Tuipulotu's score helped give Scotland a narrow 7-3 lead at the break but second-half tries from Duhan van der Merwe, Josh Bayliss and Finn Russell put the result beyond doubt.
By contrast, Australia could only manage two Noah Lolesio penalties and debutant Harry Potter's converted try in reply.
The Wallabies came into this match following a last-gasp 42-37 win over England at Twickenham and a 52-20 rout of Wales earlier this month.
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