“We haven’t won here for a couple of years now. Nice for a younger group to see that you can challenge some of the best in the world.”
Mitchell walked in to bat with New Zealand on 46-2 and with Young helped the Black Caps take control.
Young fell to Kuldeep Yadav in the 38th over but Mitchell stood firm to bring up his hundred.
He hit 11 fours and two sixes in his 117-ball innings and with Glenn Phillips, who made 32 not out, put together an unbeaten stand of 78.
Indian bowlers enjoyed early success when Harshit Rana bowled Devon Conway, who made 16, and fellow quick Prasidh Krishna had Henry Nicholls inside-edge a delivery on to his stumps for 10.
But Mitchell, who was dropped on 80, and Young struck regular boundaries as New Zealand completed their highest-ever ODI chase in India.
India captain Shubman Gill rued the team’s fielding lapses, saying, “Even in the last match, we let down a couple of chances. If you don’t take your chances, in this format, it always makes you lose”.
Earlier, Gill made 56 before a brief collapse and a 73-run fifth-wicket partnership between Rahul and Ravindra Jadeja.
Rahul raised his eighth ODI ton in 87 balls with a six off Kyle Jamieson.
India started strongly courtesy of Gill and Rohit Sharma, who scored 24, as the opening pair put on 70 runs.
Rohit failed to capitalise on his start and fell to Kristian Clarke, before pace spearhead Jamieson sent back Gill.
Clarke kept up the charge with his medium-pace bowling to dismiss Shreyas Iyer for eight and the in-form Virat Kohli for 23.
The 37-year-old Kohli, who returned to the top of the ODI batting rankings on Wednesday, walked back to stunned silence after he played on as India slipped from 99-1 to 118-4.
Rahul then took centre stage to rebuild the innings with Jadeja, who made 27.
The series will be followed by five T20s, before the T20 World Cup in India and Sri Lanka between February 7 and March 8.
