United Crossandra by Akshaya Developers, SVS Windgates by SVS Constructions, Fortuna Krrish by Fortuna Constructions, Definer Hi Life by Definer Group, JRK Gardens by Virani Buildrers & Developers and Greens Cassia Court by Greens Projects are some of the projects in Banaswadi that comes in the price range quoted by you.
SBI, LIC, Axis are tied up with this project and yes it is a BBMP approved project. They are providing A Khata for this project. The project offers 20 flats with a combination of 2 and 3 bhk apartments. It is a G+3 floors structure.
Jayalakshmi Residency is one of the ongoing project by Jayalakshmi Builders in Banaswadi. The project is expected to get completed by 2014 end and the current rate per sqft going on is Rs 4500.