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You should definitely go for further studies after the B.Sc. In India, the job scope for Bachelor's degree course is getting thin by the day. Companies are now demanding post-graduate students. The only exception here is engineering students. After B.Sc in non medical, you are presented with some good options. Here are few options I would recommend to you.
MBA
Masters in Business Administration is the first option in front of you. It is a 2 year long postgraduate course after which you will be able to apply for jobs in management, accounting, finance and marketing related fields. To get admission in an MBA college, you would have to appear for one of the entrance exams.
CAT-Common Admission Test is a widely known entrance exam for the MBA aspirants. The CAT score is accepted in some of the best institutes in India like the IIMs, which are regarded as top B-Schools in India. The eligibility for CAT is that you need to score at least 50 percent marks in the B.Sc course. If you belong to SC/ST then you need at least 45 percent marks.
MAT-Management Aptitude Test (MAT) is another great option for the MBA aspirants. Unlike the CAT, Management Aptitude Test does not have any percentage requirement making it more attractive to students with low percentages. MAT takes place 4 times a year in India.
B.Tech
Engineering is another great course you after completing the B.Sc course. These days AICTE allows B.Sc students a lateral entry in the engineering college. What lateral entry means is that you will get admission in the second year of the engineering course, whichever you may choose. Most institutes in India reserve some seats for the lateral entry candidates. It ranges from 5 percent to 10 percent.
Eligibility:
You must complete your B.Sc from a recognised university in India.
B.Sc non medical candidates are required to score at least 60 percent marks in B.Sc.
SC/ST candidates requires 55 percent marks.
Your age should not be more than 28 years.
M.Sc
Another good option for you is M.Sc course. Once you complete your postgraduate course, apply for entrance exams like NET and SET. If you scored well in these exams, you will get lecturer job in reputed college in India. If you are interested in teaching field then I must suggest you to do M.Sc course.

B.Sc, BHM, BA and BBA these are the four different degrees that you might get after graduating from a hotel school. There is no such difference between B.Sc and BHM. Literally, there is no difference but there are some colleges which provide Bachelor of hospitality and tourism, so here they focus on tourism subject at a great extent. In BA, you will be learning the same but when talking about BBA in hospitality then some colleges have majors and minors like finance, business management and retail. So if a student is doing BBA in hospitality, then it would be considered of a larger extent and the chances of employment would be certainly higher. In India, I know it's not that famous but if you want to prove me wrong then just research about some European hotel schools, they prefer BBA over B.Sc.