**Liability of R as a Partner in the Firm**

In the given scenario, R is not a partner in a particular firm but represents himself or knowingly allows himself to be represented as a partner of that firm to Sanjay. Sanjay, on the basis of this representation, extends credit to the firm. The question arises whether R can be held liable as a partner in the firm.

To determine R's liability as a partner, we need to consider the principle of holding oneself out as a partner and its legal implications. Holding oneself out as a partner refers to the act of representing oneself as a partner or allowing others to believe that one is a partner in a particular business. This representation can be explicit or implied through one's actions or conduct.

**Representation of Partnership**

In this case, R represents himself or permits himself to be represented as a partner of the firm to Sanjay. This representation can be considered as an implied representation of partnership. Sanjay, on the faith of this representation, extends credit to the firm.

**Liability under Partnership Act**

According to the Partnership Act, if a person represents himself as a partner or knowingly permits himself to be represented as a partner, he can be held liable as a partner in the firm. This liability arises regardless of whether the person has actually been admitted as a partner in the firm or not.

**Justification of R's Liability**

In this case, R's actions of representing himself or allowing himself to be represented as a partner to Sanjay indicate his intention to be treated as a partner in the firm. By doing so, he creates a reasonable belief in Sanjay's mind that he is indeed a partner. As a result, Sanjay extends credit to the firm, relying on R's representation.

R's liability as a partner can be justified based on the principle of estoppel. Estoppel prevents a person from denying or contradicting his own previous statement or representation if another person has relied on it to their detriment. In this case, R's representation of partnership has induced Sanjay to extend credit to the firm, resulting in a detriment to Sanjay.

As a consequence, R can be held liable as a partner in the firm for the credit extended by Sanjay. This liability is based on the principle of holding oneself out as a partner and the doctrine of estoppel. R's representation creates a reasonable belief and reliance in Sanjay's mind, leading to his detriment.

In conclusion, R can be held liable as a partner in the firm due to his representation of partnership and the resulting credit extended by Sanjay.

,R is not liable as a partner of the firm as per section(6) of partnership act defines that partnership is cdeated by agreement, profit sharing, mutual agency, and business but there is nothing