$A$ and $B$ are partners in a firm sharing profits and losses in the ratio of $5:3$. They admit $C$ as a partner for $\frac{1}{4}\text{th}$ share in the profits of the firm. Calculate the new profit sharing ratio of $A$, $B$ and $C$ if $C$ acquires his share as $\frac{1}{5}\text{th}$ from $A$ and $\frac{1}{20}\text{th}$ from $B$.

1. A
   $17:15:13$
2. B
   $17:130:10$
3. C
   $17:13:11$
4. D
   $17:15:10$