Makayla bought a $$1,000,5-$year inflation$-$indexed bond that had a real interest rate of $5\mathrm{.}10\%$ when the CPI was $248\mathrm{.}615.$ A year later, the CPI decreased to $219\mathrm{.}313.$ What amount of interest $($rounded to the nearest cent$)$ will she receive?

a$.$ $$57\mathrm{.}81$

b$.$ $$51\mathrm{.}00$

c$.$ $$44\mathrm{.}99$

d$.$ $$27\mathrm{.}10$