The rule makes a master answerable for acts his servant does in the course of duty. Y was X's property in-charge, authorised to receive material and issue receipts, and Y received the full quantity of cement from Z but later misused part of it. Let's examine each option.
Because Y received the entire consignment while acting within his authority as X's property in-charge, X bears responsibility for the full payment, and any loss from Y's later misuse is a matter between X and Y.
Therefore, the correct answer is X is liable for the entire amount.
When a business holds an employee out as the person authorised to receive goods and sign for them, third parties are entitled to rely on that appearance of authority, whether or not the employee later behaves honestly with what he received. Applying this idea of apparent authority to the facts, Y was X's property in-charge, so Z was entitled to treat Y's receipt as binding on X.
Because Y's position gave him the apparent authority to receive the entire delivery on X's behalf, and Z relied on that authority, X is bound for the full payment regardless of what became of the goods afterward.
Therefore, the correct answer is X is liable for the entire amount.