NH4Cl is a strong electrolyte hence, dissociates completely, NH4OH is a weak electrolyte. Its dissociation is further suppressed by common ion NH+4 provided by NH4Cl in the solution.
NH4Claq⇌NH+4aq+Cl−aq
NH4OHaq⇌NH+4aq+OH−aq
This solution acts as a basic buffer and maintains its pH around 9.25. It is capable of resisting the change in pH on addition of small amount of acid or alkali.
To Explain:
If a small amount of HCl is added to this solution, H+ ions of HCl get neutralized by OH− ions already present and more of NH4OH molecules get ionized to compensate loss of OH− ions. Thus pH practically, remains constant.
If a small amount of NaOH is added to this solution, OH− ions of NaOH combine with NH+4ions already present in large number forming weakly ionized NH4OH. Thus, pH of solution remains practically unchanged.