I hope you're well, gauravkothari23,
With all due respect, don't you think it's trying to put a size 5 right shoe on a size 7 left foot with this idea?
I thought you used MCs - wouldn't that make the idea of the four LEDs doing something at each stage of charging easier?
Why not rethink the basic idea, accept that as with all circuits you may have to make disappointing compromises here and there, and start with a different type of battery charger IC which you can get where you live, maybe looking for one that senses current and voltage (are they the "fuel gauge" type?)? And then, as an admittedly not-very-thought-out example at all, to say the least, use something like the LM3914 and a quad timer (I bet the 558 is available if nothing better) or whatever to have the LED's flash, using output 5 of the LM3914 to turn on all LEDs. ...Or any combination of easily available ICs to measure and convert to a logic output, a quad op amp and a quad logic device.
It's a poor idea, and not what you want, but just to take the conversation away from an unproductive thread and to suggest looking at the problem from a different angle...