question archive A salesperson earns a base salary of $2,000 per month and a commission of 5% on the amount of sales made
Subject:MathPrice:2.87 Bought7
A salesperson earns a base salary of $2,000 per month and a commission of 5% on the amount of sales made. If the salesperson has a paycheck of $3,006 for one month, what was the amount of sales for the month?
Answer:
The amount of sales for the month = $20,120
Step-by-step explanation
Base monthly salary = $2,000
Commission = 5%
Total monthly salary =$3,006
Commission received = Total monthly salary - Base monthly salary
=$3,006 - 2,000
= $1,006
Let the amount of total sales be x
% commission = [ ( commission received/ total sales) * 100% ]
5% = [ (1006/x )*100% ] divide through by 100%
5% / 100% = (1006/x)
0.05 = 1006/x , multiply through by x
0.05*x = 1006, divide through by 0.05
0.05x/0.05 = 1006/0.05
x = $20,120