The accused Varun Goyal (28), who runs a gym in Ghaziabad, has been arrested.
Varun had heated arguments with the woman, a divorcee, as she was apparently pressurising him for marriage.
SHO Dinesh Yadav said Varun stabbed her 32 times with a kitchen knife. The neighbours heard her screams of help and informed police. The police team found the woman in a pool of blood and rushed her to a Noida hospital from where she was rushed to LNJP in New Delhi in a critical condition.
The woman's home town is in Gorakhpur and she works in private company at sector 63. She was earlier living with her brother in Indirapuram. She befriended Varun in the gym and thereafter shifted to the Noida sector 73 house.
An attempt to murder case has been filed against Varun on the basis of a complaint of the woman's brother.