Kamal and Nirmal share profits in the ratio 4:3. Payal is admitted for a 1/7 share, which is given by the old partners in their old ratio. What is Payal's part in the final ratio?

Correct answer: 7

The governing concept is expressing every partner’s share with a common denominator while forming the final ratio. Payal’s admitted share is 1/7. The old partners retain 6/7, and this retained amount is divided between Kamal and Nirmal in their old ratio 4:3. Kamal therefore receives (6/7)×(4/7) = 24/49, while Nirmal receives (6/7)×(3/7) = 18/49. Payal’s share is converted to the same denominator: 1/7 = 7/49. Thus the final ratio is 24:18:7, so Payal’s numerical part is 7. Option A is correct. Option B is the unreduced fractional share, option C represents the old partners’ combined retained numerator, and option D incorrectly uses Kamal’s old ratio number.