Assertion (A): X and Y were partners sharing profits in 2 : 1. Goodwill appeared in the books at ₹ 1,20,000. They admit Z as a new partner for \(\frac{1}{5}\) th share, which he acquired from X and Y in 3 : 2. Goodwill appearing in the books is not written off and was carried forward to the new Balance Sheet. Reason (R): Goodwill existing in the books is purchased goodwill and hence, is not written off. In the context of the above two statements, which of the following is correct?