After First Round, every eliminated participant is replaced by Eklavya Gharana. It means contestants of Eklavya Gharana get direct entry into the Second Round. When we are talking about Sumedha, she was selected by Bappida in Delhi audition but she couldn't make it to get the place in Josh Gharana. So she became part of Eklavya Gharana and was preparing herself. After First Round when Koyal Chaterjee from Josh Gharana got eliminated, Sumedha had replaced her. And now, with just a single performance on 1st June's episode, she gets direct entry into the Final Round.
On the other hand, for example, Amant Ali - one of the best contestants of saregamapa, now he has to perform in couple of more rounds to get the place in Final Round.
I don't know how the Sa Re Ga Ma Pa producer explains the logic behind this short cut entry?
Source : Saregamapashow.com