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$\text{A, B}$ and $\text{C}$ can independently do a work in $15$ days, $20$ days and $30$ days, respectively. They work together for some time after which $\text{C}$ leaves. $\text{A}$ total of  $₹18000$ is paid for the work and $\text{B}$ gets $₹6000$ more than $\text{C}$. For how many days did $\text{A}$ work?

  1. $2$
  2. $4$
  3. $6$
  4. $8$
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