As liquid 1 floats over liquid 2 . The lighter liquid floats over heavier liquid. So, ρ1<ρ2 Also ρ3<ρ2 because the ball of density rho3 does not sink to the bottom of the jar. Also ρ3>ρ1 otherwise the ball would have floated in liquid 1 . we conclude that ρ1<ρ3<ρ2