If it's out of your budget, it's out of your budget. Guidelines which say EMI shud be x% of Income are important. Your will be spending 2Cr + 2.6Cr Interest ~ 4.5Cr on the 3BHK total cost. That is 4.5Cr diverted from your lifestyle, your children's education, your and your parents Healthcare, your comfort etc.
Additionally, the 2Cr quoted price is what the builder quotes along with his 30-60% markup. It's not something you will receive if you want to sell the flat. Buying in Bangalore outskirts has additional problems like bad infra, bad water etc.
But despite all this, if you still want to have your 3BHK, it's your choice, it's your sacrifice.