A 16-year-old Indian girl has attempted suicide by setting herself on fire after allegedly being raped by a neighbour in northern India.

It follows the gang rape of a 23-year-old woman in the Indian capital, New Delhi, on December 16, which sparked widespread outrage and demands for tighter laws against the sexual abuse of women.

The teen suffered burns covering more than 90 per cent of her body and is in critical condition in hospital.

The girl's family allege she was lured by a neighbour into his car and raped, in the northern state of Haryana.

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The alleged offender has been arrested.

AAP