Question

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

• A. ${36}^{\circ }$
• B. ${54}^{\circ }$
• C. ${59}^{\circ }$
• D. ${72}^{\circ }$

Answer 1

The correct option is D

${72}^{\circ }$

Total expenditure is:
4000 + 2000 + 1500 + 1500 + 1000 = 10,000
Central angle of clothing is
$=\frac{\text{expenditure on clothing}}{\text{total expenditure}}$
$=(\frac{2000}{10000}\times {360}^{\circ })={72}^{\circ }$