In restricting the hosts to 124 for nine in reply to their total of 135 for seven, the tourists took the series 2-0 and moved up to second in the international rankings behind Sri Lanka.
West Indies, the world T20 champions, dropped to fourth in what was yet another setback following hard on the heels of the 3-1 loss to the Pakistanis in the preceding one-day international series.
Photos: Kareena Kapoor Khan and Aamir Khan at Mumbai airport
Photos: SRK, wife Gauri, Aishwarya Rai, Shweta Bachchan at Vogue Awards
Photos: Harbhajan Singh-Geeta Basra's TV outing with daughter Hinaya
Photos: Malaika Arora flaunts ripped jeans like a boss!
Photos: Vaani Kapoor, Kriti Sanon, Dia Mirza sizzle on the ramp