JEE CHEMISTRY MCQ: SOME BASIC CONCEPTS OF CHEMISTRY

Sodium bicarbonate $\mathrm{NaHCO}_3$ can be purified by dissolving it in hot water $\left(60^{\circ} \mathrm{C}\right),$ filtering to remove insoluble impurities, cooling to $0^{\circ} \mathrm{C}$ to precipitate solid $\mathrm{NaHCO}_3,$ and then filtering to remove the solid, leaving soluble impurities in solution. Any $\mathrm{NaHCO}_3$ that remains in the solution is not recovered. The solubility of $\mathrm{NaHCO}_3$ in hot water at $60^{\circ} \mathrm{C}$ is $164 \mathrm{~g} /$ litre and is $69 \mathrm{~g/litre}$ in cold water at $0^{\circ} \mathrm{C}.$ What is the percentage yield of $\mathrm{NaHCO}_3,$ when it is purified by this method?