[tex]\text{Notam cu x pretul initial.}\\\underbrace{x+\dfrac{20}{100}\cdot x}\underbrace{-\dfrac{20}{100}\left(x+\dfrac{20}{100}\cdot x\right)}=460,8\\\text{dupa majorare}~~~\text{dupa reducere}\\x+\dfrac{x}{5}-\dfrac{1}{5}\cdot \left(x+\dfrac{x}{5}\right)=460,8\\\dfrac{6x}{5}-\dfrac{1}{5}\cdot \dfrac{6x}{5}=460,8 |\cdot 25\\30x-6x=11520\\24x=11520\\\boxed{x=480\text{ lei}}\\\text{Pretul initial este de 480 de lei.}[/tex]
