Price is the amount you pay to buy a product or service.

Fee is usually a specific charge for a service, permission, processing, membership, or penalty.

Word Meaning Example
Price Cost of buying something The price of this laptop is $900.
Fee Charge for a service or facility The bank charged a $25 fee.

Simple difference:

You pay a price for the main thing you buy.
You pay a fee for an extra service, access, processing, or rule-based charge.

Examples:

“The price of the ticket is $100, but there is a $12 booking fee.”

“The price of the house is $750,000, and the real estate agent charges a commission fee.”

“The price of the course is $500, and the exam fee is $75.”

So, price = main cost, and fee = service/administrative/additional charge.