If you are specifically looking for a 4G enabled handset here is a good option, the LG F70 with qualcomm snapdragon quad core processor for a price of under Rs. 20,000 (Rs. 18,499 to be precise).
F70 runs android kitkat (Android 4.4.x) out of the box and as mentioned it is using the snapdragon 400 quad core processor MSM8926 clocked at 1.2GHz with Adreno 305 GPU. This is a single SIM (Micro SIM) handset that weighs 129 grams and is 9.5mm thick.
The LG F70 comes with an IPS touch screen display of 4.5 inches supporting 800 x 480 pixels resolution. The resolution could have been better. On-board you will find 1GB RAM, 4GB storage and 32GB external card support plus 50GB access to cloud storage.
Also packed are dual cameras, a 5MP CMOS auto focusing camera with LED on the rear and 0.3MP fixed focus on the front. 1080p videos at 30fps can be shot using the primary camera. Key features are 4G (LTE), 3G, 2G, Wi-Fi, GPS (A-GPS), Bluetooth 4.0 and even NFC.
LG F70 comes with a 2440 mAh battery and now available in White and Black colour option on Infibeam for Rs. 18,499.