## 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.

See some of our other supported math practice problems.

### Complexity=4, Mode=tax

Find the total costs asked for.
 1 You wish to buy an eraser that costs \$0.65 and a jaw breaker that costs \$0.12. The sales tax is 5.25%. What is the total cost? 2 You wish to buy an eraser that costs \$0.52 and a pencil that costs \$0.40. The sales tax is 6.25%. What is the total cost?

### Complexity=5, Mode=discount

Find the total costs asked for.
 1 A store offers a 15% discount on a pound of apples that retails for \$3. The sales tax is 7.75%. What does the pound of apples cost? 2 A store offers a 30% discount on a shirt that retails for \$9. The sales tax is 9.5%. What does the shirt cost?

### Complexity=6, Mode=discount

Find the total costs asked for.
 1 A store offers a 35% discount on a pair of pants that retails for \$30. The sales tax is 8.75%. What does the pair of pants cost? 2 A store offers a 45% discount on a pair of shoes that retails for \$29. The sales tax is 8%. What does the pair of shoes cost?

### Complexity=6, Mode=markup

Find the total costs asked for.
 1 A store offers a 35% discount on a skirt that was marked up by 25% from the original retail price of \$49. The sales tax is 8.25%. What does the skirt cost? 2 A store offers a 20% discount on a calculator that was marked up by 20% from the original retail price of \$10. The sales tax is 8.5%. What does the calculator cost?

### Complexity=7, Mode=markup

Find the total costs asked for.
 1 A store offers a 35% discount on a clarinet that was marked up by 15% from the original retail price of \$646. The sales tax is 7%. What does the clarinet cost? 2 A store offers a 45% discount on a trumpet that was marked up by 25% from the original retail price of \$412. The sales tax is 8.25%. What does the trumpet cost?

### Complexity=9

Find the total costs asked for.
 1 A store offers a 20% discount on a computer that was marked up by 25% from the original retail price of \$624. The sales tax is 7.5%. What does the computer cost? 2 A store offers a 25% discount on a video game that was marked up by 25% from the original retail price of \$42. The sales tax is 8.75%. What does the video game cost?

### Complexity=10

Find the total costs asked for.
 1 You wish to buy a guitar that costs \$397 and a toy car that costs \$7. The sales tax is 9.75%. What is the total cost? 2 A store offers a 50% discount on a trumpet that retails for \$257. The sales tax is 7%. What does the trumpet cost?

### Complexity=4, Mode=tax

Find the total costs asked for.
1You wish to buy an eraser that costs \$0.65 and a jaw breaker that costs \$0.12. The sales tax is 5.25%. What is the total cost?
Solution
Total cost without tax = \$0.65 + \$0.12 = \$0.77.
Sales tax is 5.25% so you will pay 5.25% × \$0.77 = \$0.04 for sales tax.
Total cost with sales tax = \$0.77 + \$0.04 = \$0.81.
2You wish to buy an eraser that costs \$0.52 and a pencil that costs \$0.40. The sales tax is 6.25%. What is the total cost?
Solution
Total cost without tax = \$0.52 + \$0.40 = \$0.92.
Sales tax is 6.25% so you will pay 6.25% × \$0.92 = \$0.06 for sales tax.
Total cost with sales tax = \$0.92 + \$0.06 = \$0.98.

### Complexity=5, Mode=discount

Find the total costs asked for.
1A store offers a 15% discount on a pound of apples that retails for \$3. The sales tax is 7.75%. What does the pound of apples cost?
Solution
Size of discount = \$3 * 15 / 100 = \$0.45.
Discounted price = \$3 - \$0.45 = \$2.55.
Sales tax = \$2.55 × 7.75/100 = \$0.20.
Total cost = \$2.55 + \$0.20 = \$2.75.
2A store offers a 30% discount on a shirt that retails for \$9. The sales tax is 9.5%. What does the shirt cost?
Solution
Size of discount = \$9 * 30 / 100 = \$2.70.
Discounted price = \$9 - \$2.70 = \$6.30.
Sales tax = \$6.30 × 9.5/100 = \$0.60.
Total cost = \$6.30 + \$0.60 = \$6.90.

### Complexity=6, Mode=discount

Find the total costs asked for.
1A store offers a 35% discount on a pair of pants that retails for \$30. The sales tax is 8.75%. What does the pair of pants cost?
Solution
Size of discount = \$30 * 35 / 100 = \$10.50.
Discounted price = \$30 - \$10.50 = \$19.50.
Sales tax = \$19.50 × 8.75/100 = \$1.71.
Total cost = \$19.50 + \$1.71 = \$21.21.
2A store offers a 45% discount on a pair of shoes that retails for \$29. The sales tax is 8%. What does the pair of shoes cost?
Solution
Size of discount = \$29 * 45 / 100 = \$13.05.
Discounted price = \$29 - \$13.05 = \$15.95.
Sales tax = \$15.95 × 8/100 = \$1.28.
Total cost = \$15.95 + \$1.28 = \$17.23.

### Complexity=6, Mode=markup

Find the total costs asked for.
1A store offers a 35% discount on a skirt that was marked up by 25% from the original retail price of \$49. The sales tax is 8.25%. What does the skirt cost?
Solution
Markup is 25% so that means you need to pay (100 + 25)% = 125% of the original retail price of the skirt.
Cost after markup = \$49 × 125% = \$49 × 1.25 = \$61.25.
Discount is 35% so that means you only need to pay (100 - 35)% = 65% of the cost so far for the skirt.
Cost with discount = \$61.25 × 65% = \$61.25 × 0.65 = \$39.81.
Sales tax is 8.25% so you will pay 8.25% × \$39.81 = \$3.28 for sales tax.
Total cost with sales tax = \$39.81 + \$3.28 = \$43.10.

Alternate Solution:
(1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost.
1.25 × 0.65 × 1.0825 × \$49 = \$43.10.
2A store offers a 20% discount on a calculator that was marked up by 20% from the original retail price of \$10. The sales tax is 8.5%. What does the calculator cost?
Solution
Markup is 20% so that means you need to pay (100 + 20)% = 120% of the original retail price of the calculator.
Cost after markup = \$10 × 120% = \$10 × 1.2 = \$12.
Discount is 20% so that means you only need to pay (100 - 20)% = 80% of the cost so far for the calculator.
Cost with discount = \$12 × 80% = \$12 × 0.8 = \$9.60.
Sales tax is 8.5% so you will pay 8.5% × \$9.60 = \$0.82 for sales tax.
Total cost with sales tax = \$9.60 + \$0.82 = \$10.42.

Alternate Solution:
(1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost.
1.2 × 0.8 × 1.085 × \$10 = \$10.42.

### Complexity=7, Mode=markup

Find the total costs asked for.
1A store offers a 35% discount on a clarinet that was marked up by 15% from the original retail price of \$646. The sales tax is 7%. What does the clarinet cost?
Solution
Markup is 15% so that means you need to pay (100 + 15)% = 115% of the original retail price of the clarinet.
Cost after markup = \$646 × 115% = \$646 × 1.15 = \$742.9.
Discount is 35% so that means you only need to pay (100 - 35)% = 65% of the cost so far for the clarinet.
Cost with discount = \$742.9 × 65% = \$742.9 × 0.65 = \$482.88.
Sales tax is 7% so you will pay 7% × \$482.88 = \$33.80 for sales tax.
Total cost with sales tax = \$482.88 + \$33.80 = \$516.69.

Alternate Solution:
(1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost.
1.15 × 0.65 × 1.07 × \$646 = \$516.69.
2A store offers a 45% discount on a trumpet that was marked up by 25% from the original retail price of \$412. The sales tax is 8.25%. What does the trumpet cost?
Solution
Markup is 25% so that means you need to pay (100 + 25)% = 125% of the original retail price of the trumpet.
Cost after markup = \$412 × 125% = \$412 × 1.25 = \$515.
Discount is 45% so that means you only need to pay (100 - 45)% = 55% of the cost so far for the trumpet.
Cost with discount = \$515 × 55% = \$515 × 0.55 = \$283.25.
Sales tax is 8.25% so you will pay 8.25% × \$283.25 = \$23.37 for sales tax.
Total cost with sales tax = \$283.25 + \$23.37 = \$306.62.

Alternate Solution:
(1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost.
1.25 × 0.55 × 1.0825 × \$412 = \$306.62.

### Complexity=9

Find the total costs asked for.
1A store offers a 20% discount on a computer that was marked up by 25% from the original retail price of \$624. The sales tax is 7.5%. What does the computer cost?
Solution
Markup is 25% so that means you need to pay (100 + 25)% = 125% of the original retail price of the computer.
Cost after markup = \$624 × 125% = \$624 × 1.25 = \$780.
Discount is 20% so that means you only need to pay (100 - 20)% = 80% of the cost so far for the computer.
Cost with discount = \$780 × 80% = \$780 × 0.8 = \$624.00.
Sales tax is 7.5% so you will pay 7.5% × \$624.00 = \$46.80 for sales tax.
Total cost with sales tax = \$624.00 + \$46.80 = \$670.80.

Alternate Solution:
(1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost.
1.25 × 0.8 × 1.075 × \$624 = \$670.80.
2A store offers a 25% discount on a video game that was marked up by 25% from the original retail price of \$42. The sales tax is 8.75%. What does the video game cost?
Solution
Markup is 25% so that means you need to pay (100 + 25)% = 125% of the original retail price of the video game.
Cost after markup = \$42 × 125% = \$42 × 1.25 = \$52.5.
Discount is 25% so that means you only need to pay (100 - 25)% = 75% of the cost so far for the video game.
Cost with discount = \$52.5 × 75% = \$52.5 × 0.75 = \$39.38.
Sales tax is 8.75% so you will pay 8.75% × \$39.38 = \$3.45 for sales tax.
Total cost with sales tax = \$39.38 + \$3.45 = \$42.82.

Alternate Solution:
(1 + markup) × (1 - discount) × (1 + sales tax) × original cost = total cost.
1.25 × 0.75 × 1.0875 × \$42 = \$42.82.

### Complexity=10

Find the total costs asked for.
1You wish to buy a guitar that costs \$397 and a toy car that costs \$7. The sales tax is 9.75%. What is the total cost?
Solution
Total cost without tax = \$397 + \$7 = \$404.00.
Sales tax is 9.75% so you will pay 9.75% × \$404.00 = \$39.39 for sales tax.
Total cost with sales tax = \$404.00 + \$39.39 = \$443.39.