X= pret initial Y=X+ 10% x X
(X + 10% x X) - 10% x Y =148,5
Y-[tex] \frac{10}{100} [/tex] x Y = 148,5
Y - [tex] \frac{10Y}{100} [/tex] = 148,5
[tex] \frac{Y}{1} [/tex] - [tex] \frac{10Y}{100} [/tex]=148,5
amplificam cu 100 fractia Y supra 1 => [tex] \frac{100Y}{100} - \frac{10Y}{100} =148,5 [/tex]
[tex] \frac{90Y}{100} =148,5[/tex]
90Y=148,5 x 100 => y=14850: 90= 165
X + [tex] \frac{10}{100} [/tex] x X=165
[tex] \frac{x}{1} + \frac{10X}{100} [/tex]=165
amplificam fractia [tex] \frac{X}{1} [/tex] cu 100 si rezulta ca [tex] \frac{100X}{100} + \frac{10X}{100}=165 [/tex]
110X =16500
X=16500:110=150
