[tex]x -pretul \ initial \\ 10\% \ din \ x= \frac{10}{100} *x = \frac{1}{10} * x= \frac{x}{10} -\ prima \ reducere\ \\ \\ x^{(10} - \frac{x}{10}= \frac{10x-x}{10}= \frac{9x}{10} -\ noul \ pret \\ \\ 10\% \ din \ \frac{9x}{10}= \frac{10}{100} * \frac{9x}{10}= \frac{1}{10} * \frac{9x}{10}= \frac{9x}{100} -\ a \ doua \ reducere \\ \\ \frac{9x}{10}^{(10} -\frac{9x}{100}= \frac{90x-9x}{100} = \frac{81x}{100} -noul \ pret \\ \\ \frac{81x}{100}= 162 => x= \frac{100*162}{81} \\ \\ \boxed{x=200}[/tex]
