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Discussion

A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

  • A.Rs. 375
  • B.Rs. 400
  • C.Rs. 600
  • D.Rs. 800

Answer: B

C's 1 day's work = \(1/3 - (1/6+1/8) = 1/3 - 7/24 = 1/24\). Ratio of work A:B:C = 1/6 : 1/8 : 1/24 = 4:3:1. C's share = \(\frac{1}{8} \times 3200 = 400\). C gets Rs. 400.

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