Percent of Change Worksheet

**Page 1**

1.

Find the percent of increase from 80 to 90.

a. | 15% | ||

b. | 8% | ||

c. | 18% | ||

d. | 13% |

Change in amount = increased amount - original amount

[Subtract.]

Percent of change =

=

[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%.

Correct answer : (4)

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% |

= 2172 - 2142 = 30

[Substitute the values and subtract.]

Percent of change =

=

[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%.

Correct answer : (1)

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% |

[Substitute the values and subtract.]

Let

[Use

6 ×

[Write cross products.]

[Divide both sides by 6.]

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% |

Change in number = number of institutions in 1997 - number of institutions in 1985

[Subtract.]

Percent of change =

=

[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% |

[Formula.]

= $4600 - $4100 = $500

[Substitute values and subtract.]

Profit percent =

=

[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%.

Correct answer : (3)

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% |

[Subtract.]

Let

[Use

20 ×

[Write cross products.]

[Divide both sides by 20.]

[Simplify the expression.]

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

Correct answer : (1)

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% |

[Subtract.]

Let

[Use

882 ×

[Write cross product.]

[Divide both sides by 882.]

[Simplify.]

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

Correct answer : (2)

8.

Find the percent of decrease from 116 to 29.

a. | 75% | ||

b. | 80% | ||

c. | 90% | ||

d. | 85% |

= 116 - 29 = 87

[Substitute the values and subtract.]

Percent of change =

=

[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%.

Correct answer : (1)

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% |

[Subtract.]

The percent of change =

[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%.

Correct answer : (2)

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% |

Change in number = population in 1998 - population in 1996

[Substitute the values and subtract.]

Percent of change =

=

[Substitute the values.]

=

[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%.

Correct answer : (2)