Select the wrong statement.

when a body of density $\mathrm{\rho }$ and volume V is floating in a liquid of density ${\mathrm{\rho }}^{\mathrm{I}}$

If V' (<V) is the volume of the body submerged in the liquid, Then $\mathrm{\rho }$v'g=${\mathrm{\rho }}^{\mathrm{I}}$vg. Since V' < V, we can conclude $\mathrm{\rho }$ < ${\rho }^I$. Loss in its weight is ${\mathrm{\rho }}^{\mathrm{I}}$V'g. which is less than ${\mathrm{\rho }}^{\mathrm{I}}$Vg. Apparent weight is $\mathrm{\rho }$Vg - ${\mathrm{\rho }}^{\mathrm{I}}$V'g = 0