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Assertion (A): A and B are partners sharing profits in 3 : 2. They admit C into the partnership, which he takes \(\frac{1}{6}\) th from A and \(\frac{1}{12}\) th from B. Goodwill existed in their books at ₹ 60,000. C brought ₹ 1,50,000 as premium for goodwill, and after adjusting the existing goodwill of ₹ 60,000, the balance of ₹ 90,000 was distributed between A and B in the ratio 2 : 1. Reason (R): Goodwill of ₹ 60,000 existing in the books was written off in the old ratio, and ₹ 1,50,000 brought in by C was distributed in a sacrificing ratio of 2 : 1. In the context of the above two statements, which of the following is correct?

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