Anil is 12.5 percent more efficient than Sachin. If Sachin alone can finish a work in 10 days, then in how many days will Anil alone finish the same work?

(80/9) days 

Since, Anil is 12.5% more efficient than Sachin,

                    Anil  :  Sachin

Efficiency       9     :    8

Time taken to do a work ∝ $\frac{1}{efficiency}$

Time taken    8     :    9

Time taken by Sachin = 10 days,

Then time taken by Anil = $\frac{10}{9}$ x 8 = $\frac{80}{9}$ days