Respuesta :

Answer:

Explanation:

Given that the initial/cost price is;

[tex]\text{ \$145}[/tex]

It was then marked up 175%.

The new price can be calculated using the formula;

[tex]\begin{gathered} S=C+r(C) \\ S=(1+r)C \\ \text{where;} \\ S=\text{ new price} \\ C=\text{ cost price} \\ r=\text{markup percent in fraction} \end{gathered}[/tex]

Given;

[tex]\begin{gathered} C=\text{ \$145} \\ r=\frac{175\text{\%}}{100\text{\%}} \\ r=1.75 \end{gathered}[/tex]

substituting:

[tex]\begin{gathered} S=(1+r)C \\ S=(1+1.75)\times\text{ \$145} \\ S=2.75\times\text{ \$145} \\ S=\text{ \$398.75} \end{gathered}[/tex]

Therefore, the new price is;

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