I had the same problem nearly 3 years ago when we came to Perth.
I even argued with one of the house agents, and made both of us really unhappy.
(I was really fed up with the lady, I said i have already given whatever i have including income statement, HR letter from company, references from previous house owner AND what the hell you still expecting from me? She turned away from me with a long cold face, I nearly pissed her off!)