From the given information, we can establish the following rule of three:
[tex]\begin{gathered} \text{ \$1500 -------- 100 \%} \\ \text{ x -------- 17.5 \%} \end{gathered}[/tex]where x is the corresponding money to 17.5%.
Then, by cross multiplying these quantities, we have
[tex]\text{ 100\% }\times x=\text{ \$1500}\times\text{ 17.5 \%}[/tex]and by dividing both sides by 100%, we have
[tex]\begin{gathered} x=\frac{\text{\$1500}\times\text{ 17.5 \%}}{\text{ 100\%}} \\ x=\text{ \$262.50} \end{gathered}[/tex]Therefore, the comission corrresponding to 17.5% is $ 262.50