Amar and Bahadur are partners in a firm sharing profits in the ratio of 3 : 2. They admitted Marry as a new partner for 1/4th share. The new profit-sharing ratio between Amar and Bahadur will be 2 1. Calculate their sacrificing ratio
Answers
Answer:
Share left after giving 1/4th to Mary = 1-1/4 = 3/4
Amars new share = 2/3 of 3/4 = 1/2
Bahadurs new share = 1/3 of 3/4 = 1/4
Sacrificing ratio = Old ratio - New ratio
Amars sacrificing ratio = 3/5 - 1/2 = 1/10 or 2/20
Bahadurs sacrificing ratio = 2/5 - 1/4 = 3/20
Their sacrificing ratio will be 2:3
Explanation:
★ Old Ratio :
Amar : Bahadur = 3 : 2
- Amar's share = 3/5
- Bahadur's share = 2/5
They admitted Marry as a new partner for 1/4th share.
Let,
Total profit of firm = 1
- Marry's share = 1/4
Remaining share =
1 - 1/4 = 3/4
★ New profit sharing ratio =
The new profit-sharing ratio between Amar and Bahadur will be 2 : 1.
Amar's new share =
2/3 × 3/4 = 6/12
Bahadur's new share =
1/3 × 3/4 = 3/12
Marry's share =
1/4 × 3/3 = 3/12
★ New profit sharing ratio =
- Amar : Bahadur : Marry
- 6/12 : 3/12 : 3/12
6 : 3 : 3 = 2 : 1 : 1
New profit sharing ratio = 2 : 1 : 1
★ Sacrifice Ratio = Old Ratio - New Ratio
Amar's sacrifice =
3/5 - 2/4 = (12 - 10)/20
2/20
Bahadur's sacrifice =
2/5 - 1/4 = (8 - 5)/20
3/20
Sacrifice Ratio =
Amar : Bahadur = 2/20 : 3/20
2 : 3
Therefore,
Sacrificing ratio =
Amar : Bahadur = 2 : 3.