non-profit (adj.)

mid-13c., "income derived from an office, property, transaction, etc.;" c. 1300, "benefit, spiritual benefit, advantage;" from Old French prufit, porfit "profit, gain" (mid-12c.), from Latin profectus "growth, advance, increase, success, progress," noun use of past participle of proficere "accomplish, make progress; be useful, do good; have success, profit," from pro "forward" (from PIE root *per- (1) "forward") + combining form of facere "to make, do" (from PIE root *dhe- "to set, put"). An Old English word "gain, profit" was gewinn.

From mid-14c. as "use, usefulness." The specific sense of "the advantage or gain resulting to the owner of capita; from its employment in any undertaking, acquisition beyond expenditure" is from c. 1600. Profit margin "what remains when costs involved are deducted from profit" is attested from 1853. Profit-sharing is by 1881.

As used in political economy, profit means what is left of the product of industry after deducting the wages, the price of raw materials, and the rent paid in the production, and is considered as being composed of three parts — interest, risk or insurance, and wages of superintendence. [Century Dictionary]

a prefix used freely in English and meaning "not, lack of," or "sham," giving a negative sense to any word, 14c., from Anglo-French noun-, from Old French non-, from Latin non "not, by no means, not at all, not a," from Old Latin noenum "not one" (*ne oinom, from PIE root *ne- "not" + PIE root *oi-no- "one, unique"). In some cases perhaps from Middle English non "not" (adj.), from Old English nan (see not). "It differs from un- in that it denotes mere negation or absence of the thing or quality, while un- often denotes the opposite of the thing or quality" [Century Dictionary].