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The current manager to Direct Report ratio in a company is 1:10. If 50 more Direct Reports are added, the ratio decreases by 50%. How many managers does the company have?
  • a)
    2
  • b)
    5
  • c)
    10
  • d)
    15
  • e)
    20
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The current manager to Direct Report ratio in a company is 1:10. If 50...
Step 1: Question statement and Inferences
Let the number of managers in the company be M
And the number of Direct Reports be D
It is given that M/D = 1/10
⇒  D = 10M ... Equation 1
When 50 more Direct Reports are added,
Number of Direct Reports = D’ = D + 50
So, the new manager: Direct Report ratio is  
Step 2: Finding required values
It is given that the new ratio is 50% less than the original ratio.
⇒ New Ratio = Original Ratio – 50% of Original Ratio
⇒ New Ratio = ½ (Original Ratio)
Step 3: Calculating the final answer
From Equation 1,
50 = 10M
⇒  M = 5
Therefore, the company has 5 managers.
Looking at the answer choices, we see that Option B is correct
 
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Most Upvoted Answer
The current manager to Direct Report ratio in a company is 1:10. If 50...
Given information:
Manager to Direct Report ratio = 1:10
Additional Direct Reports added = 50
Ratio decreases by 50%

To find:
Number of managers in the company

Solution:
Let the number of managers be 'M' and the number of Direct Reports be 'D'.

From the given information, we know that:
M/D = 1/10

After 50 more Direct Reports are added, the new number of Direct Reports becomes (D + 50). And the new ratio becomes (1/2) times the old ratio, i.e.,

M/(D + 50) = 1/20

Simplifying the above equation, we get:

M = D/10 ------(1)

M = (D + 50)/20 ------(2)

Equating (1) and (2), we get:

D/10 = (D + 50)/20

Solving the above equation, we get:

D = 500

Substituting the value of 'D' in equation (1), we get:

M = 50

Therefore, the company has 50 managers.

Answer: Option (B) 50.
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The current manager to Direct Report ratio in a company is 1:10. If 50 more Direct Reports are added, the ratio decreases by 50%. How many managers does the company have?a)2b)5c)10d)15e)20Correct answer is option 'B'. Can you explain this answer?
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