Apple and mangi are the partner sharing profits and losses in the ratio of 5/3 they admitted banaana in the partnership for 1/7 share in the future calculate the sacrific of ratio of apple and mango
Answers
Correct question:
Apple and Mango are partners sharing profits and losses in the ratio of 5:3. They admit Banana into the partnership for 1/7th share in the future profits. Calculate the sacrificing ratio of Apple and Mango.
Answer:
- Apple's old share = 5/8
- Mango's old share = 3/8
- Banana's share = 1/7
Let the total profit be assumed as 1.
The remaining share for Apple and Banana = 1 - 1/7 = 6/7.
The remaining share will be distributed among Apple and Banana in their old ratio.
Calculation of the new profit-sharing ratio:
New ratio = Old ratio × Remaining share
For Apple:
- New ratio = 5/8 × 6/7 = 30/56
For Mango:
- New ratio = 3/8 × 6/7 = 18/56
For Banana:
- New ratio = 1/7, or, 8/56
Therefore, the new profit-sharing ratio is 30:18:8 or 15:9:4.
Calculation of the sacrificing ratio:
Sacrificing ratio = Old ratio - New ratio
For Apple:
- 5/8 - 30/56 = (35 - 30)/56 = 5/56
For Mango:
- 3/8 - 18/56 = (21 - 18)/56 = 3/56
Therefore, the sacrificing ratio is 5:3.
Answer:
New ratio = 15:9:4
Sacrificing ratio = 5:3
Explanation:
Given:-
- Apple and mango are the partner sharing profits and losses in the ratio of 5:3
- A:B = 5:3
A = ⁵/₈ & B = ³/₈
- They admitted banana in the partnership for 1/7 share in the future
Required:-
- calculate the sacrificing of ratio of apple and mango
Solution:-
They admitted banana in the partnership for 1/7 share in the future
Total profit of the firm be 1
Remaining share
Total share - Banana's share
i.e. 1- ¹/₇
Remaining share = ⁶/₇
New profit sharing ratio
Apple new share
⁵/₈ × ⁶/₇ = ³⁰/₅₆
Mango new share
³/₈ × ⁶/₇ = ¹⁸/₅₆
Banana new share
¹/₇ × ⁸/₈ = ⁸/₅₆
∴ the new profit sharing ratio of Apple,Mango & Banana
Apple : Mango : Banana = ³⁰/₅₆ : ¹⁸/₅₆ : ⁸/₅₆
i.e. 30 : 18 : 8
New ratio = 15 : 9 : 4
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Calculation of Sacrificing ratio
We know that
Sacrificing ratio = Old share - new share
Apple sacrifice
⁵/₈ - ¹⁵/₂₈ = ⁽¹⁴⁰ ⁻ ¹²⁰⁾/₂₂₄ = ²⁰/₂₂₄
Mango Sacrifice
³/₈ - ⁹/₂₈ = ⁽⁸⁴ ⁻ ⁷²⁾/₂₂₄ = ¹²/₂₂₄
∴ Sacrificing ratio of Apple & Mango = 20 : 12
i.e. 5 : 3