A water tank has steps inside it. A monkey is sitting on the top most step. (ie, the first step) The water level is at the ninth step.

(a) He jumps $3$ steps down and then jumps back $2$ step up. In how many jumps will he reach the water level?

(b) After drinking water, he wants to go back. For this, he jumps $4$ steps up and then jumps back $2$ steps down in every move. In how many jumps will he reach back the top step?