Multiple choice

A can do a piece of work in 16 days and B in 24 days. They take the help of C and three together finish the work in 6 days. If the total renumeration for the work is Rs. 400. The amount (in Rs.) each will receive, in proportion, to do the work is :

  1. A : 150, B : 100, C : 150

  2. A : 100, B : 150, C : 150

  3. A : 150, B : 150, C : 100

  4. A : 100, B : 150, C : 100
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A Correct answer
Explanation

A's work rate is 1/16, B's is 1/24. Together with C, their combined rate is 1/6, so C's rate = 1/16. The work ratio A:B:C is 1/16:1/24:1/16 = 3:2:3. In Rs. 400, A gets 150, B gets 100, C gets 150.

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