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31 March, 02:30

The weekly sales commission at Company X is 2 percent of the first $2,000 of weekly sales plus 15 percent of the weekly sales in excess of the first $2,000. The weekly sales commission at Company Y is 5 percent of the first $2,000 of weekly sales plus 10 percent of the weekly sales in excess of the first $2,000. In a given week, what is the amount of weekly sales at Company Y that would earn the same weekly sales commission as $5,000 in weekly sales at Company X? A. $5,900B. $5,300C. $4,900D. $4,800E. $4,500

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  1. 31 March, 05:38
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    A) $5900

    Step-by-step explanation:

    For company X, we have 2% on the first $2000 sales

    = (2/100) * 2000

    = $40 commission

    The remainder = $5000 - $2000

    = $3000

    For the remainder $3000, we have a commission of 15%

    = (15/100) * 3000

    = $450

    The total sales of company X = 450 + 40

    = $490

    For Y, we have 5% in the first $2000 sale

    = (5/100) * 2000

    = $100 commission

    After the remaining $3000, the commission = 490 - 100

    = $390 (which is 10% above $2000 sales)

    If $390 is 10%, then 100% = $3900

    Total sales will be $2000 + $3900

    = $5900 (A)
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