Resources

Resources

Percent of change: word problems

Marques has a loyalty card good for a discount at his local pharmacy. The item he wants to buy is priced at

\$ 7

, before discount and tax. After the discount, and before tax, the price is

\$ 6.58

. Find the percent discount.

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\%

One year, the population of a city was

156

000

. Several years later it was

177

840

. Find the percent increase.

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\%

One year, the population of a city was

391

000

. Several years later it was

355

810

. Find the percent decrease.

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\%

To find the population of a city next year, we multiply its current population by

1

026

. By what percent does the population increase per year?

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\%

Amira invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by

1

015

. What percent simple interest does the account earn per year?

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\%

Carter invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, he multiplies his current balance by

1

014

. What percent simple interest does the account earn per year?

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\%

To find the population of a city next year, we multiply its current population by

0

981

. By what percent does the population decrease per year?

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\%

To find the population of a city next year, we multiply its current population by

1

024

. By what percent does the population increase per year?

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\%

The population of a city decreases by

2 \%

per year. If this year's population is

p

, which expression represents next year's population?

\newline

0.02 p

\newline

0.98 p

\newline

0.998 p

\newline

2 p

The population of a city decreases by

4.1 \%

per year. If this year's population is

p

, which expression represents next year's population?

\newline

0

959

\newline

4.1 p

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1 p-0.041 p

\newline

0.041 p

The population of a city decreases by

3.9 \%

per year. If this year's population is

p

, which expression represents next year's population?

\newline

0.9961 p

\newline

1-0.039 p

\newline

3.9 p

\newline

0.961 p

The population of a city increases by

2.2 \%

per year. If this year's population is

p

, which expression does NOT represent next year's population?

\newline

p+0.022 p

\newline

1+0.022 p

\newline

1 p+0.022 p

\newline

(1+0.022) p

At the beginning of the week, Josh had

133\%

computer games, as many computer games as Peter had. By the end of the week, Josh gave

25\%

of his computer games to Peter. How many computer games did Josh and Peter each have by the end of the week?

During one time period, the price of rhodium increased at a rate that was proportional to the price of rhodium at that time. The price for an ounce of rhodium was

475

initially, and it quadrupled every

25

months. What was the price for an ounce of rhodium after

18

During last year's basketball season, Jackson attempted

150

free throws of which he made

120

. far this season, he's attempted

24

16

. A player's free-throw percentage is defined to be the percent of free-throws made out of the number of free-throws attempted. Assuming calculations began with the start of last year's season, which of the following best approximates Jackson's overall free-throw percentage to date?

A high school's graduation rate is defined to be the percentage of the senior class that graduates. Last year

406

of Sagamore High School's

452

seniors graduated. This year the school expects the previous year's graduation rate to increase by approximately

2

percentage points. If there are

436

students in this year's senior class, which of the following best approximates the number of seniors that Sagamore High School expects to graduate this year?

20\,\text{cm}

tall last month. This month, it grew by

25\%

. What is its height this month?

20\,\text{cm}

tall last month. This month, it grew by

25\%

. What is its height this month?

150

pounds at the beginning of the year. She decided to lose weight and succeeded in losing

10\%

of her body weight. What is her current weight?

Finley's pumpkin had a mass of

6

5

(\mathrm{kg})

before he carved it. After it was carved, the pumpkin had a mass of

3.9 \mathrm{~kg}

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What was the percent decrease in the mass of the pumpkin?

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Aubrey's dinner cost

\$ 85

. She tips the waitstaff

30 \%

for excellent service.

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How much does Aubrey tip the waitstaff?

The population of Springville is on the rise. Each year, on January

1

, the town holds its own census and the population is recorded. In

2010

, the town recorded a population of

12,000

2011

census reported a

5\%

increase from the

2010

population, and the

2012

census reported a

7\%

increase from the

2011

population. By how many people did the population of Springville increase over the

2

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1

\newline

240

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882

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1440

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1482

An author published a book which was being sold online. The first month the author sold

22100

books, but the sales were declining steadily at

10 \%

each month. If this trend continues, how many total books would the author have sold over the first

22

months, to the nearest whole number?

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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth

\$ 5660

and his stock in Company B was worth

\$ 750

. The stock in Company A has increased

5 \%

since last year and the stock in Company B has increased

22 \%

. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth

\$ 5740

and his stock in Company B was worth

\$ 3250

. The stock in Company A has increased

25\%

since last year and the stock in Company B has increased

24 \%

. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth

\$ 4480

and his stock in Company B was worth

\$ 4600

. The stock in Company A has increased

10\%

since last year and the stock in Company B has increased

8 \%

. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

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Last year at a certain high school, there were

120

ninth graders on the honor roll and

105

tenth graders on the honor roll. This year, the number of ninth graders on the honor roll decreased by

25 \%

and the number of tenth graders on the honor roll decreased by

20 \%

. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).

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Last year at a certain high school, there were

65

ninth graders on the honor roll and

132

tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by

20 \%

and the number of tenth graders on the honor roll increased by

25 \%

. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth

\$ 7000

and his stock in Company B was worth

\$ 3750

. The stock in Company A has increased

2 \%

since last year and the stock in Company B has increased

4 \%

. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth

\$ 1300

and her stock in Company B was worth

\$ 6220

. The stock in Company A has decreased

17 \%

since last year and the stock in Company B has decreased

25 \%

. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

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Last year at a certain high school, there were

70

ninth graders on the honor roll and

125

tenth graders on the honor roll. This year, the number of ninth graders on the honor roll decreased by

10 \%

and the number of tenth graders on the honor roll decreased by

8 \%

. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).

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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth

\$ 4220

and her stock in Company B was worth

\$ 1500

. The stock in Company A has increased

5\%

since last year and the stock in Company B has increased

8 \%

. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth

\$ 2230

and her stock in Company B was worth

\$ 600

. The stock in Company A has increased

20\%

since last year and the stock in Company B has increased

8 \%

. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

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Last year at a certain high school, there were

50

ninth graders on the honor roll and

50

tenth graders on the honor roll. This year, the number of ninth graders on the honor roll decreased by

10 \%

and the number of tenth graders on the honor roll decreased by

12 \%

. By what percentage did the total number of students on the honor roll decrease? Round your answer to the nearest tenth (if necessary).

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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth

\$ 6880

and his stock in Company B was worth

\$ 6600

. The stock in Company A has decreased

10\%

since last year and the stock in Company B has decreased

1 \%

. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

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An investor has an account with stock from two different companies. Last year, his stock in Company A was worth

\$ 2640

and his stock in Company B was worth

\$ 3300

. The stock in Company A has decreased

20\%

since last year and the stock in Company B has decreased

21 \%

. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

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An investor has an account with stock from two different companies. Last year, her stock in Company A was worth

\$ 7440

and her stock in Company B was worth

\$ 4110

. The stock in Company A has decreased

10\%

since last year and the stock in Company B has decreased

20 \%

. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

\newline

Last year at a certain high school, there were

100

ninth graders on the honor roll and

150

tenth graders on the honor roll. This year, the number of ninth graders on the honor roll increased by

17 \%

and the number of tenth graders on the honor roll increased by

24 \%

. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).

\newline

An investor has an account with stock from two different companies. Last year, his stock in Company A was worth

\$ 1600

and his stock in Company B was worth

\$ 1750

. The stock in Company A has decreased

22\%

since last year and the stock in Company B has decreased

14 \%

. What was the total percentage decrease in the investor's stock account? Round your answer to the nearest tenth (if necessary).

\newline

An investor has an account with stock from two different companies. Last year, her stock in Company A was worth

\$ 3180

and her stock in Company B was worth

\$ 940

. The stock in Company A has increased

20\%

since last year and the stock in Company

B

15 \%

. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary).

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In a certain town there were

213

robberies last year. This year the number of robberies has gone down

19 \%

. How many robberies were there this year, to the nearest whole number?

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In a certain town there were

374

robberies last year. This year the number of robberies has gone down

26 \%

. How many robberies were there this year, to the nearest whole number?

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In a newspaper, it was reported that the number of yearly robberies in Springfield in

2012

100

, and then went up by

50 \%

2013

. How many robberies were there in Springfield in

2013

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In a newspaper, it was reported that the number of yearly robberies in Springfield in

2010

150

, and then went up by

6 \%

2011

. How many robberies were there in Springfield in

2011

\newline

In a newspaper, it was reported that the number of yearly robberies in Springfield in

2013

250

, and then went up by

38 \%

2014

. How many robberies were there in Springfield in

2014

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The stock of Company A lost

3.25 \%

\$ 34.83

. What was the opening price of the stock in the beginning of the day?

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In a newspaper, it was reported that the number of yearly robberies in Springfield in

2012

76

, and then went up by

50 \%

2013

. How many robberies were there in Springfield in

2013

\newline

In a newspaper, it was reported that the number of yearly robberies in Springfield in

2012

200

, and then went down by

8 \%

2013

. How many robberies were there in Springfield in

2013

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In a newspaper, it was reported that the number of yearly robberies in Springfield in

2012

60

, and then went down by

25 \%

2013

. How many robberies were there in Springfield in

2013

\newline

In a newspaper, it was reported that the number of yearly robberies in Springfield in

2012

98

, and then went down by

50 \%

2013

. How many robberies were there in Springfield in

2013

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