Assertion: A supersaturated solution crystallizes as it cools.
Reason: The solubility increases as the temperature decreases.
Since a supersaturated solution contains more amount of solute than it can dissolve at that temperature, it is prepared by heating the solvent and then dissolving the solute. It crystallizes as the solution cools.
Depending on the type of solute, some solute solubility increases as the temperature increases, and for some solutes, solubility decreases as temperature increases. This is not connected to the crystallization of supersaturated solutions.
Hence, assertion and reason are correct. The reason is not the correct explanation of assertion.
Hence, option B is correct.