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

Mathematics

Trace Hoffman

4 October, 18:00

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.

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Answers (1)

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Averi Benitez · 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%