$231.$In a liquid$-$liquid extraction, $10$ kg of a solution containing $2$ kg of solute C and $8$ kg of solvent A is brought into contact with $10$ kg of solvent B$.$ Solvent A and B are completely immiscible in each other whereas solute C is soluble in both the solvents. The extraction process attains equilibrium. The equilibrium relationship between the two phases is Y$*=0\mathrm{.}9$X$,$ where Y$*$ is the kg of C$/$kg of B and X is kg of C$/$kg of A$.$ Choose the correct answer.

The entire amount of C is transferred to solvent B

Less than $2$ kg but more than $1$ kg of C is transferred to solvent B

Less than $1$ kg of C is transferred to B

No amount of C is transferred to B