Answer:

Partnership Agreement:
The partnership agreement mentioned in the question states that partners A and B will divide the profits of the business equally, but any loss incurred will be borne by partner A alone. This type of agreement is lawful.

Explanation:
In a partnership, the partners enter into an agreement to carry on a business together and share the profits and losses according to the terms of the partnership agreement. The agreement can be oral or written. In this case, the agreement specifies that profits will be divided equally between partners A and B, which means they will each receive an equal share of the profits.

However, the agreement also states that if there is any loss in the business, partner A will bear the entire loss alone. This means that partner B will not be responsible for any losses incurred by the business. While this may seem unfair to partner A, it is a valid provision in the partnership agreement.

Lawfulness of the Agreement:
The partnership agreement described in the question is lawful for the following reasons:

1. Freedom of Contract: Partnerships are based on the principle of freedom of contract, which allows partners to negotiate and agree on the terms of their partnership. As long as the agreement does not violate any laws, it is considered valid and enforceable.

2. Sharing of Profits and Losses: The agreement ensures that profits are shared equally between partners A and B, which is a fair and common practice in partnerships. This provision promotes cooperation and equal treatment between the partners.

3. Bearing of Losses: While it may seem unfair for partner A to bear all the losses alone, this provision is legally permissible. It is possible that partner A may have a higher risk tolerance or may have contributed more capital or expertise to the business, which justifies the unequal sharing of losses.

4. Consent of the Partners: It is assumed that partners A and B willingly entered into the agreement and agreed to its terms. As long as both partners are aware of and have consented to the terms of the agreement, it is considered lawful.

In conclusion, the partnership agreement described in the question is lawful because it is based on the principle of freedom of contract, ensures equal sharing of profits, and has the consent of both partners.