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S1: The ratio of the efficiency to complete the work of A, B, and C is 3 : 4 : 5 respectively.
S2: Total amount A, B and C earned by working together is Rs. 7200.
Question: What is the amount earned by B alone? 
Which one of the following is correct in respect of the Statement and the questions?
  • a)
    S1 and S2 together are sufficient to answer the question.
  • b)
    S2 alone is sufficient to answer the question.
  • c)
    S1 alone is sufficient to answer the question.
  • d)
    S1 and S2 together are not sufficient to answer the question.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
S1: The ratio of the efficiency to complete the work of A, B, and C is...
Solution:
Given:
- The ratio of the efficiency to complete the work of A, B, and C is 3 : 4 : 5 respectively.
- Total amount A, B, and C earned by working together is Rs. 7200.

To find:
- The amount earned by B alone.

Let's analyze the given information and statements to determine if they are sufficient to answer the question.

Statement 1 (S1):
The ratio of the efficiency to complete the work of A, B, and C is 3 : 4 : 5 respectively.

From this statement, we can conclude that the ratio of their efficiencies is 3 : 4 : 5. However, we need additional information to determine the amount earned by B alone.

Statement 2 (S2):
Total amount A, B, and C earned by working together is Rs. 7200.

This statement tells us the total amount earned when A, B, and C work together, but it does not provide any information about the individual amounts earned by A, B, or C. Therefore, it is not sufficient to answer the question.

Combining S1 and S2:
When we combine S1 and S2, we know the ratio of the efficiencies and the total amount earned when they work together. We can use this information to determine the individual amounts earned by A, B, and C.

Let's assume the individual amounts earned by A, B, and C are A_amount, B_amount, and C_amount respectively.

Since the ratio of their efficiencies is 3 : 4 : 5, the ratio of the amounts earned by A, B, and C will also be 3 : 4 : 5.

Let the common ratio be x, then we have:
A_amount = 3x
B_amount = 4x
C_amount = 5x

The total amount earned when they work together is Rs. 7200, so we have:
A_amount + B_amount + C_amount = 3x + 4x + 5x = 12x = 7200

Solving this equation, we find:
x = 600

Now we can find the amount earned by B alone:
B_amount = 4x = 4 * 600 = 2400

Therefore, the amount earned by B alone is Rs. 2400.

Conclusion:
By combining S1 and S2, we were able to determine the amount earned by B alone. Hence, option 'A' is correct - S1 and S2 together are sufficient to answer the question.
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Community Answer
S1: The ratio of the efficiency to complete the work of A, B, and C is...
S1: The ratio of the efficiency of A, B, and C is 3 : 4 : 5 respectively.
Using this statement we can only determine the efficiency of A, B, and C.
So, S1 alone is not sufficient to know the amount earned by B alone.
S2: Total amount A, B and C earned by working together is Rs. 7200.
So, S2 alone is not sufficient to know the amount earned by B alone.
If we combine both the statements,
Efficiency of A, B, and C = 3 ∶ 4 ∶ 5
Total amount = Rs. 7200
Amount earned by B alone
So, using both statements we can calculate the amount earned by B.
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S1: The ratio of the efficiency to complete the work of A, B, and C is 3 : 4 : 5 respectively.S2: Total amount A, B and C earned by working together is Rs. 7200.Question: What is the amount earned by B alone?Which one of the following is correct in respect of the Statement and the questions?a)S1 and S2 together are sufficient to answer the question.b)S2 alone is sufficient to answer the question.c)S1 alone is sufficient to answer the question.d)S1 and S2 together are not sufficient to answer the question.Correct answer is option 'A'. Can you explain this answer?
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