Cash versus Mortgage

[Adam Clear]

I am reading BP's book "Rental Property Investing" and got to chapter 13 on financing. Currently, I haven't made any purchases, but I have a question about the math.

Does anyone look at the amortization to see actual numbers for purchases involving loans? If a house goes from $100K to $110K, I see the cash buyer making $10K, but over all the loan buyer would still loose money in the long run. How much would depend on interest rates and term. 

Is there something I am missing? Does the total of all payments not affect any of the calculations?