earn a living vs profit

earn a living

profit

noun
  • Total income or cash flow minus expenditures. The money or other benefit a non-governmental organization or individual receives in exchange for products and services sold at an advertised price. 

verb
  • To benefit (somebody), be of use to (somebody). 

  • To take advantage of, exploit, use. 

  • To benefit, gain. 

How often have the words earn a living and profit occurred in a corpus of books? (source: Google Ngram Viewer )