Step 1: Given mass of organic compound = $0.245\,g$.
Step 2: Given mass of $AgCl$ formed = $0.5453\,g$.
Step 3: In Carius method, halogen is converted completely into silver halide.
Step 4: Molar masses:
\[
AgCl = 143.5\,g/mol,\quad Cl = 35.5\,g/mol
\]
Step 5: Mass of chlorine present:
\[
0.5453 \times \frac{35.5}{143.5}
\]
Step 6: Percentage of chlorine:
\[
%\;Cl=\frac{0.5453}{0.245}\times\frac{35.5}{143.5}\times100
\approx 55.06%
\]
Hence, correct answer is 55.06%.