To complete a given task. Imran takes 11 days, Tahir takes 15 days, and Amla takes 13 days. Working together, they finish the task and get ₹2,012. What will be the share of Imran provided the daily wage is the same for all?

Imran takes 11 days to complete the task.

Tahir takes 15 days to complete the task.

Amla takes 13 days to complete the task.

Total payment = ₹2,012.

If the daily wage is the same for all, the share of each worker is proportional to the number of days they worked when completing the task together. 

LCM of 11, 15, 13 is 2145 

So, Imran efficiency = $$\frac{2145}{11} = 195$$ 

Tahir efficiency = $$\frac{2145}{15} = 143$$ 

Amla efficiency = $$\frac{2145}{13} = 165$$ 

Now the share of Imran = $$\frac{2012}{195+143+165} \times 195 = ₹780$$ ​