You work for the Pompeii Geothermal Corporation, based in the southern part of Ohio. Last year you got a 10% pay raise. But now times are tough, and you are going to have to go back to your old pay rate. As a matter of interest, by what percent are your wages being lowered to get you back to where you were before you got your raise?
You used to make $n. Now you make n + 10% of n = 1.10n. And you’ll lose x% of that, after which you’ll be back to $n.
So 1.1n – (x/100)(1.1n) = n
→ 1.1 – (1.1x/100) = 1
→ 0.1 = (1.1x/100)
→ 10 = 1.1x
→ x = 10/1.1
→ x = 9.0909… = 9 1/11 %.
→ 0.1 = (1.1x/100)
→ 10 = 1.1x
→ x = 10/1.1
→ x = 9.0909… = 9 1/11 %.