Thursday, August 29, 2013

John's annual salary after a raise of 15% is $45,000. What was his salary before the raise?

When an original amount or any other quantity is increased or raised by a given percentage the relationship between the original and the increased amount is given by the following formula.


x' = x*(100+p)/100   ...   (1)


Or


x = x'*100/(100+p)   ...   (2)


Where:


x = original amount


x' = increased amount


p = percentage increase


In the question it is given that:


Salary after raise = x' = $45000


Percentage raise = p = 15


We have to find salary before raise, that is x.


Substituting values of x' and p in the formula (2) we get:


x = 45000*100/(100 + 15) = 4500000/115 = 39130.43



Answer:


John's salary before raise was $39130.43

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