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CONSUMER PRICE INDEX An index measures the percent change of a value from a base year. An index of 115 means that there was a 15% increase from the base year. In 2000, the consumer price index of dairy products was 160.7. In $2005, it was 182.4. Determine the percent of change.

Short Answer

Expert verified

The percent of change is 13.50%.

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.

02

Step 2. Example of percentage change.

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%

03

Step 3. Find the percentage change. 

We are given that the Consumer price index in 2000 for dairy products was 160.7 and

in 2005, it was 182.4.

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

If we let x represent the percentage change then, we can find the amount of change as follows:

Change:182.4-160.7=21.7points.PercentChange:21.7160.7100%=0.135(100%)=13.50%

Thus, the percent of change is 13.50%.

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