India's attitude to dual nationality is well known - so far as full Indian citizenship is concerned, anyway. When an adult acquires the passport of another country, he/she ceases automatically to be a citizen of India - whether the Indian government knows about it or not.
I'm sure there are people out there carrying both passports but, IMO, they are committing an offence by carrying an Indian passport to which they know they are not entitled. And if they renew it after losing Indian citizenship, they are presumably committing another offence, by making a declaration on the application form to the effect that they have no other citizenship/passport.
I guess that it is because of this that Overseas Citizenship of India was created - not really a citizenship at all, IMO, bearing in mind that there is no such thing as an OCI passport, and the status manifests itself only as an endorsement in the passport of another country. But it is the nearest thing to dual nationality that the Indian government will tolerate.