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A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?
(1) p + r = 30
(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.
(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.
- a)Statement (1) ALONE is sufficient, but statement (2) alone is
not sufficient to answer the question asked. - b)Statement (2) ALONE is sufficient, but statement (1) alone is
not sufficient to answer the question asked. - c)BOTH statements (1) and (2) TOGETHER are sufficient to
answer the question asked, but NEITHER statement ALONE
is sufficient to answer the question asked. - d)EACH statement ALONE is sufficient to answer the question
asked. - e)Statements (1) and (2) TOGETHER are NOT sufficient to
answer the question asked, and additional data specific to the problem are needed.
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A company had 1000 employees at the beginning of the year 2011. If p p...
Step 1 & 2: Understand Question and Draw Inference
- Employees at the beginning of the year 2011 = 1000
- Employees who left during the year 2011 = p% of 1000 =
- Employees at the end of the year 2011 = 1000 + r% of 1000
- (Employees at the end of 2011) = (Employees at the beginning of the year
- Employees who left during the year) + (Employees who joined the company during the year 2011)
- Employees who joined the company during the year 2011 = Employees at the end of the year – (Employees at the beginning of the year – Employees who left during the year)
- Employees who left during the year) + (Employees who joined the company during the year 2011)
= 1000 + 10r – (1000 -10p) = 10(r + p)
- Therefore to answer the question, we:
- Need to find values of r and p or
- Need to find values of r + p
Step 3 : Analyze Statement 1 independent
1. p + r = 30
Value of r + p is given, hence sufficient to answer.
Value of r + p is given, hence sufficient to answer.
Step 4 : Analyze Statement 2 independent
- Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.
- Employees who left the company during the year 2011 = r% of 1000
- Employees at the end of the year 2011 = 1000 + p% of 1000
Employees joining the company during the year 2011 = (Employees at the end of the year) – (Employees at the beginning of the year – Employees who left during the year)
= (1000 + 10p) – (1000 – 10r)
= 10 (p+ r), which is the same as the expression derived in Step-I.
As we do not have the value of r and p or r + p, the statement is insufficient to answer the question.
= (1000 + 10p) – (1000 – 10r)
= 10 (p+ r), which is the same as the expression derived in Step-I.
As we do not have the value of r and p or r + p, the statement is insufficient to answer the question.
Step 5: Analyze Both Statements Together (if needed)
Since we have a unique answer from step 3, this step is not required.
Answer: A
Answer: A
Most Upvoted Answer
A company had 1000 employees at the beginning of the year 2011. If p p...
Understanding the Problem
To determine how many employees joined the company in 2011, we start with the following information:
- Initial employees: 1000
- Employees who left: p% of 1000
- Employees at the end of the year: 1000 + (r% of 1000)
Let's denote:
- Number of employees who left: (p/100) * 1000 = 10p
- Employees at the end of the year: 1000 + (r/100) * 1000 = 1000 + 10r
The number of employees who joined the company can be calculated as:
Employees Joined = Employees at the end - Employees at the beginning + Employees who left.
This leads to the equation:
Employees Joined = (1000 + 10r) - 1000 + 10p = 10r + 10p
Analyzing Statement (1)
- From Statement (1), we have p + r = 30.
- We can express r as (30 - p).
- Substituting this back into our equation for Employees Joined gives us:
Employees Joined = 10(30) = 300.
This statement alone is sufficient to determine the number of employees who joined.
Analyzing Statement (2)
- Statement (2) provides a condition about leaving and joining percentages.
- Although it gives a relationship, it does not provide specific values for p or r.
- Therefore, we cannot uniquely determine how many employees joined based solely on this statement.
Conclusion
- Statement (1) alone gives a clear answer regarding the number of employees who joined.
- Statement (2) lacks specific values and cannot answer the question on its own.
Thus, the correct answer is option 'A': Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
To determine how many employees joined the company in 2011, we start with the following information:
- Initial employees: 1000
- Employees who left: p% of 1000
- Employees at the end of the year: 1000 + (r% of 1000)
Let's denote:
- Number of employees who left: (p/100) * 1000 = 10p
- Employees at the end of the year: 1000 + (r/100) * 1000 = 1000 + 10r
The number of employees who joined the company can be calculated as:
Employees Joined = Employees at the end - Employees at the beginning + Employees who left.
This leads to the equation:
Employees Joined = (1000 + 10r) - 1000 + 10p = 10r + 10p
Analyzing Statement (1)
- From Statement (1), we have p + r = 30.
- We can express r as (30 - p).
- Substituting this back into our equation for Employees Joined gives us:
Employees Joined = 10(30) = 300.
This statement alone is sufficient to determine the number of employees who joined.
Analyzing Statement (2)
- Statement (2) provides a condition about leaving and joining percentages.
- Although it gives a relationship, it does not provide specific values for p or r.
- Therefore, we cannot uniquely determine how many employees joined based solely on this statement.
Conclusion
- Statement (1) alone gives a clear answer regarding the number of employees who joined.
- Statement (2) lacks specific values and cannot answer the question on its own.
Thus, the correct answer is option 'A': Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.
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A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer?
Question Description
A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer?.
A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer?.
Solutions for A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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Here you can find the meaning of A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A company had 1000 employees at the beginning of the year 2011. If p percent of the employees present at the beginning of the year left the company during the year and the number of employees at the end of the year was r percent greater than the number of employees at the beginning of the year, how many employees joined the company during the year 2011?(1) p + r = 30(2) Had the number of employees leaving the company been r percent of the employees at the beginning of the year and the number of employees at the end of the year been p percent greater than the number of employees at the beginning of the year, the number of employees who joined the company would have remained the same.a)Statement (1) ALONE is sufficient, but statement (2) alone isnot sufficient to answer the question asked.b)Statement (2) ALONE is sufficient, but statement (1) alone isnot sufficient to answer the question asked.c)BOTH statements (1) and (2) TOGETHER are sufficient toanswer the question asked, but NEITHER statement ALONEis sufficient to answer the question asked.d)EACH statement ALONE is sufficient to answer the questionasked.e)Statements (1) and (2) TOGETHER are NOT sufficient toanswer the question asked, and additional data specific to the problem are needed.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice GMAT tests.
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