So this type of data set is quantitative, as it is numeric. We can also further classify it as discrete or continuous. Discrete data has a finite number of values (Ex. Must be whole numbers for people: 1,2,3,4) and continuous data has an infinite set of values (1.14, 1.141, 1.1411...). In the case of money, I would assume you can only round to the hundredths point value (cents), making it a discrete quantitative set of data.
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I would say it is a ratio variable, as the data can be measured by a fixed scale and has an absolute zero that is meaningful. I can say that the set value of $80 is four times higher than the value of $20, unlike interval ratios.