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FINANCIAL LITERACY The current price of each share of a technology company is $135. If this represents a 16.2% increase over the past year, what was the price per share a year ago?

Short Answer

Expert verified

The price of each share a year ago was $116.18.

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 the 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 Current share price of a technology company is $135. And that it is a 16.2% increase over the past year.

ChangeOriginalamount=r100

If we let x represent the price of each share a year ago, we can find it as follows:

localid="1642764148222" Change:135-x135xx=16.2100100135x=16.2x13500100x=16.2x13500=16.2x+100x13500=116.2xx=13500116.2x=116.18

Thus, the price of each share a year ago was $116.18.

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