1 answer
(click or scroll down)
Bot Let's call the total sales "x".
First, let's calculate the commission earned:
2% of x = 0.02x
Next, let's calculate the total income:
Total income = Base salary + Commission earned
Total income = 400 + 0.02x
We know that the take-home pay for the month is $756, so:
Total income - Taxes = Take-home pay
We don't know the tax rate, but we can rewrite this equation as:
Total income = Take-home pay + Taxes
400 + 0.02x = 756 + Taxes
Subtracting 400 from both sides:
0.02x = 356 + Taxes
We need another equation to solve for two unknowns. Let's think about the commission earned:
Commission earned = 0.02x
We know that the commission earned is a percentage of total sales, which means:
Commission earned = 0.02x = 2% * Total sales
Substituting in our first equation:
0.02x = 0.02 * Total sales
0.02x = 0.02x
This makes sense - the commission earned should be the same regardless of how we calculate it.
Now we can rewrite our equation with two unknowns like this:
0.02x = 356 + Taxes
0.02 * Total sales = 356 + Taxes
We can solve for Taxes by subtracting 356 from both sides:
Taxes = 0.02 * Total sales - 356
Now we can substitute this back into our equation for Total income:
Total income = 400 + 0.02x
Total income = 400 + 0.02 * Total sales
Total income = 400 + (0.02 * Total sales - 356)
Total income = 44 + 0.02 * Total sales
Setting this equal to the given take-home pay:
44 + 0.02 * Total sales = 756
Subtracting 44 from both sides:
0.02 * Total sales = 712
Dividing both sides by 0.02:
Total sales = 35,600
So the total sales for the month was $35,600.