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1. 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.

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%

Solution:

Percentage Break-up of expenditure is:

\begin{aligned} Investments → (\frac{54}{360} \times 100) % \\ = 15 % \\ Commuting → (\frac{79.2}{360} \times 100) % \\ = 22 % \\ Shopping → (\frac{68.4}{360} \times 100) % \\ = 19 % \\ Groceries → (\frac{82.8}{360} \times 100) % \\ = 23 % \\ Medicines → (\frac{39.6}{360} \times 100) % \\ = 11 % \\ Entertainment → (\frac{36}{360} \times 100) % \\ = 10 % \end{aligned}

Amount spent on Groceries, Entertainment and Investments

\begin{aligned} = 45800 \times \frac{23 + 10 + 15}{100} \\ = 45800 \times \frac{48}{100} \\ Amount spent on Commuting \\ = 45800 \times \frac{22}{100} \\ Required % \\ = (\frac{45800 \times \frac{48}{100}}{45800 \times \frac{22}{100}} \times 100) % \\ = \frac{2400}{11} % \\ = 218.18 % \\ \approx 218 % \end{aligned}

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