Whatever has happened in terms of people coming back to Bangalore to join jobs, there isn't such a large exodus back that there is so much demand. In fact a lot of office complex buildings have very large vacancies. Accenture for eg. has vacated ⅔ of it's rented space permanently. You definitely have more supply of houses than before COVID, and less people than before COVID. And no, even 10% inflation does not explain a 2x rent.
There is a very large amount of FOMO built up by people who are vested in this - unscrupulous brokers, greedy landlords. These rents are unsustainable, and few things will happen:
1. People will just move away, or to non-gated living, or outskirts
2. Houses will be empty, despite whatever you might hear, there is a glut of housing across Bangalore (and India)
I know these things are easy to say, and in an environment of fear mongering, reality and sense don't matter, but here are a few suggestions:
1. Take a coliving/serviced apartment over 6-12 months. If you are going to pay a premium, get something for it. These places are not inflated randomly like individual apartments.
2. Put more legwork. When we rented, we first spent a day just going around in a cab, doing area recon over the entire region (Mahadevapura), we went to every society and asked the guards for contacts and what was going on. There are empty flats everywhere, and everywhere brokers told us it was all full. In my building there are 9 empty flats out of some 40, but ask anybody and they will tell you it's all full and rents are insane.
3. Engage with a good broker, they are rare and generally organised. You will not find them online, you will find them among the ones that the guards tell you to contact. They are the ones who generally build relationships with many owners. Although I still think they should be compensated differently, they are worth it.
If you can do 1 or just stay further away, or outside Bangalore for sometime, then this too shall pass.