Design

No good college will give you admission on the basis of class 10th. I would suggest you complete class 12th and then start seeking admission in a college.

You can still prepare for the Masters in fashion designing entrance exam.
NIFT Entrance Exam 2018 Eligibility Criteria for M.Des Programme:
Candidates are eligible to apply for admissions in M.Des programme if they fulfil any of the below-mentioned criteria:
- Have successfully done an undergraduate degree programme from any institute or university that is recognised by the law in India.
-Possess a Diploma or UG in Design from NIFT or NID only.
-Possess an undergraduate Diploma from NIFT or NID of minimum three years duration.

Yes, you can pursue B.Sc in designing based on your class 12th grades. You will have to appear for entrance exams conducted by NIFT or NID and take admission in the same.

Dear Pallavi,
I am not aware what will be the budget for the low fee for you. So, I would suggest you appear for entrance tests conducted by NIFT or NID as their fee is comparatively less.

It's a difficult question to answer, getting a job abroad is not easy, you must check if companies will accept open learning qualifications. Competition is tough. If you get hold of projects abroad and if you manage to do a course abroad, you may have a chance.

It is compulsory to appear for the entrance exam in order to get admission in reputed institutions for fashion designing. e institutions conduct the entrance examinations like NIFT Entrance Examination, NID Entrance Examination, AIEED, Common Entrance Examination for Design (CEED) etc.

Please refer to the link:- https://www.shiksha.com/design/interior-design/colleges/diploma-courses-india

Please refer to the link provided below for a list of colleges and their fee structures for courses in B.Sc. (Fashion Designing). You would be able to navigate to ICAT Chennai using the filters on the web page. I am providing another link where you can download their brochure and get all details like fee structure, eligibility criteria, counselling dates etc.
Link 1: https://www.shiksha.com/design/fashion-design/colleges/b-sc-colleges-india
Link 2: https://www.shiksha.com/college/icat-design-and-media-college-mylapore-chennai-29386