Question

Akshay and Bharati are partners sharing profits in the ratio of 3:2. They admit Dinesh as a new partner for 1/5th share in the future profits of the firm which he gets equally from Akshay and Bharati. Calculate new profit sharing ratio of Akshay, Bharati and Dinesh.
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Answer 1

Answer:

Balance= 1 - 1/5= 5-1/5=4/5

new ratio = old ratio * balance

akshay = 3/5 * 4/5 =12/25

bharati = 2/5 * 4/5=8/25

dinesh=1/5 * 5/5 = 5/25

12:8:5

Explanation:

Answer 2

Answer:

New Profit Sharing Ratio :

Akshay : Bharati : Dinesh = 5 : 3 : 2

Explanation:

★ Old Ratio :

Akshay : Bharati = 3 : 2

• Akshay's Share = $\dfrac{3}{5}$

• Bharati's Share = $\dfrac{2}{5}$

They admit Dinesh as a new partner for 1/5th share in the future profits of the firm which he gets equally from Akshay and Bharati

• Dinesh's Share = $\dfrac{1}{5}$

• Share given by Akshay to Dinesh =

$\longrightarrow \: \dfrac{1}{5} \: \times \: \dfrac{1}{2} \: = \: \dfrac{1}{10}$

• Share given by Bharati to Dinesh =

$\longrightarrow \: \dfrac{1}{5} \: \times \: \dfrac{1}{2} \: = \: \dfrac{1}{10}$

• New Share of Akshay =

$\longrightarrow \: \dfrac{3}{5} \: - \: \dfrac{1}{10}$

$\longrightarrow \: \dfrac{6 \: - \: 1}{10} \: = \: \dfrac{5}{10}$

$\longrightarrow \: \dfrac{5}{10}$

• New Share of Bharati =

$\longrightarrow \: \dfrac{2}{5} \: - \: \dfrac{1}{10}$

$\longrightarrow \: \dfrac{4 \: - \: 1}{10} \: = \: \dfrac{3}{10}$

$\longrightarrow \: \dfrac{3}{10}$

• Dinesh's Share =

$\longrightarrow \: \dfrac{1}{5} \: = \: \dfrac{2}{10}$

★ New Profit Sharing Ratio of Akshay, Bharati and Dinesh.

• Akshay : Bharati : Dinesh

• $\dfrac{5}{10} : \dfrac{3}{10} : \dfrac{2}{10}$

Therefore,

New Profit Sharing Ratio :

Akshay : Bharati : Dinesh = 5 : 3 : 2