SOLUTION: Sonja earned $50,000 as an accountant in 1999. Due to the recession, she agreed to a 20 % cut in salary for 2000. In 2001 the economy improved, and her salary was restored to it's

Question 149673: Sonja earned $50,000 as an accountant in 1999. Due to the recession, she agreed to a 20 % cut in salary for 2000. In 2001 the economy improved, and her salary was restored to it's original 1999 level. What percent raise did Sonja get in 2001?
So , I thought this was sort of self explanitory and that the answer would be 20% but the book says it's 25%. This is probably really simple but I can not figure it out.
Help !
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Sonja earned $50,000 as an accountant in 1999. Due to the recession, she agreed to a 20 % cut in salary for 2000. In 2001 the economy improved, and her salary was restored to it's original 1999 level. What percent raise did Sonja get in 2001?
.
1999: $50,000
2000: $50,000 - .20($50,000) = 40000
.
2001: restored to 1999
Let x = raise
then
x(40000) = 50000
x = 50000/40000
x = 5/4
x = 1.25
.
There's you 25% raise.

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