Other mistake: The scene after Genie saves Aladdin from drowning, Aladdin is recovering. The left pocket of his pants has a clear outline of a smartphone in it, or possibly a radio mic.
Other mistake: When Aladdin is in the polar area, when he exhales the water-vapour is not showing. Also he has no goosebumps.
Answer: Despite being a princess, Jasmine likely did not have access to money. Royals are known to never carry cash on their persons. Everything in Jasmine's life is controlled, and whatever she needs or wants is provided. She is young, naive, and has been so pampered and sheltered from the real world that she'd probably never consider how currency works.
raywest ★