Lysosomes

Lysosomal hydrolytic enzymes are active only at acidic pH and become inactive at alkaline pH.

The lysosome is a spherical organelle covered by a single membrane containing degradative enzymes ('suicidal bags'). The other organelles are double-membrane bound.

Lysosomes contain many hydrolytic enzymes, such as lipases, proteases, carbohydrases and nucleases.
These enzymes work best at an acidic pH (about 4.5–5) maintained inside the lysosome, so they are called acid hydrolases.
Protease and amylase are particular types of hydrolytic enzyme, not the general name; peroxidase is an oxidoreductase.
So hydrolytic enzymes acting at low pH are called hydrolases (acid hydrolases).

Lysosomes are membrane-bound vesicles formed from the Golgi apparatus.
They contain hydrolytic enzymes (acid hydrolases) such as lipases, proteases, carbohydrases and nucleases, which work at acidic pH and digest worn-out organelles, food particles and microbes.
So lysosomes contain hydrolytic enzymes.