According to the woman, who is a school teacher in Raipur, the accused had married her in 2011, while keeping her in dark about the status of his earlier marriage.
He had told her that he had taken divorce from the first wife and then got married with the complainant, who later came to know that Majumdar had not taken divorce, the SP said.
"A case has been registered against Majumdar under sections 376 (rape), 419 (cheating by personation), 496 (marrying fraudulently) and 498 (A) (subjecting wife to cruelty)," the SP said.
Majumdar is currently posted at Mussorie in Uttarakhand.
Further probe is on and suitable action will be taken in this connection, the SP added.