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 D and F hired 15% more POS than their requirement. After one year, the total strength of the staff in both D and F was brought down to the original strength through retrenchment of some employees. By what percent is the retrenchment less/more in Bank D than in Bank F?

Correct Answer: 46.43% more in Bank D

Step-by-step Explanation:

1. Determine the vacant posts for Bank D and Bank F:
From Table 1 (Bank-wise Vacant Posts):
- Total vacant posts in Bank D = 820
- Total vacant posts in Bank F = 560

2. Find the requirement of Probationary Officers (PO) for each bank:
From Table 2 (Cadre-wise breakup), the percentage breakup for the PO cadre is 10% for all banks.
Now, calculate the PO requirement for Bank D:

$$\text{PO Requirement in Bank D}=10\%\text{of}820=\frac{10}{100}\times 820=82$$

Calculate the PO requirement for Bank F:

$$\text{PO Requirement in Bank F}=10\%\text{of}560=\frac{10}{100}\times 560=56$$

3. Calculate the number of excess POs hired (which equals the retrenchment size):
Both banks hired 15% more POs than their original requirement. To bring the staff strength back to the original size after one year, they had to retrench these excess employees. Therefore, the number of retrenched employees is equal to the 15% excess hired.
Calculate the retrenchment in Bank D:

$$\text{Retrenchment in Bank D}=15\%\text{of}82=\frac{15}{100}\times 82=12.3$$

Calculate the retrenchment in Bank F:

$$\text{Retrenchment in Bank F}=15\%\text{of}56=\frac{15}{100}\times 56=8.4$$

4. Compare the retrenchment in Bank D and Bank F:
We need to find by what percent the retrenchment in Bank D (12.3) is more/less than in Bank F (8.4):

$$\text{Difference}=12.3-8.4=3.9$$

Now, calculate the percentage increase relative to Bank F:

$$\text{Percentage More}=\frac{3.9}{8.4}\times 100\%$$

$$=\frac{390}{8.4}\%\approx 46.43\%$$

Thus, the retrenchment in Bank D is 46.43% more than in Bank F.