In order to pursue a career in astrophysics you need to complete you bachelors in physics and then you can team it up with a masters in astrophysics.
You can log on to http://www.youngbuzz.com/careers/career-options and check the section on physical sciences in order to knowmore about the careers in physics.
Once you have completed all your studies, you can get jobs with top firms within India or overseas. You can also look forward for a job as Research Scientists with Institutions involved in Research. Jobs are available for astrophysicists with organizations such as:
Aryabhata Research Institute of Observational Sciences (ARIES), Nainital
Indian Institute of Astrophysics (IIA), Bangalore
Indian Space Research Organization (ISRO)
Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune
National Centre for Radio Astrophysics, TIFR (Pune)
Physical Research Laboratory, Ahmedabad
Raman Research Institute (RRI), Bangalore
Space Science Centre, ISRO, Thiruvananthapuram
Tata Institute of Fundamental Research (TIFR), Mumbai
It is also possible for you to get jobs with organizations such as the Bangalore Amateur Astronomers (ABAA). The best thing about a career in astrophysics is that you will get the opportunity to travel to distant places and take part in international seminars as well as conventions.
Hope this helps.