SOLUTION: Don, an office equipment sales representative, earns a weekly salary plus a commission on his sales. On week his total comensation( weekly salary +commission amount) on sales of $

Question 419224: Don, an office equipment sales representative, earns a weekly salary plus a commission on his sales. On week his total comensation( weekly salary +commission amount) on sales of $4000was $660. The next week his total compensation on sales of $6000 was $740. Find Don's weekly salary and his commission rate.
Answer by duckness73(47) (Show Source): You can put this solution on YOUR website!
Let s = Don's salary
Let p = Don's commission rate
Note that the dollar amount of Don's commission is a percent of the sales, so Don's dollar commission on sales of $4000 is 4000p and Don's dollar commission on sales of $6000 is 6000p. His salary is fixed, no matter how much he sells. So, using his compensation totals for the two weeks, we have:
In week 1: s + 4000p = 600
In week 2: s + 6000p = 740
Solving these two simultaneous equations, we have equation 1:
s = 600 - 4000p
Substituting into equations 2, we have
600 - 4000p + 6000p = 740
600 + 2000p = 740 (combining like terms)
2000p = 140 (subtracting 600 from both sides)
p = 0.07 (dividing both sides by 2000)
This means that Don's commission is 0.07 of sales, or 7%.
In figuring up Don's weekly salary, we can use either of the two equations, say equation 1:
s + 4000p = 600 (equation 1)
s + 4000(0.07) = 600 (substituting value for variable p)
s + 280 = 600 (simplifying the term)
s = 320 (subtracting 280 from both sides)
This Don's weekly salary is $320 and his commission rate is 7%

RELATED QUESTIONS
Don Lavigne, an office equipment sales representative, earns a weekly salary plus a... (answered by richwmiller)

Don Lavigne, an office equipment sales representative, earns a weekly salary plus a... (answered by Theo)

A salesman earns Php 2500 a week plus 6% commission on weekly sales exceeding Php 75000.... (answered by TimothyLamb)

Jackson works at an appliance store and earns commission on his total sales for the week. (answered by mathsolverplus)

Justin works as a car salesman where he earns 8% commission on his sales and no weekly... (answered by rfer)

MARIA AND LIAM WORK IN A BANQUET HALL.MARIA EARNS A 20% COMMISSION ON HER FOOD SALES .... (answered by richwmiller)

Maria and Liam work in a banquet hall. Maria earns a 20% commission on her food sales .... (answered by josmiceli)

a salesman earns 2500 a week plus 6% commission on weekly sales exceeding 75000. if his... (answered by rothauserc)

Mr. Wright earns a salary of $150 a week plus a 12% commission on his sales. If Mr.... (answered by checkley71)