Kohli's men made a winning start to the ODI series, too, with Kohli striking 21 fours and two sixes and Rohit nailing eight sixes and 15 fours - Rohit's final maximum, off Hemraj, cementing a crushing victory and taking him to his sixth score of 150 or better in ODIs.
Virat Kohli won the toss and chose to bowl first in this day-night encounter in Guwahati's new Barsapara Cricket Stadium.
Chandrapaul Hemraj Marlon Samuels were the only disappointments for West Indies as all other batters contributed and helped their team to get past the 300 run mark in their allotted 50 overs.
In reply, India lost opener Shikhar Dhawan in just the second over of the innings after he was bowled by debutant fast bowler Oshane Thomas. After Kohli was stumped off leg-spinner Devendra Bishoo, India's vice captain took the side home in company of Ambati Rayudu (22). The second one-dayer will be played in Visakhapatnam on the 24th of this month.
Kohli, who scored a hundred off 88 balls on Sunday, reached the milestone of 36 ODI centuries in just 204 innings, while Indian legend Tendulkar had taken 311 innings to get there.
Earlier, a brilliant century by Shimron Hetmyer (106) and some useful contributions from Devendra Bishoo and Kemar Roach towards the end helped West Indies post 322/8 against India. Hetmyer then arrived in the middle and stitched crucial partnerships with Rovman Powell and Jason Holder (38) before getting out in the 39th over.
While Yuzvendra Chahal, Kuldeep Yadav and Ravindra Jadeja offer India with three spin-bowling options, Khaleel Ahmed, Mohammed Shami and Umesh Yadav offer pace-bowling options to Kohli.
For India Chahal took three wickets, while Shami and Jadeja took two wickets each.