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Direction (1 - 5): The following pie-chart shows the monthly expenditure of a family on various items. If the family spends Rs. 825 on clothing answer the questions.
Direction image of Pie Chart chapter
1
The ratio of average of expenses on food, clothing and miscellaneous items to the average of expenses of on saving and rent is:
Discuss
Answer & Solution
Average of (food + clothing + miscellanies)
$$\eqalign{ & = \frac{108° + 36° + 72°}{3} \cr & = 72° \cr & \text{Avg. of } \left(\text{saving + rent} \right) \cr & = \frac{90° + 54°}{2} \cr & = 72° \cr & \therefore \text{Required ratio} \cr & = 72° : 72° \cr & = 1 : 1 \cr} $$
2
What percent of the total income does the family save.
Discuss
Answer & Solution
$$\eqalign{ & \text{Total expenditure} = 360° \cr & \text{Saving} = 54° \cr & \therefore \text{Required %} \cr & = \frac{54}{360°}\times100 \cr & = 15\% \cr} $$
3
What is the average of expenses of clothing and rent.
Discuss
Answer & Solution
$$\eqalign{ & \text{Average of } \left(\text{clothing + rent} \right) \cr & = \frac{36° + 90°}{2} \cr & = 63° \cr & \because 360° = \text{Rs. }8250 \cr & \therefore 63° = \frac{8250}{360} \times 63 \cr & = \text{Rs. }1443.75 \cr} $$
4
What is the total monthly income of the family?
Discuss
Answer & Solution
Expenditure on cloth = 825
∵ 36° = 825
∴ 360° = 825 × 10
            = Rs. 8250
5
What is the ratio of expenses on food and miscellaneous?
Discuss
Answer & Solution
Required ratio
Food   :   Miscellaneous
108°   :   72°
3   :   2