The savings is the difference between the original price and the final price.

\\(\begin{aligned}
\text{Let original price} &= x
\\
\text{After 25\% off} &= 0.75x
\\
\text{After additional 20\% off} &= 0.75x \times 0.80 = 0.60x
\\
\text{Savings} &= x - 0.60x = 0.40x = \$108
\\
x &= \$108 \div 0.40 = \$270
\end{aligned}\\)

Final Answer: \$270