early 15c., "leather pouch," from Middle French bougette, diminutive of Old French bouge "leather bag, wallet, pouch," from Latin bulga "leather bag," of Gaulish origin (cf. Old Irish bolg "bag," Breton bolc'h "flax pod"), from PIE *bhelgh- (see belly (n.)). Modern financial meaning (1733) is from notion of treasury minister keeping his fiscal plans in a wallet. Another 18c. transferred sense was "bundle of news," hence the use of the word as the title of some newspapers.
"to include in a (fiscal) budget," 1884, from budget (n.). Related: Budgeted; budgeting.
Low-quality or cheap: No thanks on the budget toilet paper