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

(1) Money spent on rent = \(\frac{central\,angle\,of\,the\,sector\,\times\,Total\,Money\,\,spent}{360^\circ}\) = \(\frac{81^\circ\,\times\,16000}{360^\circ}\) = 3,600 rupees

(2) Money spent on education = \(\frac{central\,angle\,of\,the\,sector\,\times\,Total\,Money\,\,spent}{360^\circ}\) = \(\frac{36^\circ\,\times\,16000}{360^\circ}\) = 1,600 rupees

(3) Money spent on food = \(\frac{central\,angle\,of\,the\,sector\,\times\,Total\,Money\,\,spent}{360^\circ}\) = \(\frac{135^\circ\,\times\,16000}{360^\circ}\) = 6000 rupees

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