Salesman makes both the base salary and also a commission which is the percentage of what is sales each month of his cell total dollars. He makes a total of 2000+0.1 $ what is 2000 represent a his monthly base salary and daughters be the amount of his monthly sales and dollars say his total monthly, paying dollars a day his monthly commission in dollars.
Let's say the salesman's base salary is B dollars and his sales for the month is S dollars.
His commission is calculated as a percentage of his sales: 0.1 * S dollars.
His total monthly pay is his base salary plus his commission: B + 0.1S dollars.
So, the equation representing his total monthly pay is: B + 0.1S = 2000.
This equation shows that his monthly pay is equal to 2000 dollars.
Let's break down the information given:
- The salesman makes a base salary.
- The salesman also earns a commission based on a percentage of his sales each month.
- The total amount the salesman makes is $2000 + 0.1 times the amount of his sales each month.
Let's assign variables to the unknown values:
Let's say:
- Base salary = B dollars
- Monthly sales amount = S dollars
- Commission in dollars = C dollars
Based on the given information, we can write the equation to calculate the total monthly earnings as follows:
Total monthly earnings = Base salary + Commission
= B + C
= 2000 + 0.1S
Now, we need to find the values of B and C in terms of S.
Since the commission is a percentage of the sales amount (S), we can write:
Commission = 0.1S
Now, substitute the value of the commission into the equation for total monthly earnings:
Total monthly earnings = 2000 + 0.1S
Hence, the equation to calculate the total monthly earnings of the salesman is:
Total monthly earnings = 2000 + 0.1S
To solve this problem, let's define the variables:
Let B represent the monthly base salary of the salesman.
Let D represent the monthly sales amount in dollars.
Let C represent the monthly commission in dollars.
According to the information given, the salesman makes a total of 2000 dollars, which includes both his base salary and commission. We can represent this as:
B + C = 2000 ----(Equation 1)
The commission earned by the salesman is a percentage of his sales each month. The percentage is given as 0.1 or 10% of the sales amount. So, we can calculate the commission as:
C = 0.1D ----(Equation 2)
Now, we have two equations, one for the total salary (Equation 1) and one for the commission (Equation 2).
To find the monthly base salary (B), we need to isolate B in Equation 1. Subtract C from both sides of the equation:
B = 2000 - C ----(Equation 3)
We also need to find the monthly commission (C) in terms of sales amount (D). Using Equation 2, we can substitute C with 0.1D:
B = 2000 - 0.1D ----(Equation 4)
Lastly, we can find the monthly commission (C) by substituting Equation 4 into Equation 1:
(2000 - 0.1D) + C = 2000
C - 0.1D + C = 2000 (combining like terms)
2C - 0.1D = 2000
2C = 2000 + 0.1D
C = (2000 + 0.1D) / 2 ----(Equation 5)
Equation 5 gives us the monthly commission (C) in terms of the sales amount (D).
So, to summarize:
- The monthly base salary (B) is given by Equation 4: B = 2000 - 0.1D
- The monthly commission (C) is given by Equation 5: C = (2000 + 0.1D) / 2