Answer :
As total salary of salesperson is sum of the fixed salary and commission. The salesperson earned $2400 for the week.
Given-
Fixed salary of the salesperson is $150 per week.
Total commission of the salesperson is 15 percent of his sales.
Total sales by the salesperson is $15000.
We have to find out the total earning of the salesperson of the week. As total salary of salesperson is sum of the fixed salary [tex]x[/tex] and commission [tex]y[/tex]. We know that her weekly salary is $150. Therefore find out first her commission for the sales for that week.
The commission [tex]y[/tex] earned by the salesperson for the week is fifteen percent of the total sales.Hence the fifteen percent of the total sales is,
[tex]y=15000\times\dfrac{15}{100}[/tex]
[tex]y=150\times15[/tex]
[tex]y=2250[/tex]
Thus the commission earned by the salesperson is $2250.
Now add this commission earned by the salesperson [tex]y[/tex] and her fixed salary [tex]x[/tex] to calculate the Total salary earn by the salesperson s is,
[tex]s=x+y[/tex]
[tex]s=150+2250[/tex]
[tex]s=2400[/tex]
Hence, The salesperson earned $2400 for the week.
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