Vijay and Sanjay are partners in a firm sharing profits and losses in the ratio of 3:2. They admitted Ajay into partnership with 1/4th share in profits. Ajay brings in Rs. 30,000 for capital and the requisite amount of premium in cash for goodwill. The goodwill of the firm is valued at Rs. 20,000. The new profit sharing ratio is 2:1:1. The sacrificing ratio of Vijay and Sanjay is:
Vijay and Sanjay are partners in a firm sharing profits and losses in the ratio of 3:2. They admitted Ajay into partnership with 1/4th share in profits. Ajay brings in Rs. 30,000 for capital and the requisite amount of premium in cash for goodwill. The goodwill of the firm is valued at Rs. 20,000. The new profit sharing ratio is 2:1:1. The sacrificing ratio of Vijay and Sanjay is:
Solution
Sacrificing Ratio = Old Ratio - New Ratio
Old Ratio:
Vijay : Sanjay = 3 : 2
Expressing in fractions:
- Vijay =
- Sanjay =
New Ratio:
Vijay : Sanjay : Ajay = 2 : 1 : 1
Expressing in fractions:
- Vijay =
- Sanjay =
- Ajay =
Calculating Sacrifice:
Vijay's sacrifice =
Sanjay's sacrifice =
Sacrificing Ratio =
Converting to simple ratio by multiplying both sides by 20:
=
= 2 : 3
The sacrificing ratio of Vijay and Sanjay is 2:3.
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