Directions (1 - 4): Study the following pie-chart carefully and answer the questions that follow:
Degreewise Break-up of Expenditure of a Family in a month
Total Amount Spent In a Month = Rs. 45800.
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The total amount spent by the family on Groceries, Entertainment and Investment together forms approximately what percent of the amount spent on Commuting?

A. 209%

B. 76%

C. 154%

D. 42%

E. 218%

Answer: Option E

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

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