SOLUTION: From 1950 to 1990, the population of Country W increased by 40%. From 1990 to 2012, the population of Country W increased by 10%. What is the percent increase in the population of

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Question 1181455: From 1950 to 1990, the population of Country W increased by 40%. From 1990 to 2012, the population of Country W increased by 10%. What is the percent increase in the population of Country W from 1950 to 2012?
Answer by greenestamps(13203) About Me  (Show Source):
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Calculate the percent increase or decrease in a measurement equivalent to two or more successive increases or decreases by viewing each increase or decrease as a multiplication by some factor instead of an addition or subtraction.

An increase of 40% (from 100% to 140%) means multiplication by a factor of 1.40 = 1.4; an increase of 10% means multiplication by a factor of 1.10 = 1.1.

Then an increase of 40% followed by an increase of 10% means multiplication by successive factors of 1.4 and 1.1.

%28x%29%281.4%29%281.1%29+=+1.54x

ANSWER: The percent increase from 1950 to 2012 is 54%.