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Given a series discount of 25/25 what is the net cost equivalent?

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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\%

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}

Therefore, the net cost equivalent is 56.25%.

User Rob Packwood
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