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Cost of sugar in a month under the heads Raw Materials, labour, direct production and others were 12, 20, 35 and 23 units respectively. What is the difference between the central angles for the largest and smallest components of the cost of sugar?
  • a)
    72°
  • b)
    48°
  • c)
    56°
  • d)
    92°
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Cost of sugar in a month under the heads Raw Materials, labour, direct...
Largest component = 35, 
smallest component = 12 
Difference = 35 - 12 = 23 
Central angle corresponding to that difference = (23/90) x 360 deg = 92 degree
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Most Upvoted Answer
Cost of sugar in a month under the heads Raw Materials, labour, direct...
Given:
Raw Materials cost = 12 units
Labour cost = 20 units
Direct production cost = 35 units
Other costs = 23 units

To find: Difference between the central angles for the largest and smallest components of the cost of sugar.

Solution:
Total cost of sugar = Raw Materials + Labour + Direct production + Others
Total cost of sugar = 12 + 20 + 35 + 23
Total cost of sugar = 90 units

To find the central angle for each component, we need to calculate the percentage of each component in the total cost of sugar.

Raw Materials cost percentage = (Raw Materials cost / Total cost of sugar) x 100
Raw Materials cost percentage = (12 / 90) x 100
Raw Materials cost percentage = 13.33%

Labour cost percentage = (Labour cost / Total cost of sugar) x 100
Labour cost percentage = (20 / 90) x 100
Labour cost percentage = 22.22%

Direct production cost percentage = (Direct production cost / Total cost of sugar) x 100
Direct production cost percentage = (35 / 90) x 100
Direct production cost percentage = 38.89%

Other costs percentage = (Other costs / Total cost of sugar) x 100
Other costs percentage = (23 / 90) x 100
Other costs percentage = 25.56%

Now we can find the central angle for each component using the formula:
Central angle = Percentage x 360°

Raw Materials central angle = 13.33% x 360°
Raw Materials central angle = 48°

Labour central angle = 22.22% x 360°
Labour central angle = 80°

Direct production central angle = 38.89% x 360°
Direct production central angle = 140°

Other costs central angle = 25.56% x 360°
Other costs central angle = 92°

Finally, we can find the difference between the central angles for the largest and smallest components:
Difference = Largest central angle - Smallest central angle
Difference = 140° - 48°
Difference = 92°

Therefore, the difference between the central angles for the largest and smallest components of the cost of sugar is 92°.
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Cost of sugar in a month under the heads Raw Materials, labour, direct production and others were 12, 20, 35 and 23 units respectively. What is the difference between the central angles for the largest and smallest components of the cost of sugar?a)72°b)48°c)56°d)92°Correct answer is option 'D'. Can you explain this answer?
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