Question :
Channi, Manni and Amar are partners sharing profits and losses in the ratio of 4:3:2. Amar retires from the business. Channi acquires 4/9th of Amar's share and the balance is acquired by Manni. The new profit-sharing ratio of Channi and Manni is
Option 1: NPSR 44:37 and gaining Ratio 4:5
Option 2: NPSR 22:37 and Gaining Ratio 5:4
Option 3: NPSR 44:37 and gaining ratio is 4:2
Option 4: None of the above
Correct Answer: NPSR 44:37 and gaining Ratio 4:5
Solution : Answer = NPSR 44:37 and gaining Ratio 4:5
Amar's profit share is 2/9. Channi acquires 4/9th of 2/9, i.e.f 4/9 × 2/9 = 8/81.
The remaining profit share, i.e., 29 - 881 = 1081 is acquired by Manni.
Therefore, Gaining Ratio of Channi and Manni = 881: 1081 = 8:10 or 4: 5.
New Profit shares of Channi and Manni will be:
Charmi = 49 + 881 = 36 + 8 81 = 4481 ; Marmi = 39 + 1081 = 27 + 10 81 = 3781
Hence, the New Profit-sharing Ratio of Channi and Manni will be 44: 37.
Hence, the correct option is 1.
