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      Question

      A can do a certain work in 12 days, B alone can do the

      same work in 16 days. A and B undertook to complete it in Rs. 8000. With the help of C, they completed the work in 6 days. How much money (in Rs.) be paid to B?
      A 4000 Correct Answer Incorrect Answer
      B 3000 Correct Answer Incorrect Answer
      C 2000 Correct Answer Incorrect Answer
      D 1000 Correct Answer Incorrect Answer

      Solution

      Efficiency of A = 4 Efficiency of B = 3 Efficiency of A + B + C = 8 Efficiency of C = 8 – 4 – 3 = 1 Efficiency ratio of A, B and C = 4 : 3 : 1 4 + 3 + 1 = 8 unit 8 unit = 8000 ⇒ 1 unit = 1000 ⇒ 3 unit = 3000 ∴ Money paid to B = 3000.

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