Question

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?

Answer 1

43.16 % ( approx )

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

`=(110* 7.62)/(100)`

`=(838.2)/(100)`

= $ 8.382,

Now, my new wages = $ 12,

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

`=(3.618)/(8.382)* 100`

≈ 43.16 %

Hence, I earn 43.16% more than he does.

Answer 2

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.