Set an improbable target of 489 after the home side declared their second innings at 269-4, the tourists crashed from 158-2 to be dismissed for 192 just before a shower swept across the ground.
Opening batsman Tamim Iqbal (64) and Mominul Haque (56) held up the West Indies for over three hours with a second-wicket partnership of 110, but when Tamim skied an attempted sweep off Benn to midwicket, it was the trigger for the collapse.
It was completed when Kemar Roach breached the defence of Shafiul Islam to set off the West Indies victory celebrations in their 500th Test and a 2-0 sweep of the series.
"This is unbelievable," said an overjoyed Ramdin, who waited until senior batsman Shivnarine Chanderpaul completed his 30th Test hundred in the morning before declaring.
"It's a wonderful feeling, but we know that there are greater challenges ahead."
Chanderpaul back at number three
Man-of-the-match Chanderpaul returned to third place in Test batsmen’s rankings, according to an official International Cricket Council press release. On the other hand, Bangladesh’s Iqbal vaulted seven places to 37th position and teammate Mahmudullah soared nine places to 71.
In Test bowlers’ rankings, Roach gained one more place following his six wickets in the second Test and is now on a career-high ninth position.
Benn moved up three places to a career-best 21st spot, while Taylor is the biggest mover in the latest rankings — gaining 12 places to claim the 40th position.
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