Răspuns:
[tex]\color{CC0000}\Large\boxed{\bf x = 250~lei }[/tex]
Explicație pas cu pas:
Buna!
Notam cu x prețul initial al obiectului
[tex]\bf (x+20\% \cdot x) + (x+20\% \cdot x)\cdot 20\% = 360[/tex]
[tex]\it~~[/tex]
[tex]\bf \bigg(x+\dfrac{20}{100}\cdot x\bigg) + \bigg(x+\dfrac{20}{100}\cdot x\bigg)\cdot \dfrac{20}{100} = 360 ~~\bigg|\cdot 100[/tex]
[tex]\it~~[/tex]
[tex]\bf 100x+20x + \bigg(x+\dfrac{20}{100}\cdot x\bigg)\cdot 20 = 36000 ~~\bigg|\cdot 100[/tex]
[tex]\it~~[/tex]
[tex]\bf 120x + 20x+\dfrac{20x}{100}\cdot 20 = 36000[/tex]
[tex]\it~~[/tex]
[tex]\bf 140x +\dfrac{\not20x}{\not100} \cdot \not20 = 36000[/tex]
[tex]\it~~[/tex]
[tex]\bf 140x +4x = 36000[/tex]
[tex]\bf 144x = 36000~~~\bigg|:144[/tex]
[tex]\large\boxed{\boxed{\bf x = 250~lei }}[/tex]
PS: Daca esti pe telefon, te rog sa glisezi spre dreapta pentru a vedea rezolvarea completa
#copaceibrainly
