Understanding Bank Vacant Posts and Cadre Breakup

The problem provides data on the total number of vacant posts across six different Banks (A to F) and the percentage breakup of required personnel in six different cadres (ITO, AFO, LO, FE, TO, PO). We are told that the percentage breakup by cadre is the same for all six banks. We need to use this information to solve a specific scenario involving the recruitment and movement of IT Officers (ITOs) in Banks A and C.

Initial Recruitment of IT Officers (ITOs)

First, let's determine the number of IT Officers required in Banks A and C based on the given vacant posts and the cadre percentage breakup for ITOs.

From Table 2, the percentage breakup for IT Officers (ITO) is 11%.

Initial number of IT Officers required in Bank A:

\( \text{Initial ITOs in Bank A} = 11\% \text{ of } 800 \)

\( \text{Initial ITOs in Bank A} = \frac{11}{100} \times 800 \)

\( \text{Initial ITOs in Bank A} = 11 \times 8 = 88 \)

Initial number of IT Officers required in Bank C:

\( \text{Initial ITOs in Bank C} = 11\% \text{ of } 600 \)

\( \text{Initial ITOs in Bank C} = \frac{11}{100} \times 600 \)

\( \text{Initial ITOs in Bank C} = 11 \times 6 = 66 \)

So, initially, Bank A recruited 88 IT Officers, and Bank C recruited 66 IT Officers.

Scenario: IT Officers Leaving Bank A and Joining Bank C

The problem states that after the initial recruitment, some of the newly employed IT Officers left Bank A and joined Bank C. Let's denote the number of IT Officers who left Bank A as \( x \).

After \( x \) officers leave Bank A, the number of IT Officers remaining in Bank A will be:

\( \text{ITOs in Bank A after movement} = \text{Initial ITOs in Bank A} - x \)

\( \text{ITOs in Bank A after movement} = 88 - x \)

These \( x \) officers join Bank C. The number of IT Officers in Bank C will then be:

\( \text{ITOs in Bank C after movement} = \text{Initial ITOs in Bank C} + x \)

\( \text{ITOs in Bank C after movement} = 66 + x \)

Finding the Number of Officers Who Left Bank A

The problem states that after the movement, the number of new recruits of IT Officers in Bank A and Bank C have now become equal. We can set up an equation based on this information:

\( \text{ITOs in Bank A after movement} = \text{ITOs in Bank C after movement} \)

\( 88 - x = 66 + x \)

Now, let's solve for \( x \):

Add \( x \) to both sides of the equation:

\( 88 = 66 + 2x \)

Subtract 66 from both sides:

\( 88 - 66 = 2x \)

\( 22 = 2x \)

Divide both sides by 2:

\( x = \frac{22}{2} \)

\( x = 11 \)

So, 11 IT Officers left Bank A and joined Bank C.

Calculating the Percentage of Recruits Who Left Bank A

The question asks for the percentage of new recruits who left Bank A. The percentage is calculated with respect to the initial number of recruits in Bank A.

\( \text{Percentage left from Bank A} = \left( \frac{\text{Number of officers who left Bank A}}{\text{Initial ITOs in Bank A}} \right) \times 100\% \)

\( \text{Percentage left from Bank A} = \left( \frac{11}{88} \right) \times 100\% \)

\( \text{Percentage left from Bank A} = \left( \frac{1}{8} \right) \times 100\% \)

\( \text{Percentage left from Bank A} = 0.125 \times 100\% \)

\( \text{Percentage left from Bank A} = 12.5\% \)

Therefore, 12.5% of the new recruits left Bank A.

Summary of Steps

• Calculated the initial number of IT Officers (ITOs) required in Bank A and Bank C based on vacant posts and the 11% cadre breakup for ITOs.
• Set up an equation representing the scenario where \( x \) officers leave Bank A and join Bank C, resulting in an equal number of ITOs in both banks.
• Solved the equation to find the value of \( x \), the number of officers who moved.
• Calculated the percentage of officers who left Bank A relative to the initial number of ITOs in Bank A.

Revision Table: Bank Recruitment Data Analysis

Additional Information: Percentage Calculations in Data Interpretation

Percentage calculations are very common in data interpretation problems. Understanding how to calculate percentages, percentage increase, percentage decrease, and percentage point difference is crucial. In this problem, we calculated a simple percentage of one quantity relative to another original quantity.

• A percentage is a fraction of 100. For example, 11% is \( \frac{11}{100} \).
• To find a percentage of a number, convert the percentage to a decimal or fraction and multiply by the number.
• When calculating the percentage change (increase or decrease), the base value is usually the original value before the change.
• In scenarios involving movement or transfer, the total number of individuals across the involved groups might remain constant (if none are added or removed from the overall system), but the distribution changes.

This question combined data extraction from tables with basic algebraic equation solving and percentage calculation, which are typical skills tested in quantitative aptitude sections.