Answer :
Profit = Selling price - cost price
The cost price for 10000 pairs of shoes is
[tex]\begin{gathered} C=8000+10000(5.75) \\ \\ C=8000+57500 \\ \\ C=65500 \end{gathered}[/tex]The cost price is $65500
The selling price of 7850 pairs of shoes is
[tex]\begin{gathered} S=7850\times9.50 \\ \\ S=74575 \end{gathered}[/tex]The selling price is $74575
Subtract them to find the profit
[tex]\begin{gathered} P=S-C \\ \\ P=74575-65500 \\ \\ P=9075 \end{gathered}[/tex]The profit is $9075