If you were to stay for a few months in India and rent a small apartment where you can cook your own food, will you find places where you can find Western ingredients?
I am sure there are a lot of expats living in India, so there definitely must be certain supermarkets that sell imported products.You just need to look for them.
I think it depends on which part of India you are planning to go to. However, I am pretty sure that you can find all types of ingredients at the right store.