Electing to bat, Australia rode on half centuries by skipper Steve Smith (55), opener David Warner (64), Travis Head (65) and Marcus Stoinis (76) to post a mammoth 347/7 before bundling the hosts out for a meagre 244.
Australia started with a 105-run second wicket stand between Warner and Smith before Stoinis and Head added 88 runs for the fifth wicket to leave the inexperienced home bowlers high and dry.
Thereafter, wicketkeeper-batsman Matthew Wade (45) and Stoinis joined forces to add another 85 runs for the sixth wicket as Australia looked set for a massive score.
For the hosts, medium pacer Kushang Patel and off-spinner Washington Sundar picked two wickets apiece while Akshay Karnewar, Avesh Khan and Kulwant Khejroliya took one wicket each.
In reply, the Gurkeerat Singh-led side started well with opener Shreevats Goswami (43) and one-down Mayank Agarwal (42) putting on a 79-run second wicket stand after the early loss of Rahul Tripathi (7).
But things went awry for the hosts after the introduction of spin with left-arm spinner Ashton Agar (4/44) and leggie Adam Zampa (1/59) ripping through the home line-up.
Towards the end, Maharashtra left-arm spinner Karnewar blasted a fiery 28-ball 40 and Kushang had an unbeaten 48-ball 41 to put up a 66-run ninth wicket stand, but the target looked improbable once Karnewar fell to all-rounder James Faulkner.
Australia will now face India in five One-day Internationals (ODI) and three T20 Internationals, starting with the first 50-over clash here on September 17.
Brief Scores: Australia 347/7 (Marcus Stoinis 76, Travis Head 65, David Warner 64, Steve Smith 55, Washington Sundar 2/23) beat Board President's XI 244 (Shreevats Goswami 43, Mayank Agarwal 42, Kushang Patel 41 not out, Ashton Agar 4/44) by 103 runs.
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