Abebe has diducted 7% of his monthly salary for pension and 35% for work tax and if his net salary is 31700 birr.How much is his gross salary ?
A. how much he pay for work tax?
B. How much does he pay for pension ?
Let's assume his gross salary is x.
According to the problem,
- He has deducted 7% for pension, which means he receives 93% of his gross salary after pension deduction.
- He has deducted 35% for work tax, which means he receives 65% of his gross salary after work tax deduction.
So we can create two equations:
0.93x - (0.07x) - (0.35x) = 31700 (taking into account both deductions)
0.58x = 31700 (combining like terms)
Solving for x, we get:
x = 54655.17
So, his gross salary is 54655.17 birr.
A. To find how much he pays for work tax:
0.35x = 0.35(54655.17) = 19139.3065
He pays 19139.31 birr for work tax.
B. To find how much he pays for pension:
0.07x = 0.07(54655.17) = 3825.8599
He pays 3825.86 birr for pension.
Abebe has diducted 7% of his monthly salary for pension and 35% for work tax and if his net salary is 31700 birr.How much is his gross salary in what formula?
A. how much he pay for work tax in what formula ?
B. How much does he pay for pension in what formula ?
The formula to calculate Abebe's gross salary is:
Gross Salary = Net Salary / (1 - Pension %) / (1 - Work Tax %)
A. The formula to calculate how much Abebe pays for work tax is:
Work Tax = Gross Salary x Work Tax %
B. The formula to calculate how much Abebe pays for pension is:
Pension = Gross Salary x Pension %
To find Abebe's gross salary, we need to add back the deductions from his net salary.
Let's denote Abebe's gross salary as X.
A. To find how much he pays for work tax:
35% of X = Work tax
We don't have this value yet, but we can calculate it using information given later.
B. To find how much he pays for pension:
7% of X = Pension
Now let's calculate the deductions:
Pension + Work tax = Deductions
= 7% of X + 35% of X
= (7/100)X + (35/100)X
= (42/100)X
We are given that Abebe's net salary is 31700 birr.
So, X - (42/100)X = 31700
Simplifying the equation:
(100/100)X - (42/100)X = 31700
(58/100)X = 31700
X = (31700 * 100) / 58
X = 54724.14 birr
Now we can calculate the amounts paid for work tax and pension:
A. Work tax:
35% of 54724.14 = (35/100) * 54724.14
= 19160.95 birr
B. Pension:
7% of 54724.14 = (7/100) * 54724.14
= 3830.69 birr
Therefore, Abebe's gross salary is 54724.14 birr, he pays 19160.95 birr for work tax, and he pays 3830.69 birr for pension.