If you are given with a force of magnitude 25 N acting on a body of mass 2 kg increases its kinetic energy from 100 J to 200 J. The displacement of the body during this interval is

Work done by the force would be equal to the change in kinetic energy of the body. The change in kinetic energy is equal to 100 J and we know that: 

Work done = Force x Displacement.

Therefore, 100 = 25 x displacement. So, from here we have displacement = 4m.