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## Purchases At Stores - 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=4, Mode=tax

Find the total costs asked for.

 1 You wish to buy a sticker that costs \$0.26 and a pencil that costs \$0.42. The sales tax is 5%. What is the total cost? 2 You wish to buy a sticker that costs \$0.36 and a gumball that costs \$0.16. The sales tax is 5.75%. What is the total cost?

### Complexity=5, Mode=discount

Find the total costs asked for.

 1 A store offers a 15% discount on a deck of cards that retails for \$3. The sales tax is 6.5%. What does the deck of cards cost? 2 A store offers a 10% discount on a magazine that retails for \$5. The sales tax is 6.25%. What does the magazine cost?

### Complexity=6, Mode=discount

Find the total costs asked for.

 1 A store offers a 50% discount on a book that retails for \$29. The sales tax is 7.25%. What does the book cost? 2 A store offers a 15% discount on a video game that retails for \$33. The sales tax is 7.5%. What does the video game cost?

### Complexity=6, Mode=markup

Find the total costs asked for.

 1 A store offers a 35% discount on a tie that was marked up by 20% from the original retail price of \$36. The sales tax is 7.75%. What does the tie cost? 2 A store offers a 40% discount on a video game that was marked up by 5% from the original retail price of \$39. The sales tax is 9%. What does the video game cost?

### Complexity=7, Mode=markup

Find the total costs asked for.

 1 A store offers a 30% discount on a clarinet that was marked up by 5% from the original retail price of \$405. The sales tax is 9%. What does the clarinet cost? 2 A store offers a 25% discount on a computer that was marked up by 20% from the original retail price of \$495. The sales tax is 5.25%. What does the computer cost?

### Complexity=9

Find the total costs asked for.

 1 You wish to buy a binder that costs \$5 and a book that costs \$8. The sales tax is 9.25%. What is the total cost? 2 You wish to buy a pencil that costs \$0.83 and a trumpet that costs \$778. The sales tax is 5.75%. What is the total cost?

### Complexity=10

Find the total costs asked for.

 1 You wish to buy a pencil that costs \$0.21 and a stuffed animal that costs \$4. The sales tax is 9.25%. What is the total cost? 2 A store offers a 45% discount on a shirt that retails for \$22. The sales tax is 8.75%. What does the shirt cost?

### Complexity=4, Mode=tax

Find the total costs asked for.

1You wish to buy a sticker that costs \$0.26 and a pencil that costs \$0.42. The sales tax is 5%. What is the total cost?
Solution
Total cost without tax = \$0.26 + \$0.42 = \$0.68.
Sales tax is 5% so you will pay 5% × \$0.68 = \$0.03 for sales tax.
Total cost with sales tax = \$0.68 + \$0.03 = \$0.71.
2You wish to buy a sticker that costs \$0.36 and a gumball that costs \$0.16. The sales tax is 5.75%. What is the total cost?
Solution
Total cost without tax = \$0.36 + \$0.16 = \$0.52.
Sales tax is 5.75% so you will pay 5.75% × \$0.52 = \$0.03 for sales tax.
Total cost with sales tax = \$0.52 + \$0.03 = \$0.55.

### Complexity=5, Mode=discount

Find the total costs asked for.

1A store offers a 15% discount on a deck of cards that retails for \$3. The sales tax is 6.5%. What does the deck of cards cost?
Solution
Size of discount = \$3 * 15 / 100 = \$0.45.
Discounted price = \$3 - \$0.45 = \$2.55.
Sales tax = \$2.55 × 6.5/100 = \$0.17.
Total cost = \$2.55 + \$0.17 = \$2.72.
2A store offers a 10% discount on a magazine that retails for \$5. The sales tax is 6.25%. What does the magazine cost?
Solution
Size of discount = \$5 * 10 / 100 = \$0.50.
Discounted price = \$5 - \$0.50 = \$4.50.
Sales tax = \$4.50 × 6.25/100 = \$0.28.
Total cost = \$4.50 + \$0.28 = \$4.78.

### Complexity=6, Mode=discount

Find the total costs asked for.

1A store offers a 50% discount on a book that retails for \$29. The sales tax is 7.25%. What does the book cost?
Solution
Size of discount = \$29 * 50 / 100 = \$14.50.
Discounted price = \$29 - \$14.50 = \$14.50.
Sales tax = \$14.50 × 7.25/100 = \$1.05.
Total cost = \$14.50 + \$1.05 = \$15.55.
2A store offers a 15% discount on a video game that retails for \$33. The sales tax is 7.5%. What does the video game cost?
Solution
Size of discount = \$33 * 15 / 100 = \$4.95.
Discounted price = \$33 - \$4.95 = \$28.05.
Sales tax = \$28.05 × 7.5/100 = \$2.10.
Total cost = \$28.05 + \$2.10 = \$30.15.

### Complexity=6, Mode=markup

Find the total costs asked for.

1A store offers a 35% discount on a tie that was marked up by 20% from the original retail price of \$36. The sales tax is 7.75%. What does the tie cost?
Solution
Markup is 20% so that means you need to pay (100 + 20)% = 120% of the original retail price of the tie.
Cost after markup = \$36 × 120% = \$36 × 1.2 = \$43.2.
Discount is 35% so that means you only need to pay (100 - 35)% = 65% of the cost so far for the tie.
Cost with discount = \$43.2 × 65% = \$43.2 × 0.65 = \$28.08.
Sales tax is 7.75% so you will pay 7.75% × \$28.08 = \$2.18 for sales tax.
Total cost with sales tax = \$28.08 + \$2.18 = \$30.26.

Alternate Solution:
(1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost.
1.2 × 0.65 × 1.0775 × \$36 = \$30.26.
2A store offers a 40% discount on a video game that was marked up by 5% from the original retail price of \$39. The sales tax is 9%. What does the video game cost?
Solution
Markup is 5% so that means you need to pay (100 + 5)% = 105% of the original retail price of the video game.
Cost after markup = \$39 × 105% = \$39 × 1.05 = \$40.95.
Discount is 40% so that means you only need to pay (100 - 40)% = 60% of the cost so far for the video game.
Cost with discount = \$40.95 × 60% = \$40.95 × 0.6 = \$24.57.
Sales tax is 9% so you will pay 9% × \$24.57 = \$2.21 for sales tax.
Total cost with sales tax = \$24.57 + \$2.21 = \$26.78.

Alternate Solution:
(1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost.
1.05 × 0.6 × 1.09 × \$39 = \$26.78.

### Complexity=7, Mode=markup

Find the total costs asked for.

1A store offers a 30% discount on a clarinet that was marked up by 5% from the original retail price of \$405. The sales tax is 9%. What does the clarinet cost?
Solution
Markup is 5% so that means you need to pay (100 + 5)% = 105% of the original retail price of the clarinet.
Cost after markup = \$405 × 105% = \$405 × 1.05 = \$425.25.
Discount is 30% so that means you only need to pay (100 - 30)% = 70% of the cost so far for the clarinet.
Cost with discount = \$425.25 × 70% = \$425.25 × 0.7 = \$297.67.
Sales tax is 9% so you will pay 9% × \$297.67 = \$26.79 for sales tax.
Total cost with sales tax = \$297.67 + \$26.79 = \$324.47.

Alternate Solution:
(1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost.
1.05 × 0.7 × 1.09 × \$405 = \$324.47.
2A store offers a 25% discount on a computer that was marked up by 20% from the original retail price of \$495. The sales tax is 5.25%. What does the computer cost?
Solution
Markup is 20% so that means you need to pay (100 + 20)% = 120% of the original retail price of the computer.
Cost after markup = \$495 × 120% = \$495 × 1.2 = \$594.
Discount is 25% so that means you only need to pay (100 - 25)% = 75% of the cost so far for the computer.
Cost with discount = \$594 × 75% = \$594 × 0.75 = \$445.50.
Sales tax is 5.25% so you will pay 5.25% × \$445.50 = \$23.39 for sales tax.
Total cost with sales tax = \$445.50 + \$23.39 = \$468.89.

Alternate Solution:
(1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost.
1.2 × 0.75 × 1.0525 × \$495 = \$468.89.

### Complexity=9

Find the total costs asked for.

1You wish to buy a binder that costs \$5 and a book that costs \$8. The sales tax is 9.25%. What is the total cost?
Solution
Total cost without tax = \$5 + \$8 = \$13.00.
Sales tax is 9.25% so you will pay 9.25% × \$13.00 = \$1.20 for sales tax.
Total cost with sales tax = \$13.00 + \$1.20 = \$14.20.
2You wish to buy a pencil that costs \$0.83 and a trumpet that costs \$778. The sales tax is 5.75%. What is the total cost?
Solution
Total cost without tax = \$0.83 + \$778 = \$778.83.
Sales tax is 5.75% so you will pay 5.75% × \$778.83 = \$44.78 for sales tax.
Total cost with sales tax = \$778.83 + \$44.78 = \$823.61.

### Complexity=10

Find the total costs asked for.

1You wish to buy a pencil that costs \$0.21 and a stuffed animal that costs \$4. The sales tax is 9.25%. What is the total cost?
Solution
Total cost without tax = \$0.21 + \$4 = \$4.21.
Sales tax is 9.25% so you will pay 9.25% × \$4.21 = \$0.39 for sales tax.
Total cost with sales tax = \$4.21 + \$0.39 = \$4.60.