If $A$, $B$ and $C$ can do a piece of work in $8$, $10$, $12$ days respectively. They started working together. After working for $1$ day $A$ left the work while after $2$ days $A$ joins & $B$ left the work. After $3$ days $B$ joins and $C$ left the work. There is a holiday after $4$ days and $5th$ day they started working together. In how many days work would be finished?
From the calculations I did I got the answer as $9/37$ but it is not present in the multiple choice questions answer list. So I am a bit confused here if I am missing something which is causing me to get the wrong answer.
Here are the Ans to be opted from -