Step 1: Understanding the Concept:
Polythene comes in two main forms. Low density polythene (LDPE) is flexible and has branched chains. High density polythene (HDPE) has linear chains packed closely, so it is rigid and strong.
Step 2: Detailed Explanation:
Shampoo bottles need a firm, chemical-resistant container that keeps its shape, which suits HDPE. HDPE is also used for buckets, pipes, toys and milk bottles.
Step 3: Why the other options are wrong.
LDPE (B) is soft and used for squeeze bags, films and flexible containers. PP (C), polypropylene, is used for ropes, bottle caps and crates. PS (D), polystyrene, is used for disposable cups and insulation, and is brittle.
Final Answer:
HDPE is used for shampoo bottles, option (A).
\[ \boxed{\text{HDPE (A)}} \]