[tex]\text{Notez cu x pretul inital al obiectului:}\\
x-\dfrac{5}{100}\cdot x-\dfrac{10}{100}\cdot \left(x-\dfrac{5}{100}\cdot x\right)=171000\\
x-\dfrac{x}{20}-\dfrac{1}{10}\cdot \dfrac{19x}{20}=171000\\
\dfrac{19x}{20}-\dfrac{19x}{200}=171000|\cdot 200\\
190x-19x=34200000\\
171x=34200000\\
\boxed{x=200000\ lei}[/tex]