A, b and c, each of them working alone can complete a job in 6, 8 and 12 days respectively. if all three of them work together to complete a job and earn rs.2340, what ill be c's share of the earnings?
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A can complete the work in 6 days
⇒ 1 day = 1/6 of the work
B can complete the work in 8 days
⇒ 1 day = 1/8 of the work
C can complete the work in 12 days
⇒ 1 day = 1/12 of the work
Find their ratio:
Ratio of A : B : C = 1/6 : 1/8 : 1/12
Multiply by 24 through:
Ratio of A : B : C = 4 : 3 : 2
Solve x:
Ratio of A : B : C = 4x : 3x : 2x
4x + 3x + 2x = 2340
9x = 2340
x = 260
Find each of their share:
A = 4x = 4(260) = Rs 1040
B = 3x = 3(260) = Rs780
C = 2x = 2(260) = Rs 520
Answer: C's share is Rs 520
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