Question:
A salesperson earns commission on the sales that she makes each month.
The salesperson earns a 5% commission on the first $5,000 she has in sales.
The salesperson earns a 7.5% commission on the amount on her sales that are greater than $5,000.
Part A:
This month the salesperson had $8,000 in sales. What amount of commission, in dollars, did she earn?
Part B:
The salesperson earned $1,375 in commission, last month. How much money, in dollars, did she have in sales last month?
Answer:
A) The amount of commission = $575
B) The total sales amount = $20000
Step-by-step explanation:
Given:
Total amount earned = $8,000 in sales
To Find :
The amount of commission, in dollars
Solution:
The commission she earns = Commission 1+ Commission 2----------(1)
Commission 1 = 5% of 5000
Commission 2 = 7.5 % of (8000- 5000}
Finding commission 1:
= 5% of 5000
= [tex]\frac{5}{100} \times 5000[/tex]
= [tex]0.05 \times 5000[/tex]
= $250 ------------------------------(2)
Finding commission 2:
= 7.5 % of (3000)
=[tex]\frac{7.5}{100}\times 3000[/tex]
= [tex]0.075 \times 3000[/tex]
= $225----------------------------------(3)
Substituting (2) and (3) in (1)
The commission she earns = $250 + $225 = $575
Given:
Total commission earned = $1375
To Find :
The total sales amount = ?
Solution ;
Let the sales amount be x
Then
1375 = 5% of 5000 + 7.5 % of (x -5000)
[tex]1375 = 0.05 \times 5000 + 0.075 \times (x -5000)[/tex]
1375 = 250 + 0.075x - 375
1375 = -125 + 0.075 x
1375 +125 = 0.075 x
1500 = 0.075x
[tex]x = \frac{1500}{0.075}[/tex]
x = 20000
The total sales amount is $20000
