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# Percent Word Problems Practice Problems

based on 6 ratings
By — McGraw-Hill Professional
Updated on Sep 27, 2011

## Percent Word Problems Practice Problems

### Set 1: Introduction to Percent Word Problems

To review the percent word problems, go to Percent Word Problems Help

#### Practice

1. 64% of 50 is _________
2. 126% of 38 is _________
3. 0.42% of 16 is _________
4. 18.5% of 48 is _________
5. 213.6% of 90 is _________

#### Solutions

1. 64% of 50 is (0.64)(50) = 32
2. 126% of 38 is (1.26)(38) = 47.88
3. 0.42% of 16 is (0.0042)(16) = 0.0672
4. 18.5% of 48 is (0.185)(48) = 8.88
5. 213.6% of 90 is (2.136)(90) = 192.24

### Set 2: Increasing/Decreasing by a Percent Word Problems

To review the use of percent increases or decreases in word problems, go to Percent Word Problems Help

#### Practice

1. 46 increased by 60% is _________
2. 78 increased by 125% is _________
3. 16 decreased by 30% is _________
4. 54 increased by 21.3% is _________
5. 128 decreased by 8.16% is _________
6. 15 increased by 0.03% is _________
7. 24 decreased by 108.4% is _________

#### Solutions

1. 46 increased by 60% is 46 + (0.60)(46) = 46 + 27.6 = 73.6
2. 78 increased by 125% is 78 + (1.25)(78) = 78 + 97.5 = 175.5
3. 16 decreased by 30% is 16 – (0.30)(16) = 16 – 4.8 = 11.2
4. 54 increased by 21.3% is 54 + (0.213)(54) = 54 + 11.502 = 65.502
5. 128 decreased by 8.16% is 128 – (0.0816)(128) = 128 – 10.4448 = 117.5552
6. 15 increased by 0.03% is 15 + (0.0003)(15) = 15 + 0.0045 = 15.0045
7. 24 decreased by 108.4% is 24 – (1.084)(24) = 24 – 26.016 = – 2.016

### Set 3: Solving for an Unknown Variable in Percent Word Problems

To review word problems where a quantity is being increased or decreased by a percent, go to Percent Word Problems Help

#### Practice

1. A local cable television company currently charges \$36 per month. It plans an increase in its monthly charge by 15%. What will the new rate be?
2. In 1980, the median age of U.S. residents was 30 years. By 1996, the median age had increased by about 15.3%. What was the median age in 1996?
3. In 1995, the death rate per 100,000 U.S. residents from major cardiovascular disease was 174.4, which is about a decrease from 1980. What was the 1980 death rate per 100,000 from major cardiovascular disease?
4. A worker’s take-home pay was \$480 after deductions totaling 40%. What is the worker’s gross pay?
5. A cereal company advertises that its 16-ounce cereal represents 25% more than before. What was the original amount?
6. A couple does not wish to spend more than \$45 for dinner at their favorite restaurant. If a sales tax of is added to the bill and they plan to tip 15% after the tax is added, what is the most they can spend for the meal?
7. A discount store prices its blank videotapes by raising the wholesale price by 40% and adding \$0.20. What must the tape’s wholesale price be if the tape sells for \$3.00?

#### Solutions

1. \$36 will be increased by 15%:
2. 36 + (0.15)(36) = 36 + 5.4 = 41.4

The new rate will be \$41.40.

3. 30 is increased by 15.3%:
4. 30 + (0.153)(30) = 30 + 4.59 = 34.59

The median age of U.S. residents in 1996 was about 34.6 years.

5. The 1980 rate is decreased by . Let x = 1980 rate.

The 1980 death rate per 100,000 from major cardiovascular disease was about 255.5.

6. The gross pay is reduced by 40%. Let x = gross pay.

The worker’s gross pay is \$800.

7. The original amount is increased by 25%. Let x = original amount.

The original box of cereal contained 12.8 ounces.

8. The total bill is the cost of the meal plus the tax on the meal plus the tip.

Let x = cost of the meal. The tax, then, is 0.075 x .

The tip is 15% of the meal plus tax: ( x + 0.075 x = 1.075 x is the price of the meal), so the tip is 0.15(1.075 x ) = 0.16125 x .

The total bill is x + 0.075 x + 0.16125 x . We want this to equal 45:

The couple can spend \$36.40 on their meal.

9. Let x = wholesale price. 40% of the wholesale price is 0.40 x . The retail price is the wholesale price plus 40% of the wholesale price plus \$0.20:

The wholesale price is \$2.

### Set 4: Solving for an Unknown Percent in Percent Word Problems

To review word problems where the percent is the unknown, go to Percent Word Problems Help

#### Practice

1. 2 is what percent of 5?
2. 5 is what percent of 2?
3. 3 is what percent of 15?
4. 15 is what percent of 3?
5. 1.8 is what percent of 18?
6. 18 is what percent of 1.8?
7. is what percent of 2?
8. 2 is what percent of ?

#### Solutions

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