Raj deposits $100$ into a fund at the end of each $2-$year period for $20$ years. The fund pays interest at an annual effective rate of $i.$

The total amount of interest earned by the fund during the $19$th and $20$th years is $250.$

Calculate the accumulated amount in Raj's account at the end of year $20.$

A$.1925$

B$.1950$

C$.1975$

D$.2000$

E$.2025$