Represent the Marked price with an unknown
Let the marked price of the laptop be y
Write out the equation that relates the given information
[tex]\begin{gathered} y-25\text{ \% of y = \$463.20} \\ y-\frac{25}{100}\times y=\text{ \$463.20} \\ y-\frac{1}{4}y=\text{ \$463.20} \\ \frac{4y-y}{4}=463.20 \\ \frac{3y}{4}=463.20 \end{gathered}[/tex]
Solve for the marked price
[tex]\begin{gathered} \frac{3}{4}y=463.20 \\ \text{multiply both sides by 4} \\ 4\times\frac{3}{4}y=4\times463.20 \\ 3y=1852.80 \\ \text{divide through by 3} \\ \frac{3y}{3}=\frac{1852.80}{3} \\ y=617.6 \end{gathered}[/tex]
Hence, the regular price of the laptop is $617.60