Aaron works part time as a salesperson for an electronics store. He earns $6.75 per hour plus a percent commission on all of his sales. Last week Aaron worked 17 hours and earned a gross income of $290.63. Find Aaron's percent commission if his total sales for the week were $3,350. If necessary, round your answer to the nearest hundredth of a percent.

Question

Michelle Hooper

Mathematics

6 April, 02:16

Aaron works part time as a salesperson for an electronics store. He earns $6.75 per hour plus a percent commission on all of his sales. Last week Aaron worked 17 hours and earned a gross income of $290.63. Find Aaron's percent commission if his total sales for the week were $3,350. If necessary, round your answer to the nearest hundredth of a percent.

+5

Answers (1)

Know the Answer?

Nathalia Conway · Answer 1

First, find out how Aaron earned from the hours he worked plus the commission (c):

6.75 x 17 + c = 290.63

114.75 + c = 290.63

Now we can work out c:

c = 290.63 - 114.75 = 175.88.

Aaron's commission is calculated as a percentage (p) of sales:

3350 x p/100 = 175.88

Multiply both sides by 100:

3350 x p = 17588

Now we can calculate p by dividing both sides by 3350:

p = 17588/3350 = 5.25%