A principal in math or especially finance is the amount of money borrowed or invested on which interest is calculated.
Example #1
You go to a local bank to borrow money.
Loan amount: 35,000
Total amount you pay after 60 months: 39,629.59
Total interest you after 60 months: 4,629.59
Total cost after 60 months: 42,079.59
The principal is 35,000 since this is the amount you borrowed from the bank.
Example #2
You go to a local bank and make a deposit.
Deposit : 80,000
Annual interest rate: 3.875
Total interest you receive after 1 year: 3,155.65
The principal is 80,000 since this is the amount you invested