A loan carries a simple interest rate of $5\mathrm{.}25\%.$ The loan was fully repaid by two $$5000$ payments made $8$ and $11$ months after the original date of the loan. How much was borrowed at the start?

Multiple Choice

$$10,000$

$$9601\mathrm{.}34$

$$9661\mathrm{.}84$

$$9540\mathrm{.}85$

$$9329\mathrm{.}44$