For company X, let total sales be A.
Now, we are given that sales commission at Company X = \(\frac{2}{100} \times 2000 + \frac{15}{100} \times (A-2000)\)
For company Y, let total sales be B.
Now, we are given that sales commission at Company Y = \(\frac{5}{100} \times 2000 + \frac{10}{100} \times (B-2000)\)
We need to find the amount of weekly sales at company Y such that the commission at both the companies is equal.
We are given the value of A = 5000
Commission at company X = \(\frac{2}{100} \times 2000 + \frac{15}{100} \times (5000-2000)\)
= \(40 + 450\) = 490
Commission at company Y = \(\frac{5}{100} \times 2000 + \frac{10}{100} \times (B-2000)\)
= \(100 + 0.1 \times B - 200\) = \(0.1 \times B - 100\)
Commission at X = Commission at Y
\(490 = 0.1 \times B - 100\)
\(590 = 0.1 \times B\)
B = 5900
OA, ACarcass wrote:
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. $5,900
B. $5,300
C. $4,900
D. $4,800
E. $4,500
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