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A piece of work was finished by A, B, and C together. A and B together finished 60% of the work and B and C together finished 70% of work. Who among the three is the most efficient? (SSC CGL 2017)
- a)A
- b)B
- c)C
- d)A or B
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
A piece of work was finished by A, B, and C together. A and B together...
According to question,
A + B = 60% and B + C = 70%
∴ (A + B) + (B + C) – (A + B + C) = B
(60 + 70 – 100) = 30
∴ B = 30%
A = 30% and C = 40%
Hence, C is most efficient.
A + B = 60% and B + C = 70%
∴ (A + B) + (B + C) – (A + B + C) = B
(60 + 70 – 100) = 30
∴ B = 30%
A = 30% and C = 40%
Hence, C is most efficient.
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Community Answer
A piece of work was finished by A, B, and C together. A and B together...
Given information:
- A, B, and C together finished a piece of work.
- A and B together finished 60% of the work.
- B and C together finished 70% of the work.
Efficiency comparison:
A and B's efficiency:
- A and B together finished 60% of the work.
- This means that A and B combined have an efficiency of 60%.
B and C's efficiency:
- B and C together finished 70% of the work.
- This implies that B and C combined have an efficiency of 70%.
Comparison of efficiencies:
- We know that B is a common factor in both efficiency calculations. Therefore, we can compare the efficiencies of A and C indirectly through B.
- Since B has a higher efficiency when working with C (70%) compared to working with A (60%), we can infer that C is more efficient than A.
Conclusion:
- Among A, B, and C, C is the most efficient based on the information provided in the question.
- A, B, and C together finished a piece of work.
- A and B together finished 60% of the work.
- B and C together finished 70% of the work.
Efficiency comparison:
A and B's efficiency:
- A and B together finished 60% of the work.
- This means that A and B combined have an efficiency of 60%.
B and C's efficiency:
- B and C together finished 70% of the work.
- This implies that B and C combined have an efficiency of 70%.
Comparison of efficiencies:
- We know that B is a common factor in both efficiency calculations. Therefore, we can compare the efficiencies of A and C indirectly through B.
- Since B has a higher efficiency when working with C (70%) compared to working with A (60%), we can infer that C is more efficient than A.
Conclusion:
- Among A, B, and C, C is the most efficient based on the information provided in the question.
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