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?
 $135
 $160
 $180
 $210
 $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?
 $9.765.45
 $10,876.90
 $12,359.55
 $14,345.48
 $15,745.45
3. How many years does Steven need to invest his $3,000 at 7% to earn $210 in simple interest?
 1 year
 2 years
 3 years
 4 years
 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?
 15%
 16.7%
 17.2%
 85%
 117%
5. 35% of what number is 70?
 100
 110
 150
 175
 200
6. What number is 5% of 2000?
 50
 100
 150
 200
 250
7. What percent of 90 is 27?
 15%
 20%
 30%
 33%
 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?
 2.7%
 3.3%
 133%
 4.8%
 105%
9. If 45 is 120% of a number, what is 80% of the same number?
 30
 32
 36
 38
 41
10. How long will Lucy have to wait before her $2,500 invested at 6% earns $600 in simple interest?
 2 years
 3 years
 4 years
 5 years
 6 years
11. What is 35% of a number if 12 is 15% of a number?
 5
 12
 28
 33
 62
12. A computer is on sale for $1600, which is a 20% discount off the regular price. What is the regular price?
 $1800
 $1900
 $2000
 $2100
 $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?
 $29,250
 $31,200
 $32,500
 $33,800
 $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?
 $24,200
 $28,900
 $35,600
 $37,300
 $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?
 10.5%
 16.7%
 25%
 32.3%
 38%
16. If 6 is 24% of a number, what is 40% of the same number
 8
 10
 15
 20
 25
17. 25% of 400 =
 100
 200
 800
 10,000
 12,000
18. 22% of $900 =
 90
 198
 250
 325
 375
19. Which of the following percentages is equal to 0.45?
 0.045%
 0.45%
 4.5%
 45%
 0.0045%
20. Which of these percentages equals 1.25?
 0.125%
 12.5%
 125%
 1250%
 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, (14,00012,000)/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=(39,000x)/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%.
Additional Percent and Ratio Practice
by Enoch Morrison
Comments:
