A = x B or, B = x A
C = x A
A = x D, or D = x A
E = x A
In order for the amounts earned by A, B, C, D and E to be integers, the amount earned by A should be a multiple of 4, 5 and 6. Or, the amount earned by A should be a multiple of 60. The only multiple of 60 that is a 2–digit number is 60.
So, if A earns Rs. 60, B should earn Rs. 48. C should earn Rs. 75, D should earn Rs. 50 and E should earn Rs. 72.
The total income earned by all 5 of them should be equal to Rs. 60 + Rs. 48 + Rs. 75 + Rs. 50 + Rs. 72
=> Rs. 305
Answer Choice (C)
Correct Answer: Rs. 305