Notez cu p pretul initial.
→Pretul a crescut cu 20% :
[tex]x + \frac{20x}{100} = x + \frac{2x}{10} =\frac{12x}{10}=\frac{6x}{5}[/tex]
→Noul pret a crescut cu 15% :
[tex]\frac{6x}{5}+\frac{15}{100} *\frac{6x}{5} = \frac{6x}{5}*\frac{18x}{100} =\\\\\frac{6x}{5} + \frac{9x}{50} = \frac{69x}{50}[/tex]
→Dupa cele doua cresteri:
[tex]\frac{69x}{50} = x + 760[/tex]
[tex]69x = 50x + 760 * 50[/tex]
[tex]19x = 760 * 50[/tex]
[tex]x=\frac{760*50}{19} = 40 * 50 = 2000lei[/tex]
⇒ x = 2000 lei ( pretul initial )
Pretul dupa prima scumpire :
[tex]2000 + \frac{20*2000}{100} = 2000 + 20*20 = 2000+400=2400lei[/tex]
