B.Sc

Nursing is a 2 year professional nursing course aimed for registered nurses who want to become competent in the standard nursing procedures followed in hospitals and medical facilities. The average cost of studying Post Basic BSc Nursing in India ranges from INR 20,000-1,00,000.

The annual fees at Cheran College of Nursing for B.Sc. in Nursing is INR 30,000/-

There are many government college for B.Sc. Nursing in Maharashtra and some of the top colleges I mentioned here. You can join any college according to your wish and convenience.
Armed Forces Medical College - AFMC
Government Medical College Nagpur - GMC
Grant Government Medical College - GMC
Indira Gandhi Government Medical College and Hospital - IGGMCH
Krishna Institute of Medical Sciences
Shivaji University
Shreemati Nathibai Damodar Thackersey Women's University - SNDT Women's University ChurchgateShreemati Nathibai Damodar Thackersey Women University - SNDT Women's University Juhu Campus.

Yes, NIOS is valid for admission into colleges, but one need to check the regulation of particular university in this regard.

The fee structure at Khalsa College of Nursing for B.Sc. in Nursing (Post Basic) is:
Fees structure - 35,000 INR + 18,000 INR per year as a hostel charges. (10,000rs deposited as security)

95-97% marks must need for admission

The fees for BSc nursing in this college is same as the other college that is INR 1.5 lakhs per academic year, this will not include your hostel and mess charges.

The fee at Suruchi Institute of Nursing for B.Sc. in Nursing is INR 1.5 lakhs per academic calendar.

The fee structure at Vivekanandha Arts and Science College for Women for B.Sc. in Textile and Fashion Designing is approximately INR 1,00,000 per year.

Since your sister has completed B.Sc. from a very recognised university that is Kannur University, she can definitely apply in M.Sc. Chemistry in memo college under Calicut University.