"If money income stays the same, but the price level increases, the purchasing power of that income falls. Inflation does not always imply falling purchasing power of one's real income, since one's money income may rise faster than inflation."
Currency can be either a commodity money, like gold or silver, or fiat currency like US dollars. As Adam Smith noted, having money gives one the ability to "command" others' labor, so purchasing power to some extent is power over other people, to the extent that they are willing to trade their labor or goods for money or currency.
For a price index, its value in the base year is usually normalized to a value of 100. The purchasing power of a unit of currency, say a dollar, in a given year, expressed in dollars of the base year, is 100/P, where P is the price index in that year. So, by definition the purchasing power of a dollar decreases as the price level rises.
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