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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 larges and smallest components of the cost of sugar?
- a)720
- b)480
- c)560
- d)920
Correct answer is option 'D'. Can you explain this answer?
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Cost of sugar in a month under the heads Raw Materials, labour, direct...
Given data:
- Raw Materials cost = 12 units
- Labour cost = 20 units
- Direct Production cost = 35 units
- Others cost = 23 units
To find: Difference between central angles for largest and smallest components of cost
Solution:
1. Calculate the total cost of sugar:
Total cost = Raw Materials + Labour + Direct Production + Others
Total cost = 12 + 20 + 35 + 23
Total cost = 90 units
2. Calculate the percentage of each component:
Raw Materials % = (Raw Materials / Total cost) x 100
Raw Materials % = (12 / 90) x 100
Raw Materials % = 13.33%
Labour % = (Labour / Total cost) x 100
Labour % = (20 / 90) x 100
Labour % = 22.22%
Direct Production % = (Direct Production / Total cost) x 100
Direct Production % = (35 / 90) x 100
Direct Production % = 38.89%
Others % = (Others / Total cost) x 100
Others % = (23 / 90) x 100
Others % = 25.56%
3. Calculate the central angle for each component:
Central angle = (Percentage / 100) x 360
Raw Materials angle = (13.33 / 100) x 360
Raw Materials angle = 48 degrees
Labour angle = (22.22 / 100) x 360
Labour angle = 80 degrees
Direct Production angle = (38.89 / 100) x 360
Direct Production angle = 140 degrees
Others angle = (25.56 / 100) x 360
Others angle = 92 degrees
4. Calculate the difference between the central angles for largest and smallest components:
Difference = Central angle of largest component - Central angle of smallest component
Difference = 140 - 48
Difference = 92 degrees
Therefore, the difference between the central angles for the largest and smallest components of the cost of sugar is 92 degrees. Option D is the correct answer.
- Raw Materials cost = 12 units
- Labour cost = 20 units
- Direct Production cost = 35 units
- Others cost = 23 units
To find: Difference between central angles for largest and smallest components of cost
Solution:
1. Calculate the total cost of sugar:
Total cost = Raw Materials + Labour + Direct Production + Others
Total cost = 12 + 20 + 35 + 23
Total cost = 90 units
2. Calculate the percentage of each component:
Raw Materials % = (Raw Materials / Total cost) x 100
Raw Materials % = (12 / 90) x 100
Raw Materials % = 13.33%
Labour % = (Labour / Total cost) x 100
Labour % = (20 / 90) x 100
Labour % = 22.22%
Direct Production % = (Direct Production / Total cost) x 100
Direct Production % = (35 / 90) x 100
Direct Production % = 38.89%
Others % = (Others / Total cost) x 100
Others % = (23 / 90) x 100
Others % = 25.56%
3. Calculate the central angle for each component:
Central angle = (Percentage / 100) x 360
Raw Materials angle = (13.33 / 100) x 360
Raw Materials angle = 48 degrees
Labour angle = (22.22 / 100) x 360
Labour angle = 80 degrees
Direct Production angle = (38.89 / 100) x 360
Direct Production angle = 140 degrees
Others angle = (25.56 / 100) x 360
Others angle = 92 degrees
4. Calculate the difference between the central angles for largest and smallest components:
Difference = Central angle of largest component - Central angle of smallest component
Difference = 140 - 48
Difference = 92 degrees
Therefore, the difference between the central angles for the largest and smallest components of the cost of sugar is 92 degrees. Option D is the correct answer.
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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 larges and smallest components of the cost of sugar?a)720b)480c)560d)920Correct answer is option 'D'. Can you explain this answer?
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