She met a woman in Uttarakhand's Kathgodam and married her.
In 2016, Sen married a 20-year-old woman from Nainital district's Kaladhungi area and moved to Hardwar with her, police said.
According to BBC, Sen was arrested on Wednesday in the northern state of Uttarakhand for demanding dowry - a practice that is illegal in India since 1961.
Sen lured the woman into her trap by claiming she was the son of a CFL bulb businessman.
Sen reportedly told police she aspired to live a "man's live". Vishwakarma said they are yet to approach her parents, who, he said, had visited the families of both the women Sen married and also attended and organised the weddings.
"Sen had convinced her that she [Sen] was a man", Khanduri said.
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"Although the initial case was related to dowry harassment, we have modified the complaint since the accused was revealed to be a woman after a medical examination and not the husband against whom the complaint was initially made", he said.
Sen married another woman in April 2017, according to the BBC.
It is hard to wrap one's head around several things here, but what comes across clearly is this: a woman had had an unsatisfactory marriage for four years, but not only did she not walk out of it, she continued to indulge her "husband's" demands and got her family to pay him Rs 8 lakh. She took around Rs 8.5 lakh from her wife and used it to set up a factory.
A report in the Hindustan Times says: "Sen told the police during interrogation that she has been a tomboy since childhood and pretended to be a boy".
Another victim Nisha said, "We were married for two years, I found the truth about her later". Khanduri declared that in order to maintain the illusion of being a man, Sen used sex toys in the bedroom. I did not register a complaint.
The police told HT that Krishna (alias Sweety) then started beating her wife and demanded dowry from her. "I don't want to live with her now".
On Wednesday evening, the woman was sent to Haldwani jail. Officers have charged her with fraud, impersonation and forgery.