[tex]\text{Notam suma de bani initiala cu x.}\\
x-\dfrac{x}{4}-\dfrac{60}{100}\left(x-\dfrac{x}{4}\right)=48\\
\dfrac{3x}{4}-\dfrac{3}{5}\cdot\dfrac{3x}{4}=48\\
\dfrac{3x}{4}-\dfrac{9x}{20}=48|\cdot 20\\
\\
15x-9x=960\\
6x=960\Rightarrow \boxed{x=160\ lei}\\
R:\text{Suma initiala a fost de 160 lei.}[/tex]