Accountancy, asked by varshadhale908, 1 month ago

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

Answered by Equestriadash
3

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.

Answered by AllenGPhilip
4

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

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