The total amount spent by the family on Groceries, Entertainment and Investment together forms approximately what percent of the amount spent on Commuting?

Answer: Option E

Percentage Break-up of expenditure is:
$$\begin{array}{rl}& \text{Investments →}\left(\frac{54}{360}\times 100\right)\%\\ & =15\%\\ & \text{Commuting →}\left(\frac{79.2}{360}\times 100\right)\%\\ & =22\%\\ & \text{Shopping →}\left(\frac{68.4}{360}\times 100\right)\%\\ & =19\%\\ & \text{Groceries →}\left(\frac{82.8}{360}\times 100\right)\%\\ & =23\%\\ & \text{Medicines →}\left(\frac{39.6}{360}\times 100\right)\%\\ & =11\%\\ & \text{Entertainment →}\left(\frac{36}{360}\times 100\right)\%\\ & =10\%\end{array}$$

Amount spent on Groceries, Entertainment and Investments
\begin{aligned} & = 45800\times\frac{23+10+15}{100} \\ & = 45800\times\frac{48}{100} \\ & \text{Amount spent on Commuting} \\ & = 45800\times\frac{22}{100} \\ & \text{Required %} \\ & = \left(\frac{45800\times\frac{48}{100}}{45800\times\frac{22}{100}}\times100\right)\% \\ & = \frac{2400}{11}\% \\ & = 218.18\% \\ & \approx 218\% \\\end{aligned}