Raju can complete a piece of job in 15hours, Vinay in 20hours and Vardhan in 30hours. If they work together and they are paid Rs. 7,200 for the job, then what amount would Vinay receive?

Wages are distributed in the ratio of the work done or efficiency of the individuals when they work for the same duration.
Let's find the total work by taking the LCM of the time taken by each:

LCM(15,20,30)=60units (Total Work)
Now, find the efficiency (work per hour) of each person:

Efficiency of Raju=
15
60
​
=4
Efficiency of Vinay=
20
60
​
=3
Efficiency of Vardhan=
30
60
​
=2
The ratio of their efficiencies is:

Raju:Vinay:Vardhan=4:3:2
Total ratio shares = 4+3+2=9
Total wage = Rs. 7,200

Vinay's share can be calculated as:

Vinay’s Share=
9
3
​
×7200=
3
1
​
×7200=Rs. 2,400