Dronzer Dragneel :
Well I there's no i3 4710..hope you mean 4170
and its i5 6500 who will win performance race every time, when you compare it with i3 CPU, talking about margin of performance its almost double, its about 4 core vs 2 core. So i5 is the winner here
No, this is incorrect. First off, doubling cores doesn't double performance;
if a given application can effectively make use of all cores, you may get
close to double performance. If the application can't make use of the extra threads, you may see no improvement. Secondly, the i3 has 4 threads due to hyperthreading, meaning it performs somewhere in between a dual core (pentium) and quad core (i5).
Is the i5 better? Yes. Is it (nearly) twice as good? Outside of maybe a handful of very specific situations, no.