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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.

Verified Answer :

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%

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