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Data Interpretation MCQ Questions and Answers - Pie Chart

Learn Pie Chart Data Interpretation mcq question and answers with easy and logical explanations Page-12 section-1

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.
Direction image of Pie Chart chapter
1
What is the total amount spent by the family on Entertainment and Shopping together?
Discuss
Answer & Solution
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 Entertainment and Shopping
$$\eqalign{ & = \text{Rs.}\left(45800\times\frac{10+19}{100}\right) \cr & = \text{Rs.}\left(45800\times\frac{29}{100}\right) \cr & = \text{Rs. 13282}\cr} $$
2
What is the amount spent by the family on commuting?
Discuss
Answer & Solution
Percentage Break-up of expenditure is:
$$\eqalign{ & \text{Investments →} \left(\frac{54}{360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 15\% \cr & \text{Commuting →} \left(\frac{79.2}{360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 22\% \cr & \text{Shopping →} \left(\frac{68.4}{360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 19\% \cr & \text{Groceries →} \left(\frac{82.8}{360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 23\% \cr & \text{Medicines →} \left(\frac{39.6}{360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 11\% \cr & \text{Entertainment →} \left(\frac{36} {360}\times100\right)\% \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\, = 10\% \cr} $$

$$\eqalign{ & \text{Amount spent on commuting} \cr & = \text{Rs.}\left(45800\times\frac{22}{100}\right) \cr & = \text{Rs. 10076} \cr} $$
3
The total amount spent by the family on Groceries, Entertainment and Investment together forms approximately what percent of the amount spent on Commuting?
Discuss
Answer & Solution
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
$$\eqalign{ & = 45800\times\frac{23+10+15}{100} \cr & = 45800\times\frac{48}{100} \cr & \text{Amount spent on Commuting} \cr & = 45800\times\frac{22}{100} \cr & \text{Required %} \cr & = \left(\frac{45800\times\frac{48}{100}}{45800\times\frac{22}{100}}\times100\right)\% \cr & = \frac{2400}{11}\% \cr & = 218.18\% \cr & \approx 218\% \cr} $$
4
What is the ratio of the amount spent by the family on medicine to the amount spent on groceries?
Discuss
Answer & Solution
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)
$$\eqalign{ & = \left(45800\times\frac{11}{100}\right):\left(45800\times\frac{23}{100}\right) \cr & = 11:23 \cr} $$