Ph.D

Yes, you can do PhD in finance from IITD DMS after your M.A economics from IGNOU. You are eligible for this.
Good luck.

No, there are no known colleges that provide the both programmes as an integrated course, one usually completes the Masters and then chooses a prominent institute to finish their Ph.D. The same college may offer both these programs.

Firstly, give the IELTS exam. To get a scholarship, you need to very good in academics and if you want 100% scholarship, you should have a couple of research papers published in famous journals.

First you should have passed your HSC (+2) in a Science Group to pursue a B.Sc - Three Years Duration Course - Depends upon your interest. Then, you will be eligible for an M.Sc - Two Years Duration Course. Then, directly you can pursue a Ph.D (in your relevant Field) - Four Years Duration Course. Best of Luck.

You can pursue M.Sc, Ph.D, Dual Degree Programme from Indian Institute of Technology Bombay (IITB), Powai, and Mumbai. Indian Institutes of Technology conducts a Joint Admission Test for M.Sc (JAM).

You can not go directly for Ph.D. Either you can go after Masters or can go for Masters+ Ph.D.

No, for M.Sc, your graduation marks will matter. Board marks don't matter here. Good luck.

https://studyabroad.shiksha.com/phd-in-education-courses-in-abroad-sl1329
Use the link to know about the college and get more information. Good luck.

You can do at ru.