Q.Bunny and Sunny are partners sharing profits in the ratio of 3 : 2. They admitted Chinni as a new partner for 1/6th share in future profits of the firm. Calculate the new profit sharing ratio.

Chinni's share = 1/6, so the remaining 5/6 is split 3:2 between Bunny and Sunny: Bunny 3/5 × 5/6 = 1/2, Sunny 2/5 × 5/6 = 1/3, Chinni 1/6. Taking a common denominator of 6 gives 3 : 2 : 1.

This is a standard AP Inter 2nd-year (Commerce) admission question, aligned with the NCERT/CBSE commerce curriculum.

Step 1 — Remaining share for old partners = 1 − 1/6 = 5/6.

Step 2 — Old partners keep their old ratio 3 : 2 of this remaining share.

• Bunny = 3/5 × 5/6 = 15/30 = 1/2
• Sunny = 2/5 × 5/6 = 10/30 = 1/3 …