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Determine whether each percent of change is a percent of increase or a percent of decrease. Then find the percent of change.

Original:24New:40

Short Answer

Expert verified

The value of the percentage change is 66%.

Step by step solution

01

Step 1. Use the definition of the percentage change.

The percent change is the increase or decrease in the value of a quantity. If the new value is larger than the original value then it is a percent increase and if the change in value is lesser than the original value it is called percentage decrease.

For example, if a person has 25 dollars and he gets 3 more dollars and now has 28 dollars, its percentage increase is calculated as shown:

Increase=28-25=3%change=r,then325=r100r=325100=12%

02

Step 2. Decide whether the percentage increases or decreases. 

Since the new amount is smaller than the original amount, there is a percent of decrease.

03

Step 3. Find the percentage change.

We are given that

Original:40New:24

This is a percent of increase because the new amount is less than the original.

We find the amount of change. And calculate the percentage change as follows:

Change=40-24=16%change=r,then1624=r100r=1624100r=%change=66%

Rounding answer off to the nearest whole number, the percentage change is

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