England's win was even more remarkable because they appeared to have blown their chances of success with a spectacular batting collapse.
After opener Mark Stoneman blazed 64 from only 53 balls to take them to 113-1, England subsided to 186 all out with 6.2 overs unused.
Six Indian bowlers enjoyed success with Bandekar the most successful of them with 3-36.
Mark Nelson had helped England to their final score thanks to an aggressive 34 and he then became the star with the ball as India were skittled out for just 158.
Nelson removed Gaurav Dhiman, so prolific in last November's Afro-Asian U-19 Cup, with the first ball of the innings and finished with 3-37.
Spinner Nick James, who was England's super sub, weighed in with 3-20 and for India only Rohit Sharma, with an aggressive 34 from just 22 balls reached 30.