# FINDING PERCENT DECREASE WORKSHEET

## About "Finding percent decrease worksheet"

Finding percent decrease worksheet :

Percents can be used to describe how an amount changes. The formula given below can be used to find how an amount changes in terms of percentage.

The change may be an increase or a decrease. Percent decrease describes how much a quantity decreases in comparison to the original amount.

## Finding percent decrease worksheet - Problems

1. What is the percent decrease from \$80 to \$64 ?

2. David moved from a house that is 89 miles away from his workplace to a house that is 51 miles away from his workplace. What is the percent decrease in the distance from his home to his workplace ?

3. The number of students in a chess club decreased from 18 to 12. Whatis the percent decrease ? Round to the nearest percent.

4. Officer Brimberry wrote 16 tickets for traffic violations last week, but only 10 tickets this week. What is the percent decrease ?

5.  Over the summer, Jackie played video games 3 hours per day. When school began in the fall, she was only allowed to play video games for half an hour per day. What is the percent decrease? Round to the nearest percent.

## Finding percent decrease worksheet - Solution

Problem 1 :

What is the percent decrease from \$80 to \$64 ?

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

=  80 - 64

=  16

Step 2 :

Percentage change is

=  (Amount of change / Original amount) x 100 %

=  (16 / 80) x 100%

=  0.2 x 100 %

=  20 %

Hence, the percent decrease from \$80 to \$64 is 20%.

Problem 2 :

David moved from a house that is 89 miles away from his workplace to a house that is 51 miles away from his workplace. What is the percent decrease in the distance from his home to his workplace ?

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

=  89 - 51

=  38

Step 2 :

Find the percent decrease. Round to the nearest percent.

Percentage change is

=  (Amount of change / Original amount) x 100 %

=  (38 / 89) x 100%

=  0.427 x 100 %

=  42.7 %

≃  43 %

Hence, the percent decrease in the distance from his home to his workplace is 43%.

Problem 3 :

The number of students in a chess club decreased from 18 to 12. Whatis the percent decrease ? Round to the nearest percent.

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

=  18 - 12

=  6

Step 2 :

Find the percent decrease. Round to the nearest percent.

Percentage change is

=  (Amount of change / Original amount) x 100 %

=  (6 / 18) x 100%

=  0.3333 x 100 %

=  33.33%

≃  33 %

Hence, the strength is decreased by 33%.

Problem 4 :

Officer Brimberry wrote 16 tickets for traffic violations last week, but only 10 tickets this week. What is the percent decrease ?

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

=  16 - 10

=  6

Step 2 :

Find the percent decrease. Round to the nearest percent.

Percentage change is

=  (Amount of change / Original amount) x 100 %

=  (6 / 16) x 100%

=  0.375 x 100 %

=  37.5 %

≃  38 %

Hence, the percentage decrease is 38%.

Problem 5 :

Over the summer, Jackie played video games 3 hours per day. When school began in the fall, she was only allowed to play video games for half an hour per day. What is the percent decrease? Round to the nearest percent

Solution :

Step 1 :

Find the amount of change.

Amount of change  =  Greater value - Lesser value

=  3 - 0.5

=  2.5

Step 2 :

Find the percent decrease. Round to the nearest percent.

Percentage change is

=  (Amount of change / Original amount) x 100 %

=  (2.5 / 3) x 100 %

=  0.8333 x 100%

=  83.33 %

≃  83 %

Hence, the percentage decrease is 83%.

After having gone through the stuff given above, we hope that the students would have understood "Finding percent decrease worksheet".

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

WORD PROBLEMS

HCF and LCM  word problems

Word problems on simple equations

Word problems on linear equations

Algebra word problems

Word problems on trains

Area and perimeter word problems

Word problems on direct variation and inverse variation

Word problems on unit price

Word problems on unit rate

Word problems on comparing rates

Converting customary units word problems

Converting metric units word problems

Word problems on simple interest

Word problems on compound interest

Word problems on types of angles

Complementary and supplementary angles word problems

Double facts word problems

Trigonometry word problems

Percentage word problems

Profit and loss word problems

Markup and markdown word problems

Decimal word problems

Word problems on fractions

Word problems on mixed fractrions

One step equation word problems

Linear inequalities word problems

Ratio and proportion word problems

Time and work word problems

Word problems on sets and venn diagrams

Word problems on ages

Pythagorean theorem word problems

Percent of a number word problems

Word problems on constant speed

Word problems on average speed

Word problems on sum of the angles of a triangle is 180 degree

OTHER TOPICS

Profit and loss shortcuts

Percentage shortcuts

Times table shortcuts

Time, speed and distance shortcuts

Ratio and proportion shortcuts

Domain and range of rational functions

Domain and range of rational functions with holes

Graphing rational functions

Graphing rational functions with holes

Converting repeating decimals in to fractions

Decimal representation of rational numbers

Finding square root using long division

L.C.M method to solve time and work problems

Translating the word problems in to algebraic expressions

Remainder when 2 power 256 is divided by 17

Remainder when 17 power 23 is divided by 16

Sum of all three digit numbers divisible by 6

Sum of all three digit numbers divisible by 7

Sum of all three digit numbers divisible by 8

Sum of all three digit numbers formed using 1, 3, 4

Sum of all three four digit numbers formed with non zero digits

Sum of all three four digit numbers formed using 0, 1, 2, 3

Sum of all three four digit numbers formed using 1, 2, 5, 6