The Cost of Living Index Number (also known as the Consumer Price Index or CPI) measures the change in the general price level of goods and services that a household consumes. The purchasing power of money is the value of a currency in terms of the goods it can buy. It is inversely proportional to the price level. The formula to calculate it is:
\[ \text{Purchasing Power of Money} = \frac{1}{\text{Cost of Living Index Number}} \times 100 \]
Since the index is a direct component of the calculation, the statement is True.