Percent Proportions
Proportional vs Nonproportional
Solving Proportions
Discount, Markup, Tax and Tip
Percent of Change
100

Use the percent proportion to solve each problem.

18 is what percent of 40?

45%

100

Determine whether the quantities in each table represent a proportional relationship. If yes, give the constant rate.

Yes, $9/hour

100

Determine whether the pair of ratios forms a proportion.

5/6 , 20/24

yes, proportional

100

Find the discount and markup for each, then find the final selling price. Round to the nearest cent when necessary.


Tablet: $492, 20% off

$393.60

100

Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent when necessary.


The Smith’s home was worth $402,500 in 2023

and $511,000 in 2026.

26.9% Increase

200

Use the percent proportion to solve each problem.


Find 8.5% of 160

13.6

200

Determine whether the quantities in each table represent a proportional relationship. If yes, give the constant rate.

Yes, 21 Miles Per Gallon

200

Determine whether the pair of ratios forms a proportion.

0.5/18 , 1.5/40

Nonproportional

200

Find the discount and markup for each, then find the final selling price. Round to the nearest cent when necessary.


cell phone: $995.79, 25% markup

$1244.74

200

Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent when necessary.


Brandon bought a pair of sneakers for $55 that had a regular price of $90.

38.8% decrease

300

28 is 4% of what number?

700

300

Determine whether the quantities in each table represent a proportional relationship. If yes, give the constant rate.

Nonproportional

300

Solve each proportion.

16/12=x/3

x=4

300

Find the final price of a $849.99 laptop with 6% sales tax.

$900.99

300

Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent when necessary.


The average high temperature was 86° in August then 74° in September.


14% Decrease

400

A book collector has 425 books, 56% of which were published proior to 1900. How many books were published prior to 1900?

238 Books

400

Ben earns $8.50 per hour bagging groceries at the grocery story.

400

Solve each proportion.

(4x)/5=84/15

x=7

400

A $405 watch is selling for 30% off. Find the final price of the watch if the

sales tax is 8%.

$306.18

400

Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent when necessary.


This year’s school enrollment at Brookhaven Middle School is 1,524 students. Last year, the enrollment was 1,398 students.

9% Increase

500

On the high school football team, 62.5% of the players are juniors and seniors. If there are 11 juniors and 19 seniors, find the total number of players. 

48 Players

500

Mitch pays $0.30 per minute on a long distance phone call.

500

Solve each proportion.

2/3=(x-2)/12

x=10

500

Greg and Chandra went out to dinner. Their dinner bill came to $264.56. If they had a $50 coupon and left a 20% tip, how much did they pay in total?

$257.47

500

Find the percent of change and classify as a percent increase or decrease. Round to the nearest tenth of a percent when necessary.


Marshall’s dog weighs 82 pounds. The vet said 75 pounds would be more ideal for his size. What percent of his weight does he need to lose?

8.5 Decrease

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