8 times $A$’s share = 12 times $B$’s share = 6 times $C$’s share
Note that this is not the same as the ratio of their wages being $8:12:6$
In this case, find out the L.C.M of 8, 12 and 6 and divide the L.C.M by each of the above numbers to get the ratio of their respective shares.
The L.C.M of 8, 12 and 6 is 24.
Therefore, the ratio $A:B:C$ is
The sum of the total wages
$9x=432$ or $x=48$.
Hence $A$ gets $3×48$= Rs \(144\)
Edit: For an alternative solution, check comment by Sravan Reddy.