A country’s real GDP per capita first grows by 10% and then declines by 10%. The final real GDP per capita will be:Group of answer choicesonly nominal real GDP per capita will be unchangedlower than originallyunchangedhigher than originally
Question
A country’s real GDP per capita first grows by 10% and then declines by 10%. The final real GDP per capita will be:Group of answer choicesonly nominal real GDP per capita will be unchangedlower than originallyunchangedhigher than originally
Solution
The final real GDP per capita will be lower than originally. Here's why:
Step 1: Let's assume the initial GDP per capita is $100 (just to keep the math simple).
Step 2: If it grows by 10%, it increases to 100 + $10).
Step 3: If it then declines by 10%, it decreases by 110 * 10/100), not $10.
Step 4: So, the final GDP per capita is 110 - 100.
This is a common mathematical concept where an increase of x% followed by a decrease of x% does not bring you back to the original number.
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