notam cu x prețul obiectului
[tex]1)x + x \times 10\% = x + x \times \frac{10 {}^{(10} }{100} = {}^{(10} x + \frac{x}{10} = \frac{10x + x}{10} = \frac{11x}{10} [/tex]
[tex]2) \frac{11x}{10} - \frac{11x}{10} \times 10\% = \frac{11x}{10} - \frac{11x}{ \not{10}} \times \frac{ \not10}{100} = \frac{11x {}^{(10} }{10} - \frac{11x}{100} = \frac{110x - 11x}{100} = \frac{99x}{100} [/tex]
[tex] \frac{99x}{100} = 198[/tex]
[tex]99x = 198 \times 100[/tex]
[tex]99x = 19800[/tex]
[tex]x = 19800 \div 99[/tex]
[tex]x = 200 \:l ei[/tex] ✔