Question

A and B are partners sharing profits in the ratio
of 3:2. They admit C for a share which equals
20 paise in a rupee. Calculate new profit sharing
ratio and sacrificing ratio.
New profit sharing ratio =12:8:5
Sacrificing ratio=3:2​

Answer 1

Answer:

Old ratio (A and B) = 3 : 2

Old ratio (A and B) = 3 : 2C is admitted for 1/5 th share

Old ratio (A and B) = 3 : 2C is admitted for 1/5 th shareA's sacrifice in favour of C = (1/5) * (1/2) = (1/10)

Old ratio (A and B) = 3 : 2C is admitted for 1/5 th shareA's sacrifice in favour of C = (1/5) * (1/2) = (1/10)B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)

Old ratio (A and B) = 3 : 2C is admitted for 1/5 th shareA's sacrifice in favour of C = (1/5) * (1/2) = (1/10)B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)New ratio = Old ratio - Sacrificing ratio

Old ratio (A and B) = 3 : 2C is admitted for 1/5 th shareA's sacrifice in favour of C = (1/5) * (1/2) = (1/10)B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)New ratio = Old ratio - Sacrificing ratioA's new ratio = (3/5) - (1/10) = 5/10 or 1/5

Old ratio (A and B) = 3 : 2C is admitted for 1/5 th shareA's sacrifice in favour of C = (1/5) * (1/2) = (1/10)B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)New ratio = Old ratio - Sacrificing ratioA's new ratio = (3/5) - (1/10) = 5/10 or 1/5B's new share = (2/5) - (1/10) = 3/10

Old ratio (A and B) = 3 : 2C is admitted for 1/5 th shareA's sacrifice in favour of C = (1/5) * (1/2) = (1/10)B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)New ratio = Old ratio - Sacrificing ratioA's new ratio = (3/5) - (1/10) = 5/10 or 1/5B's new share = (2/5) - (1/10) = 3/10C's share = A's sacrifice + B's sacrifice

Old ratio (A and B) = 3 : 2C is admitted for 1/5 th shareA's sacrifice in favour of C = (1/5) * (1/2) = (1/10)B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)New ratio = Old ratio - Sacrificing ratioA's new ratio = (3/5) - (1/10) = 5/10 or 1/5B's new share = (2/5) - (1/10) = 3/10C's share = A's sacrifice + B's sacrifice = (1/10) + (1/10)

Old ratio (A and B) = 3 : 2C is admitted for 1/5 th shareA's sacrifice in favour of C = (1/5) * (1/2) = (1/10)B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)New ratio = Old ratio - Sacrificing ratioA's new ratio = (3/5) - (1/10) = 5/10 or 1/5B's new share = (2/5) - (1/10) = 3/10C's share = A's sacrifice + B's sacrifice = (1/10) + (1/10) = 2/10

Old ratio (A and B) = 3 : 2C is admitted for 1/5 th shareA's sacrifice in favour of C = (1/5) * (1/2) = (1/10)B's sacrifice in favour of C = (1/5) * (1/2) = (1/10)New ratio = Old ratio - Sacrificing ratioA's new ratio = (3/5) - (1/10) = 5/10 or 1/5B's new share = (2/5) - (1/10) = 3/10C's share = A's sacrifice + B's sacrifice = (1/10) + (1/10) = 2/10Therefore, new profit sharing ratio of A, B and C is 5 : 3 : 2

Explanation:

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Answer 2

Answer:

New Profit Sharing ratio =

• A : B : C

• 12 : 8 : 5

Sacrifice ratio becomes =

• A : B

• 3 : 2

Explanation:

Old Ratio =

A : B

3 : 2

• A = $\dfrac{3}{5}$

• B = $\dfrac{2}{5}$

★ They admit C for a share which equals 20 paise in a rupee

So,

C = $\dfrac{20}{100} = \dfrac{1}{5}$

New profit sharing ratio :

Let,

Total Share of Profit = 1

C's Share = $\dfrac{1}{5}$

Remaining share =

$1 - \dfrac{1}{5} = \dfrac{4}{5}$

A's new Share = $\dfrac{4}{5} \times \dfrac{3}{5} = \dfrac{12}{25}$

⇒ $\dfrac{12}{25}$

B's new Share = $\dfrac{4}{5} \times \dfrac{2}{5} = \dfrac{8}{25}$

⇒ $\dfrac{8}{25}$

C's Share = $\dfrac{20}{100} = \dfrac{5}{25}$

⇒ $\dfrac{5}{25}$

New Profit Sharing ratio =

• A : B : C

• 12 : 8 : 5

___________________________

Sacrifice ratio :

Sacrifice ratio = Old ratio - New ratio

A's Sacrifice  = $\dfrac{3}{5} - \dfrac{12}{25} = \dfrac{3}{25}$

⇒ $\dfrac{3}{25}$

B's Sacrifice = $\dfrac{2}{5} - \dfrac{8}{25} = \dfrac{2}{25}$

⇒ $\dfrac{2}{25}$

Sacrifice ratio becomes =

• A : B

• 3 : 2

Therefore,

New Profit Sharing ratio =

A : B : C = 12 : 8 : 5

Sacrifice ratio becomes =

A : B = 3 : 2