Concept:
India has a rich variety of folk theatre and folk performance traditions, each associated with specific regions and states. These forms reflect local culture, language, mythology, and social traditions.
Step 1: Match Jatra with its state.
\[
\text{Jatra}
\]
is a popular folk theatre tradition of:
\[
\text{West Bengal}
\]
Thus:
\[
A \rightarrow IV
\]
Step 2: Match Pandavani with its state.
\[
\text{Pandavani}
\]
is a narrative folk singing tradition associated with:
\[
\text{Chhattisgarh}
\]
Thus:
\[
B \rightarrow I
\]
Step 3: Match Dashavataar with its state.
\[
\text{Dashavataar}
\]
is a folk theatre form popular in:
\[
\text{Maharashtra}
\]
Thus:
\[
C \rightarrow II
\]
Step 4: Match Bhand Pather with its state.
\[
\text{Bhand Pather}
\]
is a traditional folk theatre form of:
\[
\text{Kashmir}
\]
Thus:
\[
D \rightarrow III
\]
Step 5: Write the final matching sequence.
The correct matching is:
\[
A\text{-}IV,\ B\text{-}I,\ C\text{-}II,\ D\text{-}III
\]
Step 6: Compare with the given options.
Among the given choices:
\[
(A)\ A\text{-}II,\ B\text{-}III,\ C\text{-}I,\ D\text{-}IV
\]
\[
(B)\ A\text{-}I,\ B\text{-}II,\ C\text{-}IV,\ D\text{-}III
\]
\[
(C)\ A\text{-}III,\ B\text{-}IV,\ C\text{-}I,\ D\text{-}II
\]
\[
(D)\ A\text{-}IV,\ B\text{-}I,\ C\text{-}II,\ D\text{-}III
\]
the correct answer is:
\[
\boxed{A\text{-}IV,\ B\text{-}I,\ C\text{-}II,\ D\text{-}III}
\]
Hence:
\[
\boxed{\mathrm{(D)}}
\]