Find gross salary from net salary.HELP!

[25noname88]

I have this problem and I honestly have no clue where to start. I have a given net salary, which is 800 Eur. I have to find the gross salary. The tax levels that are paid are as follows:
0-80 = 0%
80-250= 4%
250-450=8%
450+=10%
There is also a 5% paid for pension funds which is deducted from gross payment.
HELP!!

 

[stapel]

I have a given net salary, which is 800 Eur. I have to find the gross salary. The tax levels that are paid are as follows:
0-80 = 0%
80-250= 4%
250-450=8%
450+=10%
There is also a 5% paid for pension funds which is deducted from gross payment.

Do the "levels" refer to percentages taken from payments in the listed ranges, so "0-80 = 0%" means "no taxes paid on the first eighty Euro"? And then "80-250 = 4%" means "four percent is paid on any amount above eighty Euro, up to the first two hundred fifty Euro"? Or does "80-250 = 4%" mean "four percent is paid on the total amount if that total is between eighty and two hundred fifty Euro"?

Also, is "80" included in "0%" or in "4%"? (It can't be in both.)

When you reply, please show your efforts so far. Thank you!

 

[25noname88]

Further explanation

Do the "levels" refer to percentages taken from payments in the listed ranges, so "0-80 = 0%" means "no taxes paid on the first eighty Euro"? And then "80-250 = 4%" means "four percent is paid on any amount above eighty Euro, up to the first two hundred fifty Euro"? Or does "80-250 = 4%" mean "four percent is paid on the total amount if that total is between eighty and two hundred fifty Euro"?

Also, is "80" included in "0%" or in "4%"? (It can't be in both.)

When you reply, please show your efforts so far. Thank you!

Let's say my gross salary is 600 euro. The initial thing that happens is a deduction of 5 % for the pension funds. wich mean the taxable payment is 570. According to the tax levels, my net salary would be:

0-80=80 x 0%=0
80-250= 170 x 4%=6.8 Eur
250-450= 200 x 8%= 16 Eur
450-570= 120 x 10%= 12 Eur
Net salary= 570-6.8-16-12=535.2 Eur

This is how net salary is calculated. I need to calculate gross salary based on this logic. I would ask my teacher if this was a school task, but I need it for something really important, and your help is much appreciated.

 

[25noname88]

Well, if the net is 800, then only 450+ can apply, so why give that breakdown?!

(G = gross salary)
G
-.10G
====
.90G
-.05(.90G)
=======
.855G

If you can't finish it, talk to your teacher...

My bad for not explaining it better. I just replied to another member about how the calculation goes. I would appreciate it if you could give it a glance and help me if possible. This not a school task, otherwise I would ask my teacher. I need this for a really important issue. Thank you

 

[stapel]

80-250= 170 x 4%=6.8 Eur
250-450= 200 x 8%= 16 Eur
450-570= 120 x 10%= 12 Eur

These computations are not valid. For instance, 450 - 570 does not equal 12. But, from what you have posted, I will guess that my interpretation of the purpose of the intervals was correct.

Since any model would likely involve a piecewise function, you may find it helpful to develop a table, particularly with respect to the interval cut-off points. For this (or any other) model, you will need first to decide what to do with the endpoints. For instance, within which interval is "80" included?

 

[trinzed]

If the net is over 450, the equation will contain the entire tax process. I cannot post the equation per the rules. But x - 5% of x is:
x - x(0.05) which is: x(0.95).