A, B and C are partner's sharing profits and losses in the ratio of $\frac{3}{8}:\frac{1}{2}:\frac{1}{8}$.If A dies, then the new ratio of B and C will be :

The existing profit sharing ratio of A, B, and C is $\frac{3}{8}:\frac{1}{2}:\frac{1}{8}$.To equate the denominators, write $\frac{1}{2}$ as $\frac{4}{8}$.So, the ratio becomes $3:4:1$.If A dies, we strike out A's share ($3$). The remaining ratio between B and C becomes $4:1$.