Purchasing power is the amount of value of a good/services compared to the amount paid. 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. Adam Smith ( baptised 16 June 1723 – 17 July 1790) was a Scottish moral philosopher and a pioneer of Political economy. Money is anything that is generally accepted as Payment for Goods and services and repayment of Debts.
If money income stays the same, but the price level increases, the purchasing power of that income falls. A price level is a hypothetical measure of overall prices for some set of goods and services in a given region during a given interval normalized relative to some Inflation does not always imply falling purchasing power of one's real income, since one's money income may rise faster than inflation. In economics inflation or price inflation is a rise in the general level of prices of goods and services over a period of time Real income is the Income of individuals or nations after adjusting for Inflation.
For a price index, its value in the base year is usually normalized to a value of 100 in the base year. A price index ( plural: “price indices” or “price indexes” is a normalized Average (typically a ''weighted'' average) of Prices for a The formula for purchasing power of a unit of money, say a dollar, relative to a standard price index P in a given year is 1/(P/100). So, by definition the purchasing power of a dollar decreases as the price level rises.