Comprehension

Directions: Read the data carefully and answer the questions that follow:

The following line graph shows the percentage of total employees working as a manager in Alexis Finance Limited, for the time period from the year 2003 to the year 2007. 

(Note: Total number of employees = Managers + Workers)

The table shows the ratio of the number of male to female managers within the company.

Year Male ∶ Female
2003 3 ∶ 2
2004 2 ∶ 1
2005 5 ∶ 3
2006 2 ∶ 3
2007 8 ∶ 5

If it is known that the number of employees is the same for all the five years. Then what will be the percentage decrease in the number of male managers from the year 2005 to the year 2006?

This question was previously asked in
IBPS PO Mains Memory Based Paper (Held on:04 February 2021)
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  1. 12%
  2. 25%
  3. 42%
  4. 60%
  5. 50%

Answer (Detailed Solution Below)

Option 4 : 60%
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IBPS PO 2024 Prelims Full Test 1
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Detailed Solution

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Let the number of employees in the company during each of the year be x

So, the number of managers in the year 2005 = (80/100)x = 0.8x

Among them, the number of male managers = (5/8) × 0.8x = 0.5x

Similarly,

So, the number of managers in the year 2006 = (50/100)x = 0.5x

Among them, the number of male managers = (2/5) × 0.5x = 0.2x

So, the percentage decrease in the number of male managers = [(0.5x – 0.2x)/0.5x] × 100 = 60%

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