The following pie-chart shows the monthly expenditure of Shikha on various items.

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

$=\frac{81^{\circ} \times 16000}{360^{\circ}}=\operatorname{Rs} 3,600$

(ii) Money spent on education $=\frac{\text { Central angle of the corresponding sector } \times \text { Total Money spent }}{360^{\circ}}$

$=\frac{36^{\circ} \times 16000}{360^{\circ}}=$ Rs 1,600

(iii) Money spent on food $=\frac{\text { Central angle of the corresponding sector } \times \text { Total Money spent }}{360^{\circ}}$

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

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

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