Back to Elementary Algebra 2e

3.2 Solve Percent Applications

Basic percent equations, percent increase and decrease, simple interest on a deposit, and discount or mark-up pricing.

Elementary Algebra 2e, 3.2 Solve Percent Applications

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84 exercises

3.2 Exercise 1

Before you get started, take this readiness quiz.

Convert 4.5% to a decimal.
If you missed this problem, review the reference.

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3.2 Exercise 2

Convert 0.6 to a percent.
If you missed this problem, review the reference.

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3.2 Exercise 3

Round 0.875 to the nearest hundredth.
If you missed this problem, review the reference.

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3.2 Exercise 4

Multiply (4.5)(2.38).
If you missed this problem, review the reference.

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3.2 Exercise 5

Solve 3.5=0.7n.3.5 = 0.7 n .
If you missed this problem, review the reference.

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3.2 Exercise 6

Subtract 50−37.45.50 - 37.45 .
If you missed this problem, review the reference.

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3.2 Exercise 8

Translate and solve:

What number is 45% of 80?

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3.2 Exercise 9

Translate and solve:

What number is 55% of 60?

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3.2 Exercise 11

Translate and solve:

7.5% of what number is $1.95?

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3.2 Exercise 12

Translate and solve:

8.5% of what number is $3.06?

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3.2 Exercise 14

Translate and solve:

110 is what percent of 88?

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3.2 Exercise 15

Translate and solve:

126 is what percent of 72?

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3.2 Exercise 17

Cierra and her sister enjoyed a dinner in a restaurant and the bill was $81.50. If she wants to leave 18% of the total bill as her tip, how much should she leave?

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3.2 Exercise 18

Kimngoc had lunch at her favorite restaurant. She wants to leave 15% of the total bill as her tip. If her bill was $14.40, how much will she leave for the tip?

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3.2 Exercise 20

One serving of wheat square cereal has seven grams of fiber, which is 28% of the recommended daily amount. What is the total recommended daily amount of fiber?

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3.2 Exercise 21

One serving of rice cereal has 190 mg of sodium, which is 8% of the recommended daily amount. What is the total recommended daily amount of sodium?

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3.2 Exercise 23

Solve. Round to the nearest whole percent.

Veronica is planning to make muffins from a mix. The package says each muffin will be 230 calories and 60 calories will be from fat. What percent of the total calories is from fat?

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3.2 Exercise 24

Solve. Round to the nearest whole percent.

The mix Ricardo plans to use to make brownies says that each brownie will be 190 calories, and 76 calories are from fat. What percent of the total calories are from fat?

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3.2 Exercise 26

Find the percent increase. (Round to the nearest tenth of a percent.)

In 2011, the IRS increased the deductible mileage cost to 55.5 cents from 51 cents.

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3.2 Exercise 27

Find the percent increase.

In 1995, the standard bus fare in Chicago was $1.50. In 2008, the standard bus fare was $2.25.

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3.2 Exercise 29

Find the percent decrease. (Round to the nearest tenth of a percent.)

The population of North Dakota was about 672,000 in 2010. The population is projected to be about 630,000 in 2020.

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3.2 Exercise 30

Find the percent decrease.

Last year, Sheila’s salary was $42,000. Because of furlough days, this year, her salary was $37,800.

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3.2 Exercise 31

Nathaly deposited $12,500 in her bank account where it will earn 4% interest. How much interest will Nathaly earn in 5 years?

I=?P=$12,500r=4%t=5years\begin{aligned}I & = & ? \\ P & = & $12,500 \\ r & = & 4 \% \\ t & = & 5 \text{years}\end{aligned}
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3.2 Exercise 32

Areli invested a principal of $950 in her bank account with interest rate 3%. How much interest did she earn in 5 years?

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3.2 Exercise 33

Susana invested a principal of $36,000 in her bank account with interest rate 6.5%. How much interest did she earn in 3 years?

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3.2 Exercise 34

Loren loaned his brother $3,000 to help him buy a car. In 4 years his brother paid him back the $3,000 plus $660 in interest. What was the rate of interest?

I=$660P=$3,000r=?t=4years\begin{aligned}I & = & $660 \\ P & = & $3,000 \\ r & = & ? \\ t & = & 4 \text{years}\end{aligned}
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3.2 Exercise 35

Jim loaned his sister $5,000 to help her buy a house. In 3 years, she paid him the $5,000, plus $900 interest. What was the rate of interest?

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3.2 Exercise 36

Hang borrowed $7,500 from her parents to pay her tuition. In 5 years, she paid them $1,500 interest in addition to the $7,500 she borrowed. What was the rate of interest?

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3.2 Exercise 37

Eduardo noticed that his new car loan papers stated that with a 7.5% interest rate, he would pay $6,596.25 in interest over 5 years. How much did he borrow to pay for his car?

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3.2 Exercise 38

Sean’s new car loan statement said he would pay $4,866.25 in interest from an interest rate of 8.5% over 5 years. How much did he borrow to buy his new car?

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3.2 Exercise 39

In 5 years, Gloria’s bank account earned $2,400 interest at 5%. How much had she deposited in the account?

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3.2 Exercise 41

Find ⓐ the amount of discount and ⓑ the sale price:

Sergio bought a belt that was discounted 40% from an original price of $29.

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3.2 Exercise 42

Find ⓐ the amount of discount and ⓑ the sale price:

Oscar bought a barbecue that was discounted 65% from an original price of $395.

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3.2 Exercise 44

Find ⓐ the amount of discount and ⓑ the discount rate.

Lena bought a kitchen table at the sale price of $375.20. The original price of the table was $560.

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3.2 Exercise 45

Find ⓐ the amount of discount and ⓑ the discount rate.

Nick bought a multi-room air conditioner at a sale price of $340. The original price of the air conditioner was $400.

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3.2 Exercise 47

Find ⓐ the amount of mark-up and ⓑ the list price.

Jim’s music store bought a guitar at original cost $1,200. Jim marked the price up 50%.

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3.2 Exercise 48

Find ⓐ the amount of mark-up and ⓑ the list price.

The Auto Resale Store bought Pablo’s Toyota for $8,500. They marked the price up 35%.

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3.2 Exercise 49

Translate and solve.

What number is 45% of 120?

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3.2 Exercise 51

Translate and solve.

What number is 24% of 112?

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3.2 Exercise 53

Translate and solve.

250% of 65 is what number?

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3.2 Exercise 55

Translate and solve.

800% of 2250 is what number?

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3.2 Exercise 57

Translate and solve.

28 is 25% of what number?

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3.2 Exercise 59

Translate and solve.

81 is 75% of what number?

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3.2 Exercise 61

Translate and solve.

8.2% of what number is $2.87?

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3.2 Exercise 63

Translate and solve.

11.5% of what number is $108.10?

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3.2 Exercise 65

Translate and solve.

What percent of 260 is 78?

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3.2 Exercise 67

Translate and solve.

What percent of 1500 is 540?

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3.2 Exercise 69

Translate and solve.

30 is what percent of 20?

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3.2 Exercise 71

Translate and solve.

840 is what percent of 480?

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3.2 Exercise 73

Solve.

Geneva treated her parents to dinner at their favorite restaurant. The bill was $74.25. Geneva wants to leave 16% of the total bill as a tip. How much should the tip be?

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3.2 Exercise 75

Solve.

Trong has 12% of each paycheck automatically deposited to his savings account. His last paycheck was $2165. How much money was deposited to Trong’s savings account?

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3.2 Exercise 77

Solve.

One serving of oatmeal has eight grams of fiber, which is 33% of the recommended daily amount. What is the total recommended daily amount of fiber?

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3.2 Exercise 79

Solve.

A bacon cheeseburger at a popular fast food restaurant contains 2070 milligrams (mg) of sodium, which is 86% of the recommended daily amount. What is the total recommended daily amount of sodium?

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3.2 Exercise 81

Solve.

After 3 months on a diet, Lisa had lost 12% of her original weight. She lost 21 pounds. What was Lisa’s original weight?

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3.2 Exercise 83

Solve.

Yuki bought a dress on sale for $72. The sale price was 60% of the original price. What was the original price of the dress?

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3.2 Exercise 85

Solve.

Tim left a $9 tip for a $50 restaurant bill. What percent tip did he leave?

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3.2 Exercise 87

Solve.

The nutrition fact sheet at a fast food restaurant says the fish sandwich has 380 calories, and 171 calories are from fat. What percent of the total calories is from fat?

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3.2 Exercise 89

Solve.

Emma gets paid $3,000 per month. She pays $750 a month for rent. What percent of her monthly pay goes to rent?

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3.2 Exercise 91

Solve.

Tamanika got a raise in her hourly pay, from $15.50 to $17.36. Find the percent increase.

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3.2 Exercise 93

Solve.

Annual student fees at the University of California rose from about $4,000 in 2000 to about $12,000 in 2010. Find the percent increase.

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3.2 Exercise 95

Solve.

According to Time magazine annual global seafood consumption rose from 22 pounds per person in the 1960s to 38 pounds per person in 2011. Find the percent increase. (Round to the nearest tenth of a percent.)

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3.2 Exercise 97

Solve.

A grocery store reduced the price of a loaf of bread from $2.80 to $2.73. Find the percent decrease.

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3.2 Exercise 99

Solve.

Hernando’s salary was $49,500 last year. This year his salary was cut to $44,055. Find the percent decrease.

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3.2 Exercise 101

Solve.

In 1 month, the median home price in the West fell from $203,400 to $192,300. Find the percent decrease. (Round to the nearest tenth of a percent.)

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3.2 Exercise 103

Solve.

Casey deposited $1,450 in a bank account with interest rate 4%. How much interest was earned in two years?

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3.2 Exercise 105

Solve.

Robin deposited $31,000 in a bank account with interest rate 5.2%. How much interest was earned in 3 years?

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3.2 Exercise 107

Solve.

Hilaria borrowed $8,000 from her grandfather to pay for college. Five years later, she paid him back the $8,000, plus $1,200 interest. What was the rate of interest?

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3.2 Exercise 109

Solve.

Lebron loaned his daughter $20,000 to help her buy a condominium. When she sold the condominium four years later, she paid him the $20,000, plus $3,000 interest. What was the rate of interest?

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3.2 Exercise 111

Solve.

In 10 years, a bank account that paid 5.25% earned $18,375 interest. What was the principal of the account?

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3.2 Exercise 113

Solve.

Joshua’s computer loan statement said he would pay $1,244.34 in interest for a 3-year loan at 12.4%. How much did Joshua borrow to buy the computer?

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3.2 Exercise 115

Find the sale price.

Perla bought a cell phone that was on sale for $50 off. The original price of the cell phone was $189.

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3.2 Exercise 117

Find the sale price.

Rick wants to buy a tool set with original price $165. Next week the tool set will be on sale for $40 off.

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3.2 Exercise 119

Find ⓐ the amount of discount and ⓑ the sale price.

Janelle bought a beach chair on sale at 60% off. The original price was $44.95.

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3.2 Exercise 121

Find ⓐ the amount of discount and ⓑ the sale price.

Kathy wants to buy a camera that lists for $389. The camera is on sale with a 33% discount.

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3.2 Exercise 123

Find ⓐ the amount of discount and ⓑ the sale price.

Erys bought a treadmill on sale at 35% off. The original price was $949.95 (round to the nearest cent.)

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3.2 Exercise 125

Find ⓐ the amount of discount and ⓑ the discount rate. (Round to the nearest tenth of a percent if needed.)

Larry and Donna bought a sofa at the sale price of $1,344. The original price of the sofa was $1,920.

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3.2 Exercise 127

Find ⓐ the amount of discount and ⓑ the discount rate. (Round to the nearest tenth of a percent if needed.)

Patty bought a baby stroller on sale for $301.75. The original price of the stroller was $355.

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3.2 Exercise 129

Find ⓐ the amount of discount and ⓑ the discount rate. (Round to the nearest tenth of a percent if needed.)

Nikki bought a patio set on sale for $480. The original price was $850. To the nearest tenth of a percent, what was the rate of discount?

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3.2 Exercise 131

Find ⓐ the amount of the mark-up and ⓑ the list price.

Daria bought a bracelet at original cost $16 to sell in her handicraft store. She marked the price up 45%.

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3.2 Exercise 133

Find ⓐ the amount of the mark-up and ⓑ the list price.

Tom paid $0.60 a pound for tomatoes to sell at his produce store. He added a 33% mark-up.

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3.2 Exercise 135

Find ⓐ the amount of the mark-up and ⓑ the list price.

Alan bought a used bicycle for $115. After re-conditioning it, he added 225% mark-up and then advertised it for sale.

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3.2 Exercise 137

Leaving a Tip At the campus coffee cart, a medium coffee costs $1.65. MaryAnne brings $2.00 with her when she buys a cup of coffee and leaves the change as a tip. What percent tip does she leave?

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3.2 Exercise 139

Without solving the problem “44 is 80% of what number” think about what the solution might be. Should it be a number that is greater than 44 or less than 44? Explain your reasoning.

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3.2 Exercise 141

After returning from vacation, Alex said he should have packed 50% fewer shorts and 200% more shirts. Explain what Alex meant.

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Adapted from Elementary Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Elementary Algebra 2e. Imported at revision 77a933c.