budget (n.) Look up budget at Dictionary.com
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 (compare 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.
budget (v.) Look up budget at Dictionary.com
"to include in a (fiscal) budget," 1884, from budget (n.). Related: Budgeted; budgeting.