Solution(By Examveda Team)

Percentage Break-up of expenditure is:
$$\eqalign{ & \text{Investments →} \left(\frac{54}{360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\% \cr & \text{Commuting →} \left(\frac{79.2}{360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 22\% \cr & \text{Shopping →} \left(\frac{68.4}{360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19\% \cr & \text{Groceries →} \left(\frac{82.8}{360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 23\% \cr & \text{Medicines →} \left(\frac{39.6}{360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\% \cr & \text{Entertainment →} \left(\frac{36} {360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$

(Amount spent on medicine) : (Amount spent on groceries)
$$\eqalign{ & = \left(45800\times\frac{11}{100}\right):\left(45800\times\frac{23}{100}\right) \cr & = 11:23 \cr} $$