Purchases At Stores Sample Problems

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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.

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