Concept:
Mural sites are identified by their religious or thematic content.
Ajanta is Buddhist, Sittanavasal is Jain, Tanjore is Hindu, and Hindi Bhavan is associated with Binode Bihari Mukherjee's medieval saints mural.
Step 1: Match Sittanavasal.
Sittanavasal is famous for Jain murals.
So:
\[
A \rightarrow III
\]
Step 2: Match Hindi Bhavan.
Hindi Bhavan is associated with the medieval saints mural.
So:
\[
B \rightarrow IV
\]
Step 3: Match Ajanta Caves.
Ajanta murals show Buddhist themes and Jataka stories.
So:
\[
C \rightarrow I
\]
Step 4: Match Tanjore Temple.
Tanjore temple murals are connected with Hindu themes.
So:
\[
D \rightarrow II
\]
Step 5: Final matching.
The correct matching is:
\[
A-III,\ B-IV,\ C-I,\ D-II
\]
Hence:
\[
\boxed{\text{(D)}}
\]