http://goldprice.org/charts/history/gold_all_data_o_usd.png
And no, there has not been a "run for Gold" or things like that, Gold is not used as a currency anywhere a demand is still relatively low and stable.
So that gives you a sense of how much inflation you have been getting over the years. It's certainly faster than the official numbers. And anyone who has lived through the past 30 years should know very well that you could buy more commodities with a single dollar in the 80s than you can buy nowadays with the same amount.
Regarding savings -> you know most people do not get paid directly in cash, right? Most if not not all employers require de facto a bank account in order to pay salaries (we are not in the 60s anymore) and most of the savings go and stay there when you work. These savings become funds that the bank can use to emit loans and different financial services to private companies.