The in-form Rahul Dravid scored 80 runs before being bowled by Marlon Samuels. Gautam Gambhir made 55 runs before being caught by Carlton Baugh off the bowling of Ravi Rampaul.
Sachin Tendulkar who is on 67 and VVS Laxman who is on 32 will resume play at the crease on Friday morning.
Darren Sammy who took the wicket of Virender Sehwag (37) and Ravi Rampaul who took the wicket of Gautam Gambhir(55) and Marlon Samuels who got the wicket of Rahul Dravid (80) are the only West Indian bowlers who have wickets so far.
Earlier, India went into the lunch break without explosive opener Virender Sehwag with the score on 74-1
West Indies seamer Darren Sammy provided the breakthrough in his third over when he bowled Sehwag (37) with a delivery that cut in to surprise the batsman on an easy-paced track at the Wankhede Stadium in Mumbai.
Sehwag, who added 67 runs for the opening wicket with Gambhir, played some attractive shots during his cameo as he lofted Sammy over the covers for a six in the bowler's opening over. He also hit three fours in his 50-ball knock.
The West Indies earlier added 15 runs off 3.1 overs to their overnight total of 575-9 before off-spinner Ravichandran Ashwin bowled Devendra Bishoo (12) to finish with 5-156 for his second five-wicket haul in the debut Test series.
Debutant paceman Varun Aaron claimed three wickets, while paceman Ishant Sharma and left-arm spinner Pragyan Ojha took one wicket each.
Darren Bravo top-scored for the West Indies with 166, while Kirk Edwards (86), Kieran Powell (81), Kraigg Brathwaite (68), Adrian Barath (62) and Marlon Samuels (61) made half-centuries.
India lead 2-0 in the series after winning the opening test in New Delhi by five wickets and the second match in Kolkata by an innings and 15 runs.