learning (c++,c sharp,& c) in India vs masters in econometrics in the UK

Go for the masters.

If you're really interested in the C++, C sharp and C you can pick that up along the way through self learning.

Your masters generally opens doors for you ,

I wish you the best.
Go.

Guy, sorry to say this, but programmers seem to be a dime a dozen these days,
Go to freelance sites, and see the amount of coders there, bidding for jobs, at dirt cheap prices from all over the world
You need an edge to set you apart,
Go for the masters, and I agree with genghis, if you want to learn C/C++, C#, you can always pick it up from a book
or from some tutorial website.
Wishing you the best!