purchases At Stores

If your child needs math practice, click here.

These sample problems below for Purchases At Stores were generated by the MathScore.com engine.

Sample Problems For Purchases At Stores

Complexity=4, Mode=tax

Find the total costs asked for.

1.	You wish to buy a jaw breaker that costs $0.10 and a gumball that costs $0.15. The sales tax is 9.75%. What is the total cost?
2.	You wish to buy a jaw breaker that costs $0.07 and a pencil that costs $0.59. The sales tax is 9%. What is the total cost?

Complexity=5, Mode=discount

Find the total costs asked for.

1.	A store offers a 10% discount on a binder that retails for $6. The sales tax is 8.25%. What does the binder cost?
2.	A store offers a 30% discount on a bunch of spinach that retails for $3. The sales tax is 7.25%. What does the bunch of spinach cost?

Complexity=6, Mode=discount

Find the total costs asked for.

1.	A store offers a 30% discount on a pair of shoes that retails for $15. The sales tax is 9.25%. What does the pair of shoes cost?
2.	A store offers a 30% discount on a pair of pants that retails for $23. The sales tax is 7.25%. What does the pair of pants cost?

Complexity=6, Mode=markup

Find the total costs asked for.

1.	A store offers a 45% discount on a book that was marked up by 5% from the original retail price of $20. The sales tax is 6%. What does the book cost?
2.	A store offers a 30% discount on a pair of pants that was marked up by 20% from the original retail price of $29. The sales tax is 7.75%. What does the pair of pants cost?

Complexity=7, Mode=markup

Find the total costs asked for.

1.	A store offers a 35% discount on a video game system that was marked up by 5% from the original retail price of $201. The sales tax is 7.5%. What does the video game system cost?
2.	A store offers a 35% discount on a drumset that was marked up by 5% from the original retail price of $350. The sales tax is 8.25%. What does the drumset cost?

Complexity=9

Find the total costs asked for.

1.	You wish to buy a guitar that costs $399 and a clarinet that costs $536. The sales tax is 7.75%. What is the total cost?
2.	A store offers a 30% discount on a binder that was marked up by 15% from the original retail price of $3. The sales tax is 9.75%. What does the binder cost?

Complexity=10

Find the total costs asked for.

1.	A store offers a 15% discount on a eraser that retails for $0.50. The sales tax is 6.25%. What does the eraser cost?
2.	You wish to buy a pencil that costs $0.35 and a calculator that costs $18. The sales tax is 6%. What is the total cost?

Answers

Complexity=4, Mode=tax

Find the total costs asked for.

#	Problem	Correct Answer	Your Answer
1	You wish to buy a jaw breaker that costs $0.10 and a gumball that costs $0.15. The sales tax is 9.75%. What is the total cost?
Solution Total cost without tax = $0.10 + $0.15 = $0.25. Sales tax is 9.75% so you will pay 9.75% × $0.25 = $0.02 for sales tax. Total cost with sales tax = $0.25 + $0.02 = $0.27.

#	Problem	Correct Answer	Your Answer
2	You wish to buy a jaw breaker that costs $0.07 and a pencil that costs $0.59. The sales tax is 9%. What is the total cost?
Solution Total cost without tax = $0.07 + $0.59 = $0.66. Sales tax is 9% so you will pay 9% × $0.66 = $0.06 for sales tax. Total cost with sales tax = $0.66 + $0.06 = $0.72.

Complexity=5, Mode=discount

Find the total costs asked for.

#	Problem	Correct Answer	Your Answer
1	A store offers a 10% discount on a binder that retails for $6. The sales tax is 8.25%. What does the binder cost?
Solution Discount is 10% so that means you only need to pay (100 - 10)% = 90% of the total cost of the binder. Cost with discount = $6 × 90% = $6 × 0.9 = $5.40. Sales tax is 8.25% so you will pay 8.25% × $5.40 = $0.45 for sales tax. Total cost with sales tax = $5.40 + $0.45 = $5.85. Alternate Solution: (1 - discount) × (1 + sales tax) × original cost = total cost. 0.9 × 1.0825 × $6 = $5.85.

#	Problem	Correct Answer	Your Answer
2	A store offers a 30% discount on a bunch of spinach that retails for $3. The sales tax is 7.25%. What does the bunch of spinach cost?
Solution Discount is 30% so that means you only need to pay (100 - 30)% = 70% of the total cost of the bunch of spinach. Cost with discount = $3 × 70% = $3 × 0.7 = $2.10. Sales tax is 7.25% so you will pay 7.25% × $2.10 = $0.15 for sales tax. Total cost with sales tax = $2.10 + $0.15 = $2.25. Alternate Solution: (1 - discount) × (1 + sales tax) × original cost = total cost. 0.7 × 1.0725 × $3 = $2.25.

Complexity=6, Mode=discount

Find the total costs asked for.

#	Problem	Correct Answer	Your Answer
1	A store offers a 30% discount on a pair of shoes that retails for $15. The sales tax is 9.25%. What does the pair of shoes cost?
Solution Discount is 30% so that means you only need to pay (100 - 30)% = 70% of the total cost of the pair of shoes. Cost with discount = $15 × 70% = $15 × 0.7 = $10.50. Sales tax is 9.25% so you will pay 9.25% × $10.50 = $0.97 for sales tax. Total cost with sales tax = $10.50 + $0.97 = $11.47. Alternate Solution: (1 - discount) × (1 + sales tax) × original cost = total cost. 0.7 × 1.0925 × $15 = $11.47.

#	Problem	Correct Answer	Your Answer
2	A store offers a 30% discount on a pair of pants that retails for $23. The sales tax is 7.25%. What does the pair of pants cost?
Solution Discount is 30% so that means you only need to pay (100 - 30)% = 70% of the total cost of the pair of pants. Cost with discount = $23 × 70% = $23 × 0.7 = $16.10. Sales tax is 7.25% so you will pay 7.25% × $16.10 = $1.17 for sales tax. Total cost with sales tax = $16.10 + $1.17 = $17.27. Alternate Solution: (1 - discount) × (1 + sales tax) × original cost = total cost. 0.7 × 1.0725 × $23 = $17.27.

Complexity=6, Mode=markup

Find the total costs asked for.

#	Problem	Correct Answer	Your Answer
1	A store offers a 45% discount on a book that was marked up by 5% from the original retail price of $20. The sales tax is 6%. What does the book cost?
Solution Markup is 5% so that means you need to pay (100 + 5)% = 105% of the original retail price of the book. Cost after markup = $20 × 105% = $20 × 1.05 = $21. Discount is 45% so that means you only need to pay (100 - 45)% = 55% of the cost so far for the book. Cost with discount = $21 × 55% = $21 × 0.55 = $11.55. Sales tax is 6% so you will pay 6% × $11.55 = $0.69 for sales tax. Total cost with sales tax = $11.55 + $0.69 = $12.24. Alternate Solution: (1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost. 1.05 × 0.55 × 1.06 × $20 = $12.24.

#	Problem	Correct Answer	Your Answer
2	A store offers a 30% discount on a pair of pants that was marked up by 20% from the original retail price of $29. The sales tax is 7.75%. What does the pair of pants cost?
Solution Markup is 20% so that means you need to pay (100 + 20)% = 120% of the original retail price of the pair of pants. Cost after markup = $29 × 120% = $29 × 1.2 = $34.8. Discount is 30% so that means you only need to pay (100 - 30)% = 70% of the cost so far for the pair of pants. Cost with discount = $34.8 × 70% = $34.8 × 0.7 = $24.36. Sales tax is 7.75% so you will pay 7.75% × $24.36 = $1.89 for sales tax. Total cost with sales tax = $24.36 + $1.89 = $26.25. Alternate Solution: (1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost. 1.2 × 0.7 × 1.0775 × $29 = $26.25.

Complexity=7, Mode=markup

Find the total costs asked for.

#	Problem	Correct Answer	Your Answer
1	A store offers a 35% discount on a video game system that was marked up by 5% from the original retail price of $201. The sales tax is 7.5%. What does the video game system cost?
Solution Markup is 5% so that means you need to pay (100 + 5)% = 105% of the original retail price of the video game system. Cost after markup = $201 × 105% = $201 × 1.05 = $211.05. Discount is 35% so that means you only need to pay (100 - 35)% = 65% of the cost so far for the video game system. Cost with discount = $211.05 × 65% = $211.05 × 0.65 = $137.18. Sales tax is 7.5% so you will pay 7.5% × $137.18 = $10.29 for sales tax. Total cost with sales tax = $137.18 + $10.29 = $147.47. Alternate Solution: (1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost. 1.05 × 0.65 × 1.075 × $201 = $147.47.

#	Problem	Correct Answer	Your Answer
2	A store offers a 35% discount on a drumset that was marked up by 5% from the original retail price of $350. The sales tax is 8.25%. What does the drumset cost?
Solution Markup is 5% so that means you need to pay (100 + 5)% = 105% of the original retail price of the drumset. Cost after markup = $350 × 105% = $350 × 1.05 = $367.5. Discount is 35% so that means you only need to pay (100 - 35)% = 65% of the cost so far for the drumset. Cost with discount = $367.5 × 65% = $367.5 × 0.65 = $238.88. Sales tax is 8.25% so you will pay 8.25% × $238.88 = $19.71 for sales tax. Total cost with sales tax = $238.88 + $19.71 = $258.58. Alternate Solution: (1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost. 1.05 × 0.65 × 1.0825 × $350 = $258.58.

Complexity=9

Find the total costs asked for.

#	Problem	Correct Answer	Your Answer
1	You wish to buy a guitar that costs $399 and a clarinet that costs $536. The sales tax is 7.75%. What is the total cost?
Solution Total cost without tax = $399 + $536 = $935.00. Sales tax is 7.75% so you will pay 7.75% × $935.00 = $72.46 for sales tax. Total cost with sales tax = $935.00 + $72.46 = $1,007.46.

#	Problem	Correct Answer	Your Answer
2	A store offers a 30% discount on a binder that was marked up by 15% from the original retail price of $3. The sales tax is 9.75%. What does the binder cost?
Solution Markup is 15% so that means you need to pay (100 + 15)% = 115% of the original retail price of the binder. Cost after markup = $3 × 115% = $3 × 1.15 = $3.45. Discount is 30% so that means you only need to pay (100 - 30)% = 70% of the cost so far for the binder. Cost with discount = $3.45 × 70% = $3.45 × 0.7 = $2.41. Sales tax is 9.75% so you will pay 9.75% × $2.41 = $0.24 for sales tax. Total cost with sales tax = $2.41 + $0.24 = $2.65. Alternate Solution: (1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost. 1.15 × 0.7 × 1.0975 × $3 = $2.65.

Complexity=10

Find the total costs asked for.

#	Problem	Correct Answer	Your Answer
1	A store offers a 15% discount on a eraser that retails for $0.50. The sales tax is 6.25%. What does the eraser cost?
Solution Discount is 15% so that means you only need to pay (100 - 15)% = 85% of the total cost of the eraser. Cost with discount = $0.50 × 85% = $0.50 × 0.85 = $0.43. Sales tax is 6.25% so you will pay 6.25% × $0.43 = $0.03 for sales tax. Total cost with sales tax = $0.43 + $0.03 = $0.45. Alternate Solution: (1 - discount) × (1 + sales tax) × original cost = total cost. 0.85 × 1.0625 × $0.50 = $0.45.

#	Problem	Correct Answer	Your Answer
2	You wish to buy a pencil that costs $0.35 and a calculator that costs $18. The sales tax is 6%. What is the total cost?
Solution Total cost without tax = $0.35 + $18 = $18.35. Sales tax is 6% so you will pay 6% × $18.35 = $1.10 for sales tax. Total cost with sales tax = $18.35 + $1.10 = $19.45.

MathScore.com