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Question

One sales person is paid a salary of $800 per month plus a commission of 3% of her total sales. A second salesperson receives no salary, but is paid a commission of 10% of her total sales. What dollar amount of sales must the second salesperson have in order to earn more per month than the first?

Answer 1

Let x = total sales, then the first person makes 800 + .03x, the second makes .1x and set up the inequality:

 

.1x > .03x + 800 and solve

 

.07 x > 800

 

x > 11428.57