The cost of production of an article is made up as follows
Labour N70
Power N15
Materials N30
Miscellaneous N5
Find the angle of the sector representing labour in a pie chart.
A. 210°
B. 105°
C. 175°
D. 150°
Correct Answer: A
Explanation
To find the angle of the sector representing labour in a pie chart, follow these steps:
1. Calculate the total cost of production:
\[
\text{Total Cost} = \text{Labour} + \text{Power} + \text{Materials} + \text{Miscellaneous}
\]
\[
\text{Total Cost} = 70 + 15 + 30 + 5 = 120
\]
2. Determine the fraction of the total cost that is due to labour:
\[
\text{Fraction for Labour} = \frac{\text{Labour}}{\text{Total Cost}} = \frac{70}{120}
\]
Simplify the fraction:
\[
\frac{70}{120} = \frac{7}{12}
\]
3. Convert this fraction into an angle for the pie chart:
The total angle in a pie chart is \(360^\circ\).
\[
\text{Angle for Labour} = \frac{7}{12} \times 360^\circ
\]
\[
\text{Angle for Labour} = 7 \times 30^\circ = 210^\circ
\]
Thus, the angle of the sector representing labour in the pie chart is:
A. 210°