SOLUTION: An assistant receives a 10 10​% ​raise, bringing the salary to ​$ 45,112. What was the salary before the​ raise?

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Question 1132839: An assistant receives a
10
10​% ​raise, bringing the salary to ​$
45,112. What was the salary before the​ raise?
Found 2 solutions by MathLover1, Theo:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
An assistant receives a 10%E2%80%8B%=0.10 ​raise, bringing the salary to
​$45112.
let’s the salary before the​ raise be x
then,
​$45112=x%2B0.10x
​$45112=1.10x
​$x=45112%2F1.10
​$x=41010.90

$41010.90=>the salary before the​ raise


Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the salary after the 10% raise is equal to 45112.
if you let x = the salary before the 10%, then x + .10 * x = 1.10 * x is the salary after the 10% raise.
therefore, 1.10 * x = 45112.
solve for x to get x = 45112 / 1.10 = 41010.90909.
that's the salary before the 10% raise.
add 10% of 41010.90909 to it to get 41010.90909 + 4,101.090909 which results in 45112.
the salary after the 10% raise is 45112.
the salary before the 10% raise is 41010.90909