England, who were shot out for a measly 147 in the first innings, still needed 127 runs in their second innings to avert an innings defeat.
England began their second essay on a disastrous note losing wickets at regular intervals before captain Steven Davis bailed them out of further crisis authoring a plucky 66 to lend some respectability to the innings.
At stumps, Moen Ali on 36 and Harrison on 2 were at the crease.
Resuming at the overnight score of 337 for five, Indians carried on the run feast thanks to some splendid batting from skipper Ambati Rayudu and Jain.
The dapper Rayudu, slammed 86 off 92 balls, with hits to the fence and two sixes. Rayudu fell to Stokes at the team score of 350. Jain scored a fine 54, while Dhiman scored a masterly 41 off 46 balls with eight boundaries.
Harmison was the best of the English bowlers claiming four for 58.