# Percent of Change Worksheet

Percent of Change Worksheet
• Page 1
1.
Find the percent of increase from 80 to 90.
 a. 15% b. 8% c. 18% d. 13%

#### Solution:

= 90 - 80 = 10
Change in amount = increased amount - original amount
[Subtract.]

Percent of change = change in amountoriginal amount

= 1080 = 0.13
[Substitute the values and divide.]

0.13 = 13%
[Change decimal to percent by shifting the decimal point two places to the right.]

The percent of increase is 13%.

2.
The table details the number of farms and the net farm income in different years. Find the percent of increase in the number of farms from 1990 to 2000.

 a. 1.4% b. 1.5% c. 1.3% d. 2.2%

#### Solution:

Change in number of farms = number of farms in 2000 - number of farms in 1990

= 2172 - 2142 = 30
[Substitute the values and subtract.]

Percent of change = Change in number of farmsOriginal number of farms

= 302142 = 0.014
[Substitute the values and divide.]

0.014 = 1.4%
[Change decimal to percent by shifting the decimal point two places to the right.]

The percent of increase is 1.4%.

3.
The table gives the price of sugar in two different years. Find the percentage of increase in the price of the sugar.
 Year 1990 1999 Cost of sugar (in $per lb) 6 9  a. 55% b. 50% c. 50.5% d. 58% #### Solution: Change in price = 9 - 6 = 3 [Substitute the values and subtract.] Let n be the percent of increase in the price of sugar. 36 = n100 [Use Change in priceOriginal price to write the proportion.] 6 × n = 3 × 100 [Write cross products.] 6 × n6 = 3 × 1006 [Divide both sides by 6.] n = 50 The percentage of increase in the price of the sugar is 50. Correct answer : (2) 4. The number of educational institutions in a city, in 1985, was 279 and in 1997, it became 371. Find the percent of increase in the number of educational institutions.  a. 42.97% b. 37.97% c. 330% d. 32.97% #### Solution: = 371 - 279 = 92 Change in number = number of institutions in 1997 - number of institutions in 1985 [Subtract.] Percent of change = change in numberoriginal number = 92279 = 0.3297 [Substitute the values and simplify.] = 32.97% [Change decimal to percent by shifting the decimal point two places to the right.] The percent of increase in the number of educational institutions is 32.97%. Correct answer : (4) 5. Andrew buys a computer for$4,100 and sells it for $4,600. Find the percent of the profit he made.  a. 14.2% b. 22.2% c. 12.2% d. 13.2% #### Solution: Profit = selling price - cost price [Formula.] =$4600 - $4100 =$500
[Substitute values and subtract.]

Profit percent = total profitcost price × 100

= 5004100 × 100
[Substitute the values.]

= 0.122 × 100
[Simplify.]

= 12.2
[Shift the decimal point two places to the right to multiply by 100.]

The profit percentage is 12.2%.

6.
Find the increased percentage of the Cellular phone subscribers from the year 1995 to 1999.
 Year 1995 1999 Cellular phone subscribers (in millions) 20 39 Daily newspaper circulation (in millions) 26 29
 a. 95% b. 94% c. 96% d. 98%

#### Solution:

Change in number of cellular phones = 39 - 20 = 19.
[Subtract.]

Let n be the percent of increase in the number of cellular phone subscribers.

1920 = n100
[Use Change in numberOriginal number to write a proportion.]

20 × n = 19 × 100
[Write cross products.]

20 × n20 = 19 × 10020
[Divide both sides by 20.]

n = 95
[Simplify the expression.]

The percent of increase in the Cellular phone subscribers in 1999 was 95%.

7.
Find the percent increase in the general expenditure of a state government from the year 1999 to 2000.
 Year 1999 2000 General Revenue (in billions) 888 963 General Expenditures (in billions) 882 947

 a. 10.37% b. 7.37% c. 6.37% d. 8.37%

#### Solution:

Change in general expenditure = 947 - 882 = 65
[Subtract.]

Let n be the percent of increase in the general expenditure of the state government.

65882 = n100
[Use Amount of changeOriginal amount to write a proportion.]

882 × n = 65 × 100
[Write cross product.]

882 × n882 = 65 × 100882
[Divide both sides by 882.]

n = 7.37
[Simplify.]

So, the percent of increase in the general expenditure of the state government from the year 1999 to 2000 was 7.37%.

8.
Find the percent of decrease from 116 to 29.
 a. 75% b. 80% c. 90% d. 85%

#### Solution:

Amount of change = original amount - decreased amount

= 116 - 29 = 87
[Substitute the values and subtract.]

Percent of change = amount of changeoriginal amount

= 87116 = 0.75
[Substitute the values and divide.]

0.75 = 75%
[Move the decimal point two places to the right to change the decimal to a percent.]

The percent of decrease is 75%.

9.
A fruit seller raises the cost of his fruits from $6 to$7. Find the percent of increase.
 a. 31% b. 16% c. 21% d. 26%

#### Solution:

Change in amount = final amount Ã¢â‚¬â€œ original amount = 7 - 6 = 1
[Subtract.]

The percent of change = change in amountoriginal amount = 1 / 6 = 0.16
[Divide.]

= 0.16 = 16%
[Move the decimal point two places to the right to change the decimal to a percent.]

The percent of increase in cost is 16%.

10.
The population of a county in 1996 was 260 million and the population in 1998 was 280 million. Find the percent of increase in the population.
 a. 12.7% b. 7.7% c. 17.7% d. 19.7%

#### Solution:

= 280 - 260 = 20
Change in number = population in 1998 - population in 1996
[Substitute the values and subtract.]

Percent of change = change in numberoriginal number

= 20260
[Substitute the values.]

= 226
[Simplify by dividing numerator and denominator by 10.]

= 0.077
[Divide.]

0.077 = 7.7%
[Move the decimal point two places to the right to change the decimal to a percent.]

The percent of increase in the population is 7.7%.