Why Does Changing Order of Rate Adjustments Affect the Final Outcome?

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I am having a tough time figuring out why the change in the rates in this problem is not equal to the sum of the pieces, any assistance would be appreciated:

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Different Bases for each individual calculation.

It doesn't work for the same reason that the old trick question doesn't get you back where you started...

What is 100 less 10% and then the result is increased by 10%? Please respond to this question.
 
tkhunny said:
Different Bases for each individual calculation.

It doesn't work for the same reason that the old trick question doesn't get you back where you started...

What is 100 less 10% and then the result is increased by 10%? Please respond to this question.

Agree, but then the order of the adjustments would dictate the impact. Meaning the 4th adjustments will have one bases point impact as the last adjustment but a different impact as the first adjustment.

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tkhunny said:
Different Bases for each individual calculation.

It doesn't work for the same reason that the old trick question doesn't get you back where you started...

What is 100 less 10% and then the result is increased by 10%? Please respond to this question.

99,