A metallic sphere floats in an immiscible mixture of water (p_w = 10³ kg/m³ ) and a liquid (p₁= 13.5 x 10³ kg/m³ ) such that its $\frac{1}{5}\mathrm{th}$ portion is in water and portion is in liquid. Density of the metal is:

• A

  $4.5\times {10}^3 \mathrm{kg}/{\mathrm{m}}^3$

• B

  $4.0\times {10}^3 \mathrm{kg}/{\mathrm{m}}^3$

• C

  $3.5\times {10}^3 \mathrm{kg}/{\mathrm{m}}^3$

• D

  $1.9\times {10}^3 \mathrm{kg}/{\mathrm{m}}^3$