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You and your coworker together make $ 16 per hour. You know your coworker earns 10 percent more than you do. Your hourly wage is $7.62 .

After taking Math your hourly wage is raised to $ 12. This is a raise of 57.49 %.

After returning to work you can't help mentioning casually to your coworker that now you make ? How much % do you earn more than he does?

Verified Answer :

syed514

First you must find out how much your coworker makes. Since they make 10% more than you, you need to multiply your wage by 1.1, since 0.1 is 10% of 1. After doing this, find the percentage difference between your new wage and their wage. Your wage increase of 57.49% is computed by

100(12−7.627.62)
so think in terms of this to find the percentage difference between your coworker's and your wage.

Answer:

43.16 %  ( approx )

Step-by-step explanation:

Given,

My original wages = $7.62,

If my coworker earns 10 percent more than me,

Then his wages = (100+10)% of my wages

= 110% of 7.62

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@@MATH_TOKEN_1@@

= $ 8.382,

Now, my new wages = $ 12,

\(\because \frac{\text{Difference between me and my coworker's wages}}{\text{Coworker's wages}}\times 100=\frac{12-8.382}{8.382}\times 100\)

\(=\frac{3.618}{8.382}\times 100\)

≈ 43.16 %

Hence, I earn 43.16% more than he does.

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