These are the options for the Question: Mini and Mansi are partners sharing profits in the ratio of 4: 3. They admitted Nisha as a new partner for 3/7! share in profits which she acquired 2/7th from Mini and 1/7 from Mansi. The new
profit sharing ratio of Mini, Mansi and Nisha will be :
(A) 4:3:3 (B) 5:3:2
(C) 2:3:5 (D) 2:2:3
The correct answer is –
To find the new profit sharing ratio of Mini, Mansi, and Nisha, we need to calculate their new profit sharing ratio after Nisha’s admission.
Let’s first calculate how much share of the profits Nisha acquired from the existing partners:
From Mini, Nisha acquired 2/7 of the share, which means her share will be (2/7) x 4 = 8/7 From Mansi, Nisha acquired 1/7 of the share, which means her share will be (1/7) x 3 = 3/7
Now let’s calculate the total share of profits that will be shared among the three partners:
Total share = Mini’s share + Mansi’s share + Nisha’s share Total share = 4 + 3 + 8/7 + 3/7 Total share = 28/7 + 21/7 + 8/7 + 3/7 Total share = 60/7
Now let’s calculate the new profit sharing ratio of Mini, Mansi, and Nisha:
Mini’s new share = 4/7 Mansi’s new share = 3/7 Nisha’s new share = (8/7 + 3/7) / (60/7) = 11/20
Therefore, the new profit sharing ratio of Mini, Mansi, and Nisha will be 4:3:11/20 or we can also simplify it to 20:15:11.
Multiplying all the terms by 4, we get 80:60:44, which can be simplified as 40:30:22.
Hence, the correct answer is (D) 2:2:3.
