Let:
Op = Original price
Pp = Price to get a profit of 30%
Fp = Final price
So:
[tex]\begin{gathered} Pp=Op+0.3\cdot Op \\ Pp=60000+0.3\cdot60000 \\ Pp=60000+18000 \\ Pp=78000 \end{gathered}[/tex][tex]\begin{gathered} Fp=Pp-0.1\cdot Pp \\ Fp=78000-0.1\cdot78000 \\ Fp=78000-7800 \\ Fp=70200 \end{gathered}[/tex]The final price is $70200 and the percentage profit is:
[tex]\begin{gathered} 70200=60000+r\cdot60000 \\ 60000r=70200-60000 \\ 60000r=10200 \\ r=\frac{10200}{60000} \\ r=0.17 \end{gathered}[/tex]The percentage profit of the final price is 17%
