How is getting a mortgage for 10,000 considered high risk?

I want to eventually take a mortgage out so that I can finally have my own place to live, but I was told the banks would be less likely to loan to me if the price was low.such as $10,000. This makes NO SENSE to me. How dose something that's not as expensive turn out to be "high risk? Wouldn't getting an EXPENSIVE house be high risk?

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