Yesterday morning when I tried to start the car, it wasn't fully cranking (Android screen was on). Turned the key off /on and again tried but same result. Now, switched off the android screen and tried again and this time the engine started. (I never use to pump the accelerator whenever tries to start the engine and same way I started the engine yesterday).
From this, I think you need to evaluate the wiring connection made for the android screen. It looks to be drawing power from the battery when the engine is off (I may be wrong too sir).
After seeing google search replies, I checked the battery using the multimeter and the reading shown as 12.4 when the engine was off. I think this reading looks good, but I am not happy with what happened yesterday.
After the engine has started, connect the multimeter again to the battery terminals and check the voltage - it should be around 14.1 to 14.4V. This will ascertain if the charging circuit is okay or not.
In view of this situation, I am seriously thinking to change the battery and checked the Batterybhai.com who suggests below models for the Tata Tigor Petorl variant
Tata Green DIN44R-PR2424 (44Ah) - Rs.5100/-
Exide FMLO-MLDIN44R (44Ah) - Rs.4700/-
SF Sonic F4WO-HX-DIN47RMF (47Ah) - Rs.4300/-
Amaron AAM-FL-550113042R (50Ah) - Rs.4700/-
Tata Green DIN44R-PR2424 (44Ah) - Rs.5100/-
Exide FMLO-MLDIN44R (44Ah) - Rs.4700/-
SF Sonic F4WO-HX-DIN47RMF (47Ah) - Rs.4300/-
Amaron AAM-FL-550113042R (50Ah) - Rs.4700/-
I'll suggest Amaron over anything else.
Did not check the price with any local battery store yet.