Aileen is a salesperson at Lopez Sporting Goods. She paid a monthly commission on all Little League uniforms she sells. She receives 10% of her first $2000 in sales and 12% of the balance of her sales. Last week she earned $231.20. What was the total value of the uniforms she sold?

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ISBN:9780470458365
Author:Erwin Kreyszig
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Aileen is a salesperson at Lopez Sporting Goods. She paid a monthly commission on all Little League uniforms she sells. She receives 10% of her first $2000 in sales and 12% of the balance of her sales. Last week she earned $231.20. What was the total value of the uniforms she sold?
Expert Solution
Step 1

Given that, Aileen receives 10% of her first $2000 in sales and 12% of the balance of her sales.

The monthly commission received for first $2000 is 10% of $2000 implies,

10%  of  $2000=10100×2000=200

Thus, Aileen receives $200 for her first $2000 sales.

Given that, last week she earned $231.20.

Clearly, $231.20 is greater than $200.

That means, she must have earned more than $2000 sales.

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