The girl has said that she was taken to Asaram Bapu's room at Manai ashram on August 15 night for a ritual for which he had wanted the two of them to be alone in the room, police said.
"Terrified by Asaram Bapu's threats, she did not speak about the alleged sexual exploitation immediately, but disclosed the matter to her parents only after they had reached their home at Shahjahanpur (in Uttar Pradesh) two days later.
"(Thereafter), her parents came to meet Asaram Bapu on August 19 when he was in Delhi," DCP Ajay Pal Lamba said referring to the girl's statement.
But since Asaram Bapu refused to meet them, they immediately lodged an FIR with Delhi police who then referred the matter to Jodhpur police.
Having confirmed that both Asaram Bapu and the girl were present at the Manai ashram on the said night, police said that there was substance in the allegations against Asaram Bapu.
"On the basis of the investigation so far, we have arrived at the conclusion that the accusations have substance.
"Now, we have summoned Asaram Bapu to appear before Jodhpur police to present his side of the story," said Lamba.