Percent to Decimal
Decimal to Percent
Real-World Percent Problems
Study Guide Questions
Proportion and Percent
100

Convert 25% to a decimal.

0.25

100

Convert 0.4 to a percent.

40%

100

Sarah deposits $500 in a savings account that earns 4% simple interest annually. How much interest will she earn in 1 year?

$20

100

On average, for every 100 seventh grade students at the school, 55 students play a sport. If the school has 80 seventh grade students, about how many of those students would you expect to play a sport.

A.25

B.35

C.44

D.75

C

100

What is 20% of 50?

10

200

Convert 7% to a decimal.

0.07

200

Convert 0.09 to a percent.

9%

200

A store buys a T-shirt for $10 and marks it up by 30%. What is the new price?

$13

200

The value of a car has decreased by 19% over the past year. Write and expression that uses a single term to represent the current value of the car. Explain what each part of your expression represents.

  • C: Represents the original value of the car before the decrease.
  • 0.19: Represents the 19% decrease, which is converted to a decimal.
  • 1−0.19=0.81: Represents the remaining value of the car as a percentage of its original value (after losing 19%, the car retains 81% of its value).
  • C×0.81: This final expression represents the current value of the car, which is 81% of its original value after the decrease.
200

15 is what percent of 60?

25%

300

Convert 125% to a decimal.

1.25

300

Convert 1.2 to a percent.

120%

300

A laptop costs $800 before tax. The sales tax rate is 6.5%. What is the total cost after tax?

$852

300

A store owner purchases orange juice for 3.45 per gallon. She marks up the price by 28%. What is the selling price per gallon of orange juice?

$4.42 per gallon

300

24 is 30% of what number?

80  

400

Convert 0.8% to a decimal.

0.008

400

Convert 0.025 to a percent.

2.5%

400

A jacket originally costs $120 but is on sale for 20% off. What is the sale price?

$96

400

Kabir and Nora each make a bridge out of toothpicks and glue. Kabir’s bridge can hold p pounds. Nora’s bridge can hold 12% more weight than Kabir’s bridge. Which expressions represent the weight Nora’s bridge can hold? Choose all that apply.

 A . 0.12p 

B . 1.12p 

C . p + 12 

D. p + 0.12p 

E . (p + 0.12)p 

F . (1 + 0.12)p 

G. 1 + (1 + 0.12)p

B,D,F

400

A student scored 85 out of 120 on a test. What percent did they score?

70.83%

500

A car’s value decreased by 3.75% last year. Express this percent as a decimal.

0.00375

500

A restaurant bill increased by 0.0625 due to tax. What percent increase is this?

6.25%

500

A restaurant bill is $45 before tax and tip. If tax is 8% and a tip is 15%, what is the total bill?

$55.35

500

 Dylan and Shawn each make a homemade soap solution. Dylan's solution is made of 1 tablespoon of coconut milk and 3 tablespoons of liquid soap. Shawn's solution is made of 1 cup of coconut milk and 5 cups of liquid soap. Which soap solution has a higher percent of coconut milk?

Dylan's soap solution has a higher percent of coconut milk because it is 25% coconut milk

500

A store is offering 25% off a shirt that costs $48. After the discount, a 7% sales tax is added. What is the final price?

$38.52

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