Two non-mixing liquids of densities $\rho$ and $n \rho \;(n > 1)$ are put in a container. The height of each liquid is $h$. A solid cylinder of length $L$ and density $d$ is put in this container. The cylinder floats with its axis vertical and length pL $(p < 1)$ in the denser liquid. The density $d$ is equal to :

Question

( A ) $\{ 2 + (n+1) p \} \rho$
( B ) $\{ 1 + (n-1) p \} \rho$
( C ) $\{ 2 + (n-1) p \} \rho$
( D ) $\{ 1 + (n+1) p \} \rho$