Yes you can apply for BA in eco. Make sure you had maths in your 12th rest you will have various scope ahead.
Interest is must. You cannot mug up and proceed, there will be things for which you will have to have your basics clear.
With BA in eco degree,
The career prospects for economics graduates are many. Numerous fields are waiting for economic graduates both in the public as well as the private sectors. In the government sector, one may try for Indian Economic Services, jobs in Reserve Bank of India, PSUs and other public sector banks.
Job opportunities are also waiting in the private sectors, NGOs and International Aid Agencies. The firms like World Bank, Asian Development Bank, IMF, and other Development Banks, Aid agencies, Financial Consultancy firms are hiring the economic graduates for its various positions.

There is no limit to this domain.
All the best.