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Successive percentage change

Rarely Tested

  • For two successive changes of of x% and y%, the total % change is (x + y + xy/100)%
  • Note: If there is a decrease, then take a negative sign before the percentage.
Question 1

The rice production in Thailand increased by 20% from 2011 to 2012 and increased by 10% from 2012 to 2013. Find the % increase in rice production from 2011 to 2013.

Question 2

Ram’s salary increased by 10%, 12%, and 15% in the first, second, and third years, respectively. Determine the average annual percentage increase in Ram’s salary (rounded to one decimal place)

Question 3

The perimeter of a triangle is increased by 10%, with all sides increasing proportionately. What is the % increase in the area of the triangle?

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