Solution:Total number of employees working in day shift in all the three companies together = 108 × 3 = 324
Let number of employees working in day shift in company A and company C are 2x and x respectively.
Number of employees working in day shift in company B
= 324 - 2x - x = (324 - 3x)
Total employees working in both the shifts together in company B = 270
Number of employees working in night shift in company B
= 270 - (324 - 3x) = (3x - 54)
Total employees working in both the shifts together in company C = 270
Number of employees working in night shift in company C
= (270 - x)
According to the question:
(3x - 54) : (270 - x) = 9 : 11
(x - 18) : (270 - x) = 3 : 11
11x - 198 = 810 - 3x
14x = 1008
x = 72
Number of employees working in day shift in company A
= 2x = 144
Number of employees working in day shift in company B
= 324 - 3x = 108
Number of employees working in day shift in company C
= x = 72
Number of employees working in night shift in company B
= 3x - 54 = 162
Number of employees working in night shift in company C
= 270 - x = 198
Number of employees working in night shift in company A
= 162 - 66 = 96
Companies | Number of employees working in day shift | Number of employees working in night shift
A | 144 | 96
B | 108 | 162
C | 72 | 198
Number of employees working in day shift in company A = 144
Number of employees working in night shift in company C = 198
Required ratio = 144 : 198 = 8 : 11