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Help with math homework

[From: ] [author: ] [Date: 11-05-03] [Hit: ]
This means you need a 14.3% increase in salary to go back to 52000-14.......
This will probably be an easy one for you business minded people, but I've been sitting here staring at it for what feels like hours and can't figure it out. I would really appreciate if someone would explain how to do it.

You earn $52000/year. You receive a 12.5% salary cut. What percent must the raise be to go back to the original $52000?

I figured out that the amount after the cut is $45500 but that's it.

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So your original salary gets cut by 12.5%,

52000*(1-.125) = 45500.

What percent increase of 45500 must be made to go back to 52000?

45500*x = 52000 => x = 52000/45500 =~ 1.143

This means you need a 14.3% increase in salary to go back to 52000

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14.2857%
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