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A woman in India was set on fire by two men just days after she lodged a complaint with police against them.

The 20-year-old woman from northern India accused the two men of trying to molest her, police and her family said.

Women in India have struggled to secure prosecution for sexual attacks in the face of widespread police indifference, rights activists say.

The woman was in a field near her home in the Sitapur district of Uttar Pradesh state when the men, both neighbours and known to her family, accosted her and tried to drag her away, her brother Vinod Kumar told Reuters.

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She bit their hands and managed to break free and escape, and her father filed a complaint with police same day, he said.

When no action resulted, the family lodged a second complaint.

"We waited for the police to come for inquiries the entire day but no one came,'' Vinod said.

The next day, the two men returned to the field where she was working, doused her with kerosene and set her on fire, Regional police superintendent Prabhakar Chaudhary told Reuters.

She suffered burns to 40 percent of her body and was hospitalised.

Chaudhary said her suspected attackers were arrested and three policemen suspended for dereliction of duties.

After a gruesome gang rape of a young woman in 2012, India launched fast-track courts and a tougher rape law that included the death penalty.

But crime statistics indicate sexual assault on women have risen, not fallen, since then.

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Even if cases are registered, crime statistics show that police files remain open for about a third of all rapes that were investigated for each year between 2012 and 2016.

Rights groups have accused Indian police of bowing to pressure from local politicians to bury investigations.

In some cases investigations of sexual assault have evaporated out of sheer police apathy, activists say.