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The Following Pie-chart Shows the Monthly Expenditure of Shikha on Various Items. If She Spends Rs 16000 per Month, Answer the Following Questions: - Mathematics

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ConceptIntroduction of Circle Graph Or Pie Chart

Question

The following pie-chart shows the monthly expenditure of Shikha on various items. If she spends Rs 16000 per month, answer the following questions:

(i) How much does she spend on rent?
(ii) How much does she spend on education?
(iii) What is the ratio of expenses on food and rent?

Solution

(i) Money spent on rent \[= \frac{\text{ Central angle of the corresponding sector }\times\text{ Total Money spent }}{360^\circ}\]
\[ = \frac{81^\circ \times 16000}{360^\circ} =\text{ Rs }3, 600\]
(ii) Money spent on education \[= \frac{\text{ Central angle of the corresponding sector }\times \text{ Total Money spent }}{360^\circ}\]
\[ = \frac{36^\circ \times 16000}{360^\circ} =\text{ Rs }1, 600\]
(iii) Money spent on food \[= \frac{\text{ Central angle of the corresponding sector }\times\text{ Total Money spent }}{360^\circ}\]
\[ = \frac{135^\circ \times 16000}{360^\circ} = 6, 000\]
\[\text{ Ratio of expenses on food and rent }= \frac{6000}{3600} = \frac{5}{3}\]

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 8 by R D Sharma (2019-2020 Session) (2017 to Current)
Chapter 25: Data Handling-III (Pictorial Representation of Data as Pie Charts or Circle Graphs)
Ex. 25.2 | Q: 6 | Page no. 23

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Solution The Following Pie-chart Shows the Monthly Expenditure of Shikha on Various Items. If She Spends Rs 16000 per Month, Answer the Following Questions: Concept: Introduction of Circle Graph Or Pie Chart.
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