Lucky Champ owes $$191\mathrm{.}25$ interest on a $6\%$ loan he took out on his March $17$ birthday to upgrade an oven in his Irish restaurant, Lucky$$s Pub and Grub. The loan is due on August $17.$ What is the principal $($assume ordinary interest$)?$

Interest on note: $$191\mathrm{.}25$

Interest rate: $6\%$

Note dated: $3/17/2024$

Note due date: $8/17/2024$

Days in year $($ordinary interest$)$: $360$

Required:

$1.$ What is the term of the loan $($in days$)?$

$2.$ What is the principal on the note?