India win by six wickets against Australia in the first ODI match.
India defeated Australia by six wickets in the first One-Day International of a five-match series at Hyderabad's Rajiv Gandhi International Stadium and take a 1-0 lead.
India had restricted Australia to a modest 236 for seven after the visitors opted to bat.
Virat Kohli-led team returned to overhaul the target with 10 balls to spare, scoring 240-4 in 48.2 overs.
India rode on an unbeaten 141-run stand between Jadhav and Mahendra Singh Dhoni, who made 59, to achieve the target in 48.2 overs and lead the five-match series 1-0.
For his brilliant innings, Jadhav was given Man of the Match award.
For Australia, fast bowler Nathan Coulter-Nile and leg-spinner Adam Zampa took two wickets each.
Zampa got skipper Virat Kohli's prized scalp for 44.
Earlier, Australia's batsmen could not really rotate the strike and were restricted to 236-7 by India's disciplined bowling attack.
Mohammed Shami began with a maiden before Jasprit Bumrah struck with his third delivery to prolong Finch's slump in form.
Bumrah's good length ball kissed the shoulder of Finch's tentative bat and nestled into Dhoni's gloves as the opener perished for a duck.
Usman Khawaja and Marcus Stoinis shared an 87-run stand to help Australia overcome the loss of their captain.
Part-time spinner Jadhav dismissed Stoinis for 37 but Khawaja made a fluent 50 before Kuldeep Yadav sent him back.
Glen Maxwell made 40 before losing his off-stump to Shami.
Wicketkeeper Alex Carey made 36 not out, adding 62 runs with Nathan Coulter-Nile (28).
India lost opener Shikhar Dhawan for a golden duck in the second over of their innings, but Kohli and Rohit Sharma played with characteristic ease before Australia prized out three wickets to roar back into the match.
Kohli, who added 76 runs with Rohit, raced to a run-a-ball 44 before being foxed by an Adam Zampa delivery that beat his bat and rapped him on the pad.
Australia decided to review the original not-out decision and were rewarded with the prized wicket of Kohli.
Rohit's departure for 37 compounded India's problems but Dhoni and Jadhav batted sensibly and did not panic even when the asking run rate climbed above six an over.
Dhoni sealed the victory with his sixth boundary off Stoinis.
The teams move to Nagpur for the second match of the five-game series on Tuesday.
Australia: 236 for 7 in 50 overs (Usman Khawaja 50, Glenn Maxwell 40; Mohammed Shami 2/44).
India: 240-4 in 48.2 overs (MS Dhoni 59, Kedar Jadhav 81; Nathan Coulter-Nile 2/35).