We need to find the net cost equivalent after two consecutive discounts of 25%.
After the first discount, the percentage of the list price the client should pay is given by:
![100\%-25\%=75\%](https://img.qammunity.org/2023/formulas/mathematics/high-school/y0kmrqu68enjfyy8aii5zqek35azupjb4e.png)
After the second discount, the percentage of the list price the client should pay is:
![\begin{gathered} 75\%\cdot(100\%-25\%) \\ \\ =75\%\cdot75\% \\ \\ =(75)/(100)\cdot(75)/(100) \\ \\ =(5625)/(100)\cdot(1)/(100) \\ \\ =56.25\% \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/55fltacfw1qoalno762673c1ozp2jbq6nq.png)
Therefore, the net cost equivalent is 56.25%.