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?

Answer 1

$$\begin{gathered} \left(\mathrm{i}\right)\mathrm{Money}\mathrm{spent}\mathrm{on}\mathrm{rent}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}\times \mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°} \\ =\frac{81°\times 16000}{360°}=\mathrm{Rs}3,600 \\ \left(\mathrm{ii}\right)\mathrm{Money}\mathrm{spent}\mathrm{on}\mathrm{education}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}\times \mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°} \\ =\frac{36°\times 16000}{360°}=\mathrm{Rs}1,600 \\ \left(\mathrm{iii}\right)\mathrm{Money}\mathrm{spent}\mathrm{on}\mathrm{food}=\frac{\mathrm{Central}\mathrm{angle}\mathrm{of}\mathrm{the}\mathrm{corresponding}\mathrm{sector}\times \mathrm{Total}\mathrm{Money}\mathrm{spent}}{360°} \\ =\frac{135°\times 16000}{360°}=6,000 \\ \mathrm{Ratio}\mathrm{of}\mathrm{expenses}\mathrm{on}\mathrm{food}\mathrm{and}\mathrm{rent}=\frac{6000}{3600}=\frac{5}{3} \end{gathered}$$