Hello Ritesh,

Yes you can go pursue Hotel Management after you have complete your graduation in arts. There are several good government colleges for pursuing your hotel Management.-

• Institute of Hotel Management, Mumbai
• Institute of Hotel Management,  Delhi
• Institute of Hotel Management, Bangalore
• Institute of Hotel Management, Catering Technology and Applied Nutrition,  Hyderabad

And many more good colleges are there.

Not all Colleges provide MBA at high fees, there are certain colleges that provide MBA at reasonable fees.

Indian Maritime University, Chennai

• Faculty of Management Studies
• Department of Management Studies
• Jamnalal Bajaj Institute of Management Studies
• Christ University,  Bangalore

So you can opt for MBA in these colleges

I hope it helps and best of luck

Thank you