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

  1. Rs. $375$
  2. Rs. $400$
  3. Rs. $600$
  4. Rs. $800$
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C's 1 day's work =

1/3−(1/6+1/8)=(1/3−7/24)=1/24

A:B:C=1/6:1/8:1/24=4:3:1

C′sShare=1/8∗3200=400
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