A, B and C can complete a work in 10 days. They start together and 60% of the work is done by B and C. A worked only for 2 days with B and… — Answer & Discussion

A, B and C can complete a work in 10 days. They start together and 60% of the work is done by B and C. A worked only for 2 days with B and C and then left. B takes 20% less time than C. If Rs. 3000 is paid for whole work then find the share of B.

ARs. 1000
BRs. 800
CRs. 1200
DRs. 1500

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Discussion 1

CCommunity12 Jun 2019

As, B and C did 60% work,

So, A has done 40% work

⇒ Share of A = 40% of 3000 = Rs. 1200

⇒ Share of B and C = Rs. (3000 – 1200) = 1800

Now, B takes 20% less time than C,

⇒ Working efficiency of B and C are in the ratio = 5 ? 4 [? inverse of time ratio]

∴ Share of B = (5/9) × 1800 = Rs. 1000