They have given that probability of choosing car which is 0.45.
And hence probability of choosing public transport=1 -0.45=0.55 which is going to be distributed among Bus and metro.
They have given that out of 0.55, probability of choosing bus = 0.55 * 0.55 = 0.3025=0.30(Approx)
So , probability of choosing metro will be=0.55 * 0.45 =0.2475= 0.25 (Approx)
I think Option A will be Correct.