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Question
Asha and Nisha were partners in a firm sharing profits and losses in the ratio 3:1. Charu was admitted as a new partner for 1/4th share in the profits of the firm which she acquired equally from Asha and Nisha. The new profit sharing ratio of Asha, Nisha and Charu will be ______.
Options
3 : 1 : 4
1 : 1 : 2
5 : 1 : 2
1 : 2 : 1
Solution
Asha and Nisha were partners in a firm sharing profits and losses in the ratio 3:1. Charu was admitted as a new partner for 1/4th share in the profits of the firm which she acquired equally from Asha and Nisha. The new profit sharing ratio of Asha, Nisha and Charu will be 5: 1: 2.
Explanation:
Charu will acquire`1/4 xx 1/2 = 1/8` from each Asha & Nisha
New Share of Asha =`3/4 -1/8 =(6-1)/8 =5/8`
New Share of Nisha =` 1/4-1/8 = (2-1)/8 = 1/8`
New Share of Charu =`1/4 xx 2/2 = 2/8`
New Profit Sharing Ratio = 5 : 1 : 2
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