$10,000k\frac{g}{h}$ of solution containing $20\%$ methanol is continuously fed to : distillation column. Distillate $($product$)$ is found to contain $98\%$ methanol and waste solution from the column carries $1\%$ methanol. All percentages are by weight. Calculate $($a$)$ the mass flow rates of distillate and bottom product and $($b$)$ the percent loss of methyl alcohol.