Step 1: Define Mukhiya role.
A Mukhiya is the elected head of a Gram Panchayat, responsible for village governance, development planning, and implementation of government schemes.
Step 2: Honorarium.
To compensate for responsibilities and motivate local leadership, the government fixes an honorarium of Rs. 5,000 per month.
Step 3: Conclude.
\[
\boxed{\text{Rs. 5,000 (Option C) is the fixed honorarium.}}
\]