Given
25 % of the employees of department A took part in function
Participants from department A were 500
16 % of the employees of the department B took part in a function
252 employees of the department B did not take part in the function
Let the number of employees of the department A be a
Number of participants of department A = 25 % of a
Also,
Number of participants of department A = 500
Therefore,
25 % of a = 500
25/100 × a = 500
a/4 = 500
a = 500 × 4
a = 2000
Let the number of participants of department B be b
Number of participants of department B = 16 ℅ of b = 16/100 × b = 4b/25
Number of employees of department B did not take part in the function = Number of employees of department B - Number of participants of department B
Also given,
Number of employees of department B did not take part in the function = 252
Therefore,
b - 4b/25 = 252
( 25b - 4b ) /25 = 252
21b/25 = 252
b = 252 × 25/21
b = 12 × 25
b = 300
Total number of employees in department A and department B = a + b = 2000 + 300 = 2300
Hence the total number of employees in A and B departments are (b) 2300.