Given:
A can do a work in 8 days.
B can do the same work in 10 days.
C can do the same work in 12 days.
All three of them do the same work together and they are paid Rs. 7400.
Formula used:
W = E × T Where, W = Work, E = Efficiency, and T = Time
Calculation:
Let the total work be a units
Work done by A in 1 day = a/8
Work done by B in 1 day = a/10
Work done by C in 1 day = a/12
Ratio of work done by A, B and C:
⇒ A : B : C = 1/8 : 1/10 : 1/12
⇒ A : B : C = 15 : 12 : 10
Total amount paid to them = Rs. 7400
Share of B = Rs. 7400 × (12)/(15 + 12 + 10)
Share of B = Rs. 7400 × (12)/(37)
Share of B = Rs. 2400
∴ The share (in Rs.) of B is 2400.