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
 64% of 50 is _________
 126% of 38 is _________
 0.42% of 16 is _________
 18.5% of 48 is _________
 213.6% of 90 is _________
Solutions
 64% of 50 is (0.64)(50) = 32
 126% of 38 is (1.26)(38) = 47.88
 0.42% of 16 is (0.0042)(16) = 0.0672
 18.5% of 48 is (0.185)(48) = 8.88
 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
 46 increased by 60% is _________
 78 increased by 125% is _________
 16 decreased by 30% is _________
 54 increased by 21.3% is _________
 128 decreased by 8.16% is _________
 15 increased by 0.03% is _________
 24 decreased by 108.4% is _________
Solutions
 46 increased by 60% is 46 + (0.60)(46) = 46 + 27.6 = 73.6
 78 increased by 125% is 78 + (1.25)(78) = 78 + 97.5 = 175.5
 16 decreased by 30% is 16 – (0.30)(16) = 16 – 4.8 = 11.2
 54 increased by 21.3% is 54 + (0.213)(54) = 54 + 11.502 = 65.502
 128 decreased by 8.16% is 128 – (0.0816)(128) = 128 – 10.4448 = 117.5552
 15 increased by 0.03% is 15 + (0.0003)(15) = 15 + 0.0045 = 15.0045
 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
 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?
 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?
 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?
 A worker’s takehome pay was $480 after deductions totaling 40%. What is the worker’s gross pay?
 A cereal company advertises that its 16ounce cereal represents 25% more than before. What was the original amount?
 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?
 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
 $36 will be increased by 15%:
 30 is increased by 15.3%:
 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.

The gross pay is reduced by 40%. Let x = gross pay.
The worker’s gross pay is $800.

The original amount is increased by 25%. Let x = original amount.
The original box of cereal contained 12.8 ounces.

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.

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.
36 + (0.15)(36) = 36 + 5.4 = 41.4
The new rate will be $41.40.
30 + (0.153)(30) = 30 + 4.59 = 34.59
The median age of U.S. residents in 1996 was about 34.6 years.
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
 2 is what percent of 5?
 5 is what percent of 2?
 3 is what percent of 15?
 15 is what percent of 3?
 1.8 is what percent of 18?
 18 is what percent of 1.8?
 is what percent of 2?
 2 is what percent of ?
Solutions
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