Answer:
The current sale price is;
![\text{\$}568.4](https://img.qammunity.org/2023/formulas/mathematics/high-school/wuvo7n165n0lrhlyonuqdvucb86h7w2eyf.png)
Step-by-step explanation:
Given that the selling price was first at $812.
Then the store advertised a 30% markdown on the system.
the markdown percent can be expressed as;
![\begin{gathered} \text{\%}P=(\Delta S)/(S)*100\text{\%} \\ \text{\%}P=mark\text{ up percent} \\ S=\text{ initial selling price} \\ \Delta S=amount\text{ reduction in selling price} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/967y6rurm7yxkg5d064d6gpl76btrjfiat.png)
given;
![\begin{gathered} \text{\%}P=30\text{\%} \\ S=\text{ \$812} \\ \text{substituting;} \\ 30\text{\%}=(\Delta S)/(812)*100\text{\%} \\ \Delta S=\frac{812*30\text{\%}}{100\text{\%}} \\ \Delta S=\text{ \$243.6} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/q4suilgxmra4adwg4ka3h71gnye3f2c4io.png)
So, the current selling price will be;
![\begin{gathered} S_N=S-\Delta S \\ S_N=\text{ \$812}-\text{ \$243.6} \\ S_N=\text{ \$}568.4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/vgvdznqft925bu4lnwxmurz19t1nmfttxe.png)
The current sale price is;
![\text{\$}568.4](https://img.qammunity.org/2023/formulas/mathematics/high-school/wuvo7n165n0lrhlyonuqdvucb86h7w2eyf.png)