PRACTICE WORD PROBLEMS ON PERCENTAGE

Problem 1 :

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)

Solution

Problem 2 :

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)

Solution

Problem 3 :

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)               Solution

Problem 4 :

A crew is made up of 8 men, the rest are women. 66  2/3 % of the crew are men. How many people are in the crew?

Solution

Problem 5 :

Ben earns $12,800 a year. About 15% is taken out for taxes. How much is taken out for taxes?         Solution

Problem 6 :

At a sale, shirts were sold for $15 each. This price was 80% of their original price. What was the original price?

Solution

Problem 7 :

There are 32 students in a class. Nine of those students are women. What percent are men? (round to the nearest tenth)              Solution

Problem 8 :

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)              Solution

Problem 9 :

In a survey, a group of students were asked their favorite sport. “Other” sports were chosen by 18 people.

a. How many students participated?

b. How many chose football?

Solution

Problem 10 :

Describe and correct the error in using the percent proportion to answer the question below. “40% of what number is 34?

Solution

Problem 11 :

Of 140 seventh-grade students, 15% earn the Presidential Physical Fitness Award. How many students earn the award?

Solution

Problem 12 :

A salesperson receives a 3% commission on sales. The salesperson receives $180 in commission. What is the amount of sales?

Solution

Problem 1 :

36 is 25% of what number?

Solution

Problem 2 :

8.2% of what number is $2.87?

Solution

Problem 3 :

What percent of 1,800 is 846?

Solution

Problem 4 :

What percent of 1,500 is 540?

Solution

Problem 5 :

50 is what percent of 40?

Solution

Problem 6 :

What percent of 260 is 78?

Solution

Problem 7 :

790 is what percent of 395?

Solution

Problem 8 :

a. Find the percent of sales tax on the food total.

b. Find the amount of a 16% tip on the food total.

Solution

Problem 9 :

A pitcher throws 75 pitches. Of these, 72% were strikes. How many strikes did the pitcher throw?

Solution

Problem 10 :

Your school raised 125% of its fundraising goal. The school raised $6750. What was the goal?

Solution

Problem 11 :

The sales tax on a surfboard is $12. What is the percent of sales tax?

Solution

Problem 12 :

The percents of three types of tickets collected at the gate for a high school football game are shown.

a)  Write the percents as decimal and as fractions.

b) There is one type of ticket that is not shown. It is a ticket for a child under 5. What percent of the tickets were of this type ?

Solution

Problem 13 :

There were w signers of the Declaration of Independence. The youngest was Edward Rutledge, who was x years old. The oldest was Benjamin Franklin, who was y years old.

a) x is 25% of 104. What was Rutledge’s age?

b) 7 is 10% of y. What was Franklin’s age?

c) w is 80% of y. How many signers were there?

d) y is what percent of (w + y − x)?

Solution