The following Table-1 and Table-2
Show the breakup of 4170 vacant posts in six Banks A-F, and the percentage (%) breakup of the requirement of personnel in six different cadres in a Bank, namely, IT officers (ITO), Agricultural Field Officers (AFO), Law Officers (LO), Finance Executives (FE), Technical Officers (TO) and Probationary Officers (PO), respectively. Assume that these percentages are the same for all the six Banks. Based on the data in the tables, answer the questions.
Tables 1: Bank-wise Vacant Posts
| Bank | Bank Number of Vacant Posts |
| A | 800 |
| B | 940 |
| C | 600 |
| D | 820 |
| E | 450 |
| F | 560 |
Table 2:
| Cadre in a Bank |
Breakup (%) |
| ITO | 11% |
| AFO | 35% |
| LO | 10% |
| FE | 26% |
| TO | 8% |
| PO | 10 |
Banks A and C recruited ITOS as per given requirement. After few days, some of the newly employed ITOS Bank A and joined Bank C1. The number of new recruits of ITOS in Bank A and Bank C have now become equal. The percentage of new recruits who left Bank A is
12.5%
22.5%
39%
78%
12.5%
The correct option is 12.5%.
Let us break down the solution step-by-step:
Step 1: Calculate the initial number of ITOs recruited by Bank A and Bank C
From Table-1, the total number of vacant posts in Bank A is 800, and in Bank C is 600.
From Table-2, the requirement of IT Officers (ITO) in any bank is 11% of its total vacant posts.
The number of ITOs initially recruited by Bank A is:
The number of ITOs initially recruited by Bank C is:
Step 2: Find the number of ITOs who transferred from Bank A to Bank C
Let be the number of ITOs who left Bank A and joined Bank C.
After this transfer, the number of ITOs in both banks became equal. Therefore, we can write the equation:
Solving for :
Thus, 11 ITOs left Bank A to join Bank C.
Step 3: Calculate the percentage of new recruits who left Bank A
The percentage of ITO recruits who left Bank A is calculated as the ratio of those who left to the initial number of ITO recruits in Bank A, multiplied by 100:
Simplifying the fraction: