Total Working hours in a month for A = 160 hours
Let number of working days for A and B is '2x' and '3x' respectively.
Average working hours of B in a day = 'P' hours
Average working hours of E in a day = 'P + 5' hours
Number of working days for C = (3x + 1)
Let average working hours in day for A and D is 'y' each.
Number of working days for D = 2y
Total Working hours for D = 2y * y = 160 * (5/4)
2y2 = 200
y2 = 100
y = 10
For employee A:
2x * 10 = 160
x = 8
Let total working hours for B and C is '6z' and '10z' respectively.
Employee | Number of working days | Average working hours | Total working hours |
A | 16 | 10 | 160 |
B | 24 | P | 6z |
C | 25 | ---- | 10z |
D | 20 | 10 | 200 |
E | ---- | (P + 5) | ---- |
Employee D:
Basic salary = 250 * 200 = Rs.50000
DA = 40% of 50000 = Rs.20000
Basic salary including DA = 50000 + 20000 = Rs.70000
Employer contribution in EPF = 12% of 70000 = Rs.8400
Employer contribution in EPF = 12% of 70000 - 8.33% of 15000 = 8400 - 1249.5 = Rs.7150.5
Total EPF = 8400 + 7150.5 = 15550.5
Employee C:
Total EPF = 15550.5 + 1200 = Rs.16750.5
Employee contribution + Employer contribution = 16750.5
Let Employee contribution = 'C'
C + C - 8.33% of 15000 = 16750.5
2C = 16750.5 + 1249.5
C = 9000
Basic salary including DA = 9000 * (100/12) = Rs.75000
Let basic salary without DA = M
Case 1:
M + 40% of M = 75000
M = 53571 (Approx)
250 * Total working hours = 53571
Total working hours for C = 214 (Approx)
Average working hours in a day for C = 214/25 = 8.57 (Invalid. Since, average working hours can't be less than 9).
Case 2:
M + 20% of M = 75000
M = Rs.62500
250 * Total working hours = 62500
Total working hours for C = 250
Average working hours in a day for C = 250/25 = 10
Total working hours for B = 60% of 250 = 150
Average working hours in a day for B = P = 150/24 = 6.25
Average working hours in a day for E = (P + 5) = 11.25
Required average = (10 + 6.25 + 10 + 10 + 11.25)/5 = 9.5 hours