England went 4-0 down in the one-day series in India as half-centuries from Middle order bats men Virat Kohli and Suresh Raina guided India to an emphatic six-wicket win.
England captain Cook won the toss and elected to bat and they started first two overs with no runs.
England were all out for 220 in 46.1 overs and England had been under pressure from the start, losing their openers early on - both lbw - in successive balls.
England's middle-order again suffered against spin on a slow, turning track and three of them lost their wickets from miscued sweep shots.
Tim Bresnan top-scored with a gutsy run-a-ball 45 before becoming debutant paceman Varun Aaron's third victim.
India were 46-3, but Indian Middle order bats men Kohli (86 not out) and Raina (80) built a 131-run stand to help them win with 59 balls left.
Kohli and captain Mahendra Dhoni then teamed up to finish the job under minimal pressure, leaving India with the chance of securing a 5-0 whitewash in the final match of the series on Tuesday.