# Calculation of gross salary from net [closed]

Assume the gross salary is $150,000$ monthly & tax brackets are as follows:

• $01 – 5,000 = 0$% Tax

• $5,001 – 12,500= 2$% Tax

• $12,501 – 100,000 = 10$% Tax

• More than $100,000 = 20$% Tax

Now if we calculate tax based on tax bracket it comes to $18,900$ & net salary comes to $131,100$. Now how we can find gross salary from net Salary. Thank you

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## closed as off-topic by Yes, Daniel Rust, Hakim, Paul, studiosusJul 4 '14 at 1:35

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Is it $150,000$ monthly or yearly? –  Amzoti Feb 25 '13 at 15:16

Let's call the person whose salary we are calculating Sally. Since we know that the net salary is $131,100 \gt 100,000$, Sally must have paid the full amount of tax in the lower tax brackets between $1-100,000$, paying a total of $8900$. Thus Sally's gross income would have to be $131,000+8900+x=140000+x$, where x is the amount of tax Sally paid in the tax bracket above $100,000$. Since the tax bracket above $100,000 charges 20% tax, we have $$20×((140000+x)-100000)=x$$ Solving, we get$x=10000$, and the gross income being$150000\$.