Determine the cost of bed after discount.
[tex]\begin{gathered} C=580-\frac{30}{100}\cdot580 \\ =580-174 \\ =406 \end{gathered}[/tex]Determine the price of the bed after the price is marked up.
[tex]\begin{gathered} C^{\prime}=406+406\cdot\frac{30}{100} \\ =406+121.8 \\ =527.8 \end{gathered}[/tex]So price of bed after markup is $527.8.