A local salesman receives a base salary of 675 monthly. He Also receives a commission of 11% on all sales over 1900. How Much would he have to sell in a month if he needed to have a monthly income of 3000?
My Work:
1900*.11=209
3000-675=2325
2325/209=11.12440191
1900*11.12440191=21136.36364
...So he would need to sell about 21,136.36 dollars to reach his needed monthly income needs.
I even checked my work, 21,126.36364*.11 equals about 2325, so adding 675 = 3000.
but... it's wrong, and i really don't know why.
Please Help >.<
3000 = 675 + .11 (s-1900)
2325 = .11 s - 209
.11 s = 2534
s = 23036.36
Your calculations are correct, but there seems to be a rounding error in the final step. The correct calculation would be:
1900 * 11.12440191 = 21136.364342
Now, let's check if this results in a monthly income of $3000:
21136.364342 * 0.11 = 2325.99999962
2325.99999962 + 675 = 3000.99999962
The commission plus the base salary adds up to $3000.99999962, which is very close to $3000. It's possible that there is a slight rounding issue in the way we are displaying the numbers, but in practical terms, selling approximately $21,136.36 should allow the salesman to reach his monthly income goal of $3000.
Your calculations are almost correct, but there is a slight error in one step. Let me explain the correct calculation for you:
First, let's break down the problem:
The salesman receives a base salary of $675 per month.
He also receives a commission of 11% on all sales over $1900.
He needs to have a monthly income of $3000.
To find out how much he needs to sell in a month, we can set up the following equation:
Base Salary + Commission = Desired Monthly Income
The base salary is $675, and we need to find the commission. Let's label the commission as "X."
$675 + X = $3000
To find the commission, we need to subtract the base salary from the desired monthly income:
X = $3000 - $675 = $2325
Now, we know that the commission is $2325.
The commission is calculated at 11% on all sales over $1900. So, to find the total sales required to get the commission, we can set up the following equation:
Commission = 11% of (Total Sales - $1900)
$2325 = 0.11(Total Sales - $1900)
Now, let's solve for Total Sales:
$2325 = 0.11(Total Sales - $1900)
Divide both sides by 0.11 to isolate the Total Sales:
Total Sales - $1900 = $2325 / 0.11
Total Sales - $1900 = $21136.36
Add $1900 to both sides:
Total Sales = $21136.36 + $1900
Total Sales = $23036.36
So, the salesman would need to sell approximately $23,036.36 in a month to reach his desired monthly income of $3000.
I apologize for the confusion in my previous response. Please let me know if you have any further questions.