Keshav, Nirmal and Pankaj are partners sharing profits and losses in the ratio of 4:3:2. Nirmal retires and the goodwill is valued at Rs. 72,000. Keshav and Pankaj decided to share future profits and losses in the ratio of 5: 3. Gaining Ratio of Keshav and Pankaj is:

13/24:11/24

The correct answer is Option (1) → 13/24:11/24.

Old ratio = 4:3:2 (Keshav, Nirmal and Pankaj)
Nirmal retires
New ratio = 5:3 (Keshav and Pankaj)

Gained share = New share - Old share

Gained share of Keshav = 5/8 - 4/9
                                   = (45- 32)/72
                                   = 13/72

Gained share of Pankaj = 3/8 - 2/9
                                   = (27- 16)/72
                                   = 11/72

Keshav : Pankaj = 13/72 : 11/72                   
                        = 13 : 11

Or as fractions of the whole:
Keshav: 13/(13+11) = 13/24
Pankaj: 11/(13+11) = 11/24

Gaining ratio = 13/24 : 11/24