There are hardly any phones within that price, one can only find the likes of Micromax and Karbonn, but I do not suggest these phone.
The best you can get is probably the Lenovo a369i(I heard the service support of Lenovo is not good). I have a Lenovo A369i and I'm satisfied with the phone. It costs around 5300 now. Downsides are that there is no GPS and the camera is just OKish. Display is non IPS display so viewing angles are not so good. Other than that, the performance and battery life are excellent.
I'll suggest to stretch your budget and go for a Samsung or Nokia or upgrade later when you can stretch. Nokia 520 should be available for a good price now. Good phones which support all apps with decent specs start at around 8k.
Check this review on Lenovo A369i,
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