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Through this pdf, you will learn some of the percentage problems with their solutions.

1.
Percent Word Problems

Ratio and proportion method

Here are several aids that will help you solve word problems:

1. Make sure you understand the question that is asked

2. Sort out the information to make a basic percent problem, such

as “30% of what is 17?”

3. Sometimes, you will have to subtract or add some of the numbers.

4. The base will always be the original number, price, or total.

Some examples of percent word problems.

A baseball pitcher won 80% of the games he pitched. If he pitched 35

ballgames, how many games did he win?

80% of 35 is what?

1. Multiply the opposites

80 x 35 = 2800

80 2. Divide by the remaining number

100 35 28

100 2800

28 games

Jerry, an electrician, worked 7 months out of the year. What percent

of the year did he work? (round answer to the nearest hundredth)

What percent of 12 is 7? 12 months = 1 year

1. Multiply the opposites

7 7 x 100 = 700

100 12 2. Divide by the remaining number

58.33

12 700.00

58.33% (rounded to hundredth)

Percent Word Problems Handout

Revised @2009 MLC page 1 of 8

Ratio and proportion method

Here are several aids that will help you solve word problems:

1. Make sure you understand the question that is asked

2. Sort out the information to make a basic percent problem, such

as “30% of what is 17?”

3. Sometimes, you will have to subtract or add some of the numbers.

4. The base will always be the original number, price, or total.

Some examples of percent word problems.

A baseball pitcher won 80% of the games he pitched. If he pitched 35

ballgames, how many games did he win?

80% of 35 is what?

1. Multiply the opposites

80 x 35 = 2800

80 2. Divide by the remaining number

100 35 28

100 2800

28 games

Jerry, an electrician, worked 7 months out of the year. What percent

of the year did he work? (round answer to the nearest hundredth)

What percent of 12 is 7? 12 months = 1 year

1. Multiply the opposites

7 7 x 100 = 700

100 12 2. Divide by the remaining number

58.33

12 700.00

58.33% (rounded to hundredth)

Percent Word Problems Handout

Revised @2009 MLC page 1 of 8

2.
Sometimes the information needed to solve a percent word problem is not

stated directly. You will need to sort out the numbers given in the problem.

Organizing all the information into a box format will help you see what

numbers you have and what you need.

Some examples.

There are 28 students in a class. Sixteen of those students are men.

What percent of the class are women? (Round to the nearest tenth)

Men % 16 28 total students

Women % 12 -16 men

Total 100% 28 12 women

12 is what % of 28? 1. Multiple the opposites

100 x 12 = 1200

12 2. Divide by the remaining number

100 28 42.85

28 1200.00

42.9%

`

Donovan took a math test and got 35 correct and 10 incorrect answers.

What was the percentage of correct answers? (Round to the nearest

hundredth)

Correct answers % 35 35 correct answers

Incorrect answers % 10 +10 incorrect answers

Total answers 100% 45 45 total answers

35 is what % of 45?

1. Multiple the opposites

35 100 x 35 = 3500

2. Divide by the remaining number

100 45

77.777

45 3500.000

77.78% (rounded to hundredth)

Percent Word Problems Handout

Revised @2009 MLC page 2 of 8

stated directly. You will need to sort out the numbers given in the problem.

Organizing all the information into a box format will help you see what

numbers you have and what you need.

Some examples.

There are 28 students in a class. Sixteen of those students are men.

What percent of the class are women? (Round to the nearest tenth)

Men % 16 28 total students

Women % 12 -16 men

Total 100% 28 12 women

12 is what % of 28? 1. Multiple the opposites

100 x 12 = 1200

12 2. Divide by the remaining number

100 28 42.85

28 1200.00

42.9%

`

Donovan took a math test and got 35 correct and 10 incorrect answers.

What was the percentage of correct answers? (Round to the nearest

hundredth)

Correct answers % 35 35 correct answers

Incorrect answers % 10 +10 incorrect answers

Total answers 100% 45 45 total answers

35 is what % of 45?

1. Multiple the opposites

35 100 x 35 = 3500

2. Divide by the remaining number

100 45

77.777

45 3500.000

77.78% (rounded to hundredth)

Percent Word Problems Handout

Revised @2009 MLC page 2 of 8

3.
Percent Word Problems

Directions: Set up a basic percent problem. Sometimes you will have to do

extra steps to solve the problem. Follow rounding directions. Answers and

solutions start on page 6.

1) A student earned a grade of 80% on a math test that had

20 problems. How many problems on this test did the

student answer correctly? (round to the nearest whole

number)

2) There are 36 carpenters in a crew. On a certain day, 29

were present. What percent showed up for work? (round to

the nearest tenth)

3) A metal bar weighs 8.15 ounces. 93% of the bar is silver.

How many ounces of silver are in the bar? (round to the

nearest thousandth)

4) A woman put $580 into a savings account for one year. The

rate of interest on the account was 6½%. How much was the

interest for the year in dollars and cents? (Round to the

nearest cent)

Percent Word Problems Handout

Revised @2009 MLC page 3 of 8

Directions: Set up a basic percent problem. Sometimes you will have to do

extra steps to solve the problem. Follow rounding directions. Answers and

solutions start on page 6.

1) A student earned a grade of 80% on a math test that had

20 problems. How many problems on this test did the

student answer correctly? (round to the nearest whole

number)

2) There are 36 carpenters in a crew. On a certain day, 29

were present. What percent showed up for work? (round to

the nearest tenth)

3) A metal bar weighs 8.15 ounces. 93% of the bar is silver.

How many ounces of silver are in the bar? (round to the

nearest thousandth)

4) A woman put $580 into a savings account for one year. The

rate of interest on the account was 6½%. How much was the

interest for the year in dollars and cents? (Round to the

nearest cent)

Percent Word Problems Handout

Revised @2009 MLC page 3 of 8

4.
5) A student answered 86 problems on a test correctly and

received a grade 98%. How many problems were on the test,

if all the problems were worth the same number of points?

(Round to the nearest whole number)

6) Manuel found a wrecked Trans-Am that he could fix. He

bought the car for 65% of the original price of $7200.

What did he pay for the car? (Round to nearest dollar)

7) Pamela bought an electric drill at 85% of the regular price.

She paid $32.89 for the drill. What was the regular price?

(Round to the nearest cent)

2

8) A crew is made up of 8 men; the rest are women. 66 % of

3

the crew are men. How many people are in the crew?

9) Ben earns $12,800 a year. About 15% is taken out for taxes.

How much is taken out for taxes?

Percent Word Problems Handout

Revised @2009 MLC page 4 of 8

received a grade 98%. How many problems were on the test,

if all the problems were worth the same number of points?

(Round to the nearest whole number)

6) Manuel found a wrecked Trans-Am that he could fix. He

bought the car for 65% of the original price of $7200.

What did he pay for the car? (Round to nearest dollar)

7) Pamela bought an electric drill at 85% of the regular price.

She paid $32.89 for the drill. What was the regular price?

(Round to the nearest cent)

2

8) A crew is made up of 8 men; the rest are women. 66 % of

3

the crew are men. How many people are in the crew?

9) Ben earns $12,800 a year. About 15% is taken out for taxes.

How much is taken out for taxes?

Percent Word Problems Handout

Revised @2009 MLC page 4 of 8

5.
10) At a sale, shirts were sold for $15 each. This price was 80%

of their original price. What was the original price?

11) There are 32 students in a class. Nine of those students are

women. What percent are men? (round to the nearest tenth)

12) The Royals softball team played 75 games and won 55 of

them. What percent of the games did they lose? (round to

the nearest tenth)

Percent Word Problems Handout

Revised @2009 MLC page 5 of 8

of their original price. What was the original price?

11) There are 32 students in a class. Nine of those students are

women. What percent are men? (round to the nearest tenth)

12) The Royals softball team played 75 games and won 55 of

them. What percent of the games did they lose? (round to

the nearest tenth)

Percent Word Problems Handout

Revised @2009 MLC page 5 of 8

6.
Answer Key

80 Multiply the opposites:

100 20 80 x 20 = 1600

Divide by the remaining number:

16

100 1600

16 problems

29 Multiply the opposites:

100 36 29 x 100 = 2900

Divide by the remaining number:

80 .55

36 2900 .00

80.6%

93 Multiply the opposites:

100 8.15 93 x 8.15 = 757.95

Divide by the remaining number:

7.5795

100 757 .9500

7.580 ounces

61 Multiply the opposites:

4. 2

100 580 6 ½ x 580 = 3770

Divide by the remaining number:

37 .70

100 3770 .00

$37.70

98 86 Multiply the opposites:

100 100 x 86 = 8600

Divide by the remaining number:

87 .7

98 8600 .0

88 problems (rounded to nearest whole)

Percent Word Problems Handout

Revised @2009 MLC page 6 of 8

80 Multiply the opposites:

100 20 80 x 20 = 1600

Divide by the remaining number:

16

100 1600

16 problems

29 Multiply the opposites:

100 36 29 x 100 = 2900

Divide by the remaining number:

80 .55

36 2900 .00

80.6%

93 Multiply the opposites:

100 8.15 93 x 8.15 = 757.95

Divide by the remaining number:

7.5795

100 757 .9500

7.580 ounces

61 Multiply the opposites:

4. 2

100 580 6 ½ x 580 = 3770

Divide by the remaining number:

37 .70

100 3770 .00

$37.70

98 86 Multiply the opposites:

100 100 x 86 = 8600

Divide by the remaining number:

87 .7

98 8600 .0

88 problems (rounded to nearest whole)

Percent Word Problems Handout

Revised @2009 MLC page 6 of 8

7.
65 Multiply the opposites:

100 7200 65 x 7200 = 468,000

Divide by the remaining number:

4680

100 468000

$4680

85 32.89 Multiply the opposites:

100 100 x 32.89 = 3289

Divide by the remaining number:

38 .694

85 3289 .000

$38.69

66 2 8 Multiply the opposites:

8. 3

100 x 8 = 800

100

Divide by the remaining number:

4

800 200 800 3 12

800 66 2

3 1 3 1 200 1

12 1

15 Multiply the opposites:

100 12,800 15 x 12,800 = 192,000

Divide by the remaining number:

1920

100 192000

$1920

80 15 Multiply the opposites:

100 100 x 15 = 1500

Divide by the remaining number:

18 .75

80 1500 .00

Percent Word Problems Handout

Revised @2009 MLC page 7 of 8

100 7200 65 x 7200 = 468,000

Divide by the remaining number:

4680

100 468000

$4680

85 32.89 Multiply the opposites:

100 100 x 32.89 = 3289

Divide by the remaining number:

38 .694

85 3289 .000

$38.69

66 2 8 Multiply the opposites:

8. 3

100 x 8 = 800

100

Divide by the remaining number:

4

800 200 800 3 12

800 66 2

3 1 3 1 200 1

12 1

15 Multiply the opposites:

100 12,800 15 x 12,800 = 192,000

Divide by the remaining number:

1920

100 192000

$1920

80 15 Multiply the opposites:

100 100 x 15 = 1500

Divide by the remaining number:

18 .75

80 1500 .00

Percent Word Problems Handout

Revised @2009 MLC page 7 of 8

8.
$18.75

Total 100% 32 32

Men 23 9

Women 9 23

23 Multiply the opposites:

100 32 100 x 23 = 2300

Divide by the remaining number:

71.87

32 2300.00

71.9%(rounded to nearest tenth)

Total 100% 75 75

Won 55 55

Lost 20 20

20 Multiply the opposites:

100 75 100 x 20 = 2000

Divide by the remaining number:

26.667

75 2000.000

26.7% games lost (rounded to tenth)

Percent Word Problems Handout

Revised @2009 MLC page 8 of 8

Total 100% 32 32

Men 23 9

Women 9 23

23 Multiply the opposites:

100 32 100 x 23 = 2300

Divide by the remaining number:

71.87

32 2300.00

71.9%(rounded to nearest tenth)

Total 100% 75 75

Won 55 55

Lost 20 20

20 Multiply the opposites:

100 75 100 x 20 = 2000

Divide by the remaining number:

26.667

75 2000.000

26.7% games lost (rounded to tenth)

Percent Word Problems Handout

Revised @2009 MLC page 8 of 8