The incident took place yesterday when Rashida was at her house following which the miscreants opened fire and pelted stones at her, they said.
Mohd Hasan, the girl's father, has lodged a complaint and alleged that the miscreants came and attacked his house following which his daughter sustained bullet injuries.
Police has registered a case against four persons Pervaiz, Adil, Ikram and Guddu who are absconding, Station House Officer Rohtash Singh said.
Its is suspected that the accused attacked the house of the Mohd Hasan over an old enmity, police said, adding that the seriously injured girl has been shifted to a hospital.