There are number of universities offering a Bachelors in Music in Hindustani classical asd Carnatic Classical. A few of them are

1. Banaras Hindu University has a Faculty of Performing Arts with depts in Vocal Music, Instrumental, Dance and Musicology.
2. Bhartiar Palkalaikoodam, Bhartiar Center for Performing and Visual Arts offers a three year degree in Vocal, Veena, Mridangam and Violin.
3. Banasthali University, offers BA, MA, M.Phil in Music and Dance.
4. Andhra University offers a 2 year diploma in Music

If you can specify which place/city you are looking at, will be able to give you more details