#### 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 \[= \frac{\text{ Central angle of the corresponding sector }\times\text{ Total Money spent }}{360^\circ}\]

\[ = \frac{135^\circ \times 16000}{360^\circ} = 6, 000\]

\[\text{ Ratio of expenses on food and rent }= \frac{6000}{3600} = \frac{5}{3}\]