Percent and Ratio Practice Questions

1. If a discount of 25% off the retail price of a desk saves Mark $45, how much did he pay for the desk?

1. $135
2. $160
3. $180
4. $210
5. $215

2. A customer pays $1,100 in state taxes on a newly purchased car. What is the value of the car if state taxes are 8.9% of the value?

1. $9.765.45
2. $10,876.90
3. $12,359.55
4. $14,345.48
5. $15,745.45

3. How many years does Steven need to invest his $3,000 at 7% to earn $210 in simple interest?

1. 1 year
2. 2 years
3. 3 years
4. 4 years
5. 5 years

4. Sabrina's boss states that she will increase Sabrina's salary from $12,000 to $14,000 per year if she enrolls in business courses at a local community college. What percent increase in salary will result from Sabrina taking the business courses?

1. 15%
2. 16.7%
3. 17.2%
4. 85%
5. 117%

5. 35% of what number is 70?

1. 100
2. 110
3. 150
4. 175
5. 200

6. What number is 5% of 2000?

1. 50
2. 100
3. 150
4. 200
5. 250

7. What percent of 90 is 27?

1. 15%
2. 20%
3. 30%
4. 33%
5. 41%

8. Jim works for $15.50 per hour for a health care facility. He is supposed to get a 75 cent per hour raise at one year of service. What will his percent increase in hourly pay be?

1. 2.7%
2. 3.3%
3. 133%
4. 4.8%
5. 105%

9. If 45 is 120% of a number, what is 80% of the same number?

1. 30
2. 32
3. 36
4. 38
5. 41

10. How long will Lucy have to wait before her $2,500 invested at 6% earns $600 in simple interest?

1. 2 years
2. 3 years
3. 4 years
4. 5 years
5. 6 years

11. What is 35% of a number if 12 is 15% of a number?

1. 5
2. 12
3. 28
4. 33
5. 62

12. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?

1. $1800
2. $1900
3. $2000
4. $2100
5. $2200

13. A car dealer sells a SUV for $39,000, which represents a 25% markup over the dealer's cost. What was the cost of the SUV to the dealer?

1. $29,250
2. $31,200
3. $32,500
4. $33,800
5. $33,999

14. After having to pay increased income taxes this year, Edmond has to sell his BMW. Edmond bought the car for $49,000, but he sold it for a 20% loss. What did Edmond sell the car for?

1. $24,200
2. $28,900
3. $35,600
4. $37,300
5. $39,200

15. At a company fish fry, ½ in attendance are employees. Employees' spouses are 1/3 of the attendance. What is the percentage of the people in attendance who are not employees or employee spouses?

1. 10.5%
2. 16.7%
3. 25%
4. 32.3%
5. 38%

16. If 6 is 24% of a number, what is 40% of the same number

1. 8
2. 10
3. 15
4. 20
5. 25

17. 25% of 400 =

1. 100
2. 200
3. 800
4. 10,000
5. 12,000

18. 22% of $900 =

1. 90
2. 198
3. 250
4. 325
5. 375

19. Which of the following percentages is equal to 0.45?

1. 0.045%
2. 0.45%
3. 4.5%
4. 45%
5. 0.0045%

20. Which of these percentages equals 1.25?

1. 0.125%
2. 12.5%
3. 125%
4. 1250%
5. 1250.5%

Answers & Explanations

1. A: The original price of the desk may be found by solving the equation, 0.25x = 45. Thus, x = 180. However, this is the original price of the desk. Since he saves $45, he pays $45 less, or $135.
2. C: The following equation may be used to find the value of the car: 1,100 = 0.089x. Solving for x gives x ≈ 12,359.55. Thus, the value of the car is $12,359.55.
3. A: The formula, I = Prt, represents the amount of interest earned, for a particular principal, interest rate, and amount of time. Substituting 210 for I, 3000 for P and 0.07 for r gives: 210 = 3000(0.07)t. Solving for t gives t = 1. Thus, he will earn $210 in interest, after 1 year.
4. B: The percent increase may be modeled by the expression, (14,000-12,000)/12,000, which equals 16.7%.
5. E: The equation, 0.35x = 70, may be used to solve the problem. Dividing both sides of the equation by 0.35 gives x = 200.
6. B: The problem may be modeled as x = 0.05(2000). Thus, 100 is 5% of 2000.
7. C: The problem may be modeled as 90x = 27. Dividing both sides of the equation by 90 gives x = 0.3 or 30%.
8. D: The percent increase may be modeled by the expression, 0.75/15.50, which is approximately 0.048, or 4.8%.
9. A: The first part of the problem may be modeled with the equation, 45 = 1.2x. Solving for x gives x = 37.5. 80% of 37.5 may be written as 0.80(37.5), which equals 30.
10. C: The formula, I = Prt, represents the amount of interest earned, for a particular principal, interest rate, and amount of time. Substituting 600 for I, 2500 for P and 0.06 for r gives: 600 = 2500(0.06)t. Solving for t gives t = 4. Thus, she will have to wait 4 years to earn $600 in interest.
11. C: The second part of the problem may be modeled with the equation, 12 = 0.15x. Solving for x gives x = 80. Thus, the number is 80. 35% of 80 may be written as 0.35(80), which equals 28.
12. C: The sale price of the computer is 80% of the regular price. Thus, the following equation may be used to solve the problem: 1600 = 0.80x. Solving for x gives x = 2000. Thus, the regular price of the computer is $2000.
13. B: The following equation may be used to solve the problem: 0.25=(39,000-x)/x. Multiplying both sides of the equation by x gives 0.25x = 39,000 - x. Adding x to both sides of the equation gives 1.25x = 39,000, where x = 31,200. Thus, the cost of the SUV to the dealer was $31,200.
14. E: The problem may be modeled by the expression, 49,000 - (0.20(49,000)), which equals 39,200. Thus, he had to sell the car for $39,200.
15. B: The attendance of employees and spouses may be modeled as 1/2+1/3, or 5/6. Thus, 1/6 of those, in attendance, who are not employees or spouses, is approximately 16.7%.
16. B: The first part of the problem may be modeled with the equation, 6 = 0.24x. Solving for x gives x = 25. Thus, the number is 25. 40% of this number may be written as 0.40(25), which equals 10.
17. A: The problem may be modeled as 0.25(400), which equals 100.
18. B: The problem may be modeled as 0.22(900), which equals 198.
19. D: The percentage may be obtained by multiplying 0.45 by 100. Doing so gives 45%.
20. C: The percentage may be obtained by multiplying 1.25 by 100. Doing so gives 125%.