Question

The following data relates to the expenses of a household in Bangalore.
$\begin{array}{cc}\text{Items}& \text{Expenditure(in Rs)}\\ \text{Food}& 4000\\ \text{Clothing}& 2000\\ \text{Rent}& 1500\\ \text{Education}& 1500\\ \text{Miscellaneous}& 1000\end{array}$
What will be the central angle of clothing?

• A. ${62}^{\circ }$
• B. ${70}^{\circ }$
• C. ${80}^{\circ }$
• D. ${72}^{\circ }$

Answer 1

The correct option is D

${72}^{\circ }$

Total expenditure $=4000+2000+1500+1500+1000$
$=10,000$

Central angle of clothing
$=\frac{\text{Expenditure on clothing}}{\text{Total expenditure}}\times {360}^{\circ }$

$=(\frac{2000}{10000}\times {360}^{\circ })={72}^{\circ }$