Absolutely no way of knowing as all owners are different. If they were sensible, they would talk to you if they weren't happy with that but not everyone is sensible and you can't control whether someone else puts in an offer. Personally, if I liked it and had such limited time to find somewhere, I would play it safe and offer the full amount. But that's just me, I don't like to live on the edge when it comes to housing.

Having said all that, having been a landlady myself I know the power of finding a renter and having that rent going into paying off the mortgage. I also once got a friend to offer $400 (which was the max they could pay) for a house advertised at $490 per week. The real estate agent almost didn't even take their application but I forced them to go back and submit it. They got the house.