Thanks, benjaman. You must be from India. As you have seen, RCC means something different in North America.
I am fortunate enough to live in an area of the world where seismic activity is not a major concern, so I am not speaking from experience and claim no expertise in this subject.
I agree with the others that a cantilever is a bad idea, but I do not see the value in allowing movement on one side of the stair either. During a seismic event, it seems me that the edge with the movement would batter the wall. I would be inclined to tie the stair slab to both walls such that they are forced to move in sync.
BA