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The accused is Moin Uddin Azad, 42, station master of Rajshahi Railway Station.
The victim filed a case with Boalia Model Police Station on Tuesday night.
The victim alleged that Azad asked her to go to his home on Sunday afternoon to take a book on government service examination.
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Azad raped the woman when she went to his house to bring the book, she said.
Officer-in-Charge of Boalia Police Station Nibaran Chandra Barman said they are trying to track the railway official who has been on the run after the incident.
Bangladesh’s tough anti-rape law
Countrywide mass protests against gang rapes had prompted the government to amend the law to ensure maximum penalty for rape last November. But the tough change has failed to deter the crime.
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Between Oct 13 – when the President promulgated an ordinance on death penalty for rape – and Dec 31 last year, 160 incidents of rape took place, according to Ain O Salish Kendra (ASK).
Last year, 1,627 women became a victim of rape. Fifty-three of them were killed after rape and 14 of the victims took their own lives, ASK said.
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But the actual number is believed to be higher as many victims choose not to report assaults fearing their safety.
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The conviction rate for rape in Bangladesh is below 1 percent, according to the Human Rights Watch.