[tex]x=pretul\ initial\\
x+\frac{20x}{100}-\frac{20}{100}(x+\frac{20x}{100})=460,8\\
x+\frac{x}{5}-\frac{1}{5}(x+\frac{x}{5})=460,8\\
\frac{6x}{5}-\frac{1}{5}*\frac{6x}{5}=460,8\\
\frac{6x}{5}-\frac{6x}{25}=460,8\\
30x-6x=11520\\
24x=11520=\ \textgreater \ x=480 lei[/tex]