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The cost of production of an article is made up as follows Labour N70 Power ...

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.
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  • A 210°
  • B 105°
  • C 175°
  • D 150°
Correct Answer: Option 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°

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