Here is a link to the calculator developed by Deepayan Sarkar, which provides the new salary, with and without benefits of bunching (for quick comparison), when the old salary and AGP are given. It presently works for the faculty members only, but will hopefully be extended for everybody soon.

This post, written by Rudra Sarkar, provides the idea about benefits of bunching for those who are more mathematically inclined.

Statutory warning: The explanation given here describes the principle behind the bunching, but does not take care of the issue of rounding. So naive application may cause results to differ.

By salary in 6th CPC we shall mean ‘pay in pay band’+AGP. Colloquially ‘pay in pay band’ is called basic.

In 7th CPC, salary will mean the basic. There is no AGP in 7th CPC.

Annual increment in 6th CPC is 3%. Same is true for 7th CPC.

We assume you were an assistant professor, associate professor, a professor or a HAG in a CFTI institute on Jan 1, 2016. Your salary (pay in pay band+AGP) in 6 cpc was .

Locate your level (which is determined by your AGP), 6th CPC Entry Pay and the Index of Rationalization, from the Table below.

Position	6th CPC AGP	6th CPC Entry Pay,		Level
Asst Prof Grade II	6000	21600	2.67	10
Asst Prof Grade II	7000	25790	2.67	11
Asst Prof Grade I	8000	38000	2.67	12
Asst Prof Grade I	9000	49200	2.67	13A1
Assoc Prof	9500	52300	2.67	13A2
Professor	10000	53000	2.72	14
Professor	10500	58500	2.72	14A
HAG	HAG	67000	2.72	15

For any , define . So .

Step 1: Determine your Stage:

If , then your “stage” in 6th CPC is and if , then your stage is .

Suppose your stage in 6th CPC is . Then

Step2: Your salary in 7th CPC on Jan 1, 2016 is . Period.

Step 2 (Alternative): Use the 7th CPC pay matrix table: Go to the column corresponding to your level and then go to the line . That is your correct salary in 7th CPC on Jan 1, 2016. (This alternative Step 2 will take care of rounding off for 7th CPC.)

Basic reasoning here is that, in 6th CPC, you were in stage or higher, but below . So you should be in stage in 7th CPC. However, if you were below , you got an extra benefit as you were considered to be at stage .

To summarize, once again: Your salary was , but it will be mapped to in 6th CPC if . Your 7th CPC salary is then .

In the last post, we have already discussed bunching and illustrated how to derive benefit out of it through an illustration. This post provides a thumb rule to quickly calculate the benefit. (This method is equivalent to the benefit described in the August 2017 order, which we shall discuss in a later post.)

For illustration, we shall again use the rank of Assistant Professor Grade I with AGP 9000 and Level 13A1 at the Entry Pay 49200. Recall the cells in the corresponding column of the 7th CPC pay matrix are given by: 131400, 135300, 139400, 143600, 147900, 152300, 159600, 161600, 166400, 171400, 176500, 181800, 187300, 192900, 198700, 204700.

Method:

• Create stages in 6th CPC starting from Entry Pay, multiplying every time by 1.03 and rounding up to the nearest multiple of 10 larger than or equal to it.
• Count number of stages smaller than or equal to your old salary in 6th CPC.
• Your new salary in 7th CPC under fixation will be obtained by looking at the same numbered cell of your column in the 7th CPC pay matrix.
• However, if the old salary in 6th CPC is less than the 6th CPC Entry Pay, it will be fixed at the first cell of your column in the 7th CPC pay matrix.

For our example, the stages in the  6th CPC are obtained in the table below:

6th CPC Stages	Multiply by 1.03	Round up
49200	50676	50680
50680	52200.4	52210
52210	53776.3	53780
53780	55393.4	55400
55400	57062	57070
57070	58782.1	58790
58790	60553.7	60560
60560	62376.8	62380
62380	64251.4	64260
64260	66187.8	66190
66190	68175.7	68180
68180	70225.4	70230
70230	72336.9	72340
72340	74510.2	74520
74520	76755.6	76760

Note that the stage after 74520 is supposed to be at 76720, which is beyond the stagnation value of 76000 of this AGP and will not be considered.

Now consider the old 6th CPC salary 52500. As can easily be seen from the above table, there are 3 6th CPC stages below it. Hence the salary fixed after giving the bunching benefit will be 139400, the third cell in the corresponding pay matrix column given earlier. On the other hand, multiplying 52500 by 2.57 yields 134925 whose nearest larger cell in the relevant column of the pay matrix is 135300, which would have been the new salary without bunching benefit. Note that not giving bunching benefit causes a loss of 139400 – 135300 = 4100.

Note that the old 6th CPC salary above 74520 and till the stagnation salary 76000 will not create a separate stage as the gap with 74520 will be less than 3%. Those old values will be fixed at the same value as 74520, which can be checked as 198700.

You may have checked your fitment after benefits of bunching in the last blogpost. And you may now be wondering how did those fitments appear in the table? This blogpost tries to explain what bunching is. Calculation of benefits will be taken up in a followup post. It is written with the faculty members of CFTI in focus, but it should equally apply to everybody affected by 7th CPC.

To get started, you need a few documents giving the pay revision orders for different categories:

• Updated pay matrix as per CCS (RP) rules 2016
• UGC faculty members
• UGC Registrars, Finance Officers, Controllers of Examination
• UGC non-teaching staff
• CFTI faculty members
• CFTI non-teaching staff

You need to obtain the pay matrix from the order relevant for you and find the column corresponding to your level in the matrix. You shall also need the Entry Pay, which are available for the faculty members in their respective orders above, while for the rest, it can be obtained from the values of Entry Pay mentioned in Table 4 on Page 73 of the report of the 7th CPC.

Now you should have the relevant column of the 7th CPC pay matrix for your AGP/GP and the corresponding Entry Pay in 6th CPC. We shall illustrate for the Assistant Professor Grade I for CFTI with AGP 9000 corresponding to Level 13A1 and Entry Pay 49200. The corresponding cells are: 131400, 135300, 139400, 143600, 147900, 152300, 159600, 161600, 166400, 171400, 176500, 181800, 187300, 192900, 198700, 204700.

As per 7th CPC order, your salary in 7th CPC will be fixed by multiplying your old salary in 6th CPC by 2.57 and rounding off to the nearest multiple of 100. We shall illustrate the change for the following old salaries 47800, 49200, 50000, 50680, 52210. It is given in the table below:

6th CPC Salary	Multiply by 2.57	Next Larger Cell
47800	122846	131400
49200	126444	131400
50000	128500	131400
50680	130247.6	131400
52210	134179.7	135300

However, as you can see above, this causes a situation whereby two different salaries in 6th CPC gets mapped to the same new value. 7th CPC considers them to be bunching provided:

1. The salary is larger than or equal to the Entry Pay (49200 in the instant case)
2. Gap between two salaries in 6th CPC is more than 3% which corresponds to one increment.

Since 47800 is smaller than the Entry Pay 49200, this does not qualify for bunching. Again, the gap between 49200 and 50000 being less than 3% do not qualify for bunching, but 49200 and 50680, both being larger than or equal to the Entry Pay and at a gap larger than 3%, qualify for bunching. Further example may be found in Paragraph 5.1.37 on Page 80 of the report of the 7th CPC. Such a situation has been called bunching.

Bunching has been addressed by the 7th CPC itself and relevant order has been issued on 7th September 2016 and further clarified in the continuation order on 3rd August 2017. It requires the larger of two bunched salaries to be given an additional increment in 7th CPC. Thus while the first 3 rows of the above table gets fixed at 131400, the fourth one gets fixed at 135300. Note that this causes bunching again with fifth row, as 50680 and 52210 are more than 3% apart. So the fifth row will be fixed at the next cell 139400.

Some of you may not be interested in going through all the details of bunching, but are simply interested about what should be your correct fitment after getting the bunching benefits. For those – at least those who are faculty members in the CFTIs with AGP 8000, 9000, 9500, 10500 or HAG – simply look up your appropriate column in the table below based on your AGP.

Locate the row of your 6th CPC salary (sum of payband pay and AGP/GP) on the left subcolumn: if it is not there, choose the row containing the value just smaller than your old salary. The corresponding row on the right subcolumn will give your fitment.

For example, if you are an Assistant Professor Grade I with AGP 9000 and old 6th CPC salary 51500, then the row containing the value just smaller than yours will be the fourth one with value 50680. Hence your fitment will be 135300.

Rank	Assist Prof Grade I				Assoc Prof		Professor		Prof (HAG)
Level	12		13A1		13A2		14A		15
AGP	8000		9000		9500		10500		HAG
Entry Pay (6CPC)	38000		49200		52300		58500		67000
IoR	2.67		2.67		2.67		2.72		2.72
	6CPC	7CPC	6CPC	7CPC	6CPC	7CPC	6CPC	7CPC	6CPC	7CPC
	38000	101500	46400	131400	52300	139600	58500	159100	67000	182200
	39140	104500	47800	131400	53870	143800	60260	163900	69010	187700
	40320	107600	49200	131400	55490	148100	62070	168800	71090	193300
	41530	110800	50680	135300	57160	152500	63940	173900	73230	199100
	42780	114100	52210	139400	58880	157100	65860	179100	75430	205100
	44070	117500	53780	143600	60650	161800	67840	184500	77700	211300
	45400	121000	55400	147900	62470	166700	69880	190000	79000	211300
	46770	124600	57070	152300	64350	171700	71980	195700		217600
	48180	128300	58790	156900	66290	176900	74140	201600		224100
	49630	132100	60560	161600	68280	182200	76370	207600
	51120	136100	62380	166400	70330	187700	77500	207600
	52660	140200	64260	171400	72440	193300		213800
	54240	144400	66190	176500	74620	199100		220200
	55870	148700	68180	181800	76500	199100
	57550	153200	70230	187300		205100
	59280	157800	72340	192900		211300
	61060	162500	74520	198700
	62900	167400	76000	198700
				204700