Indu and Ramadhir can complete a task in $25$ days and $50$ days respectively. How long would Indu take to complete the task if Ramadhir assists her every second day $?$

Taking the LCM of 25 and 50 as the total work gives 50 units, meaning Indu does 2 units per day and Ramadhir does 1 unit per day. Working every second day means they do 3 units together on day two, so their two-day cycle work is 2 plus 3, equaling 5 units. They complete the 50 units of work in exactly 10 such cycles. Since each cycle is two days, the total time taken is 10 times 2 days, resulting in 20 days. The stated correct option of 20 days assumes the question asks for total completion time rather than Indu's solo working days.

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