[tex]x\to \ pretul \ initial \\\\ 20\% \ din \ x \to \frac{20}{100}*x= \frac{1}{5}*x\to \frac{x}{5} -prima \ scumpire \\\\ x^{(5}+\frac{x}{5}=\frac{5x+x}{5}\to \frac{6x}{5}-noul \ pret \\\\ 20\% \ din \ \frac{6x}{5}= \frac{20}{100}*\frac{6x}{5}=\frac{1}{5}*\frac{6x}{5}\to\frac{6x}{25}-a \ doua \ scumpire \\\\ \frac{6x}{5}^{(5}+\frac{6x}{25}= \frac{30x+6x}{25}\to \frac{36x}{25}-noul \ nou \ pret \\\\ \frac{36x}{25}=576 \\\\ x=\frac{25*576}{36} \\\\ x=25*16 \\\\ \boxed{x=400}[/tex]
