The girl was sleeping on the terrace of her house at Mahmudpur village under Gunnaur police station area when the accused raped her and set her on fire by pouring kerosene, leading to her death, police station in-charge of Gunnaur, Rakesh Babu Yadav said.
On the complaint of the girl's father, a case was lodged against accused Sher Singh and he has been arrested, Yadav said.
The body has been sent for post-mortem and investigations are on, Yadav added.