A metallic sphere floats in an immiscible mixture of water $\left({\mathrm{\rho }}_{\mathrm{W}}={10}^3\mathrm{kg}/{\mathrm{m}}^3\right)$and a liquid $\left({\mathrm{\rho }}_{\mathrm{L}}=13\cdot 5\times {10}^3\mathrm{kg}/{\mathrm{m}}^3\right)$ such that its 4/5th portion is
in water and 1/5th portion in the liquid. The density of metal is

• A

  $4\cdot 5\times {10}^3\mathrm{kg}/{\mathrm{m}}^3$

• B

  $4\cdot 0\times {10}^3\mathrm{kg}/{\mathrm{m}}^3$

• C

  $3\cdot 5\times {10}^3\mathrm{kg}/{\mathrm{m}}^3$

• D

  $3\cdot 0\times {10}^3\mathrm{kg}/{\mathrm{m}}^3$