Question

Ravi and Mukesh are sharing profit in the ratio 8:7:3 they admitted Ashok for 3/7th share in the form which he take to 2/7th from Ravi and 1/7th for Mukesh calculate new profit sharing ratio.​

Answer 1

CORRECT QUESTION :

• ➲ Ravi and Mukesh are sharing profits in the ratio of 7 : 3. They admit Ashok for 3/7th share in the firm which he takes 2/7th from Ravi and 1/7th from Mukesh. Calculate new profit sharing ratio.

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ANSWER :

• ❖ If Ravi and Mukesh are sharing profits in the ratio of 7 : 3 and they admit Ashok for 3/7th share in the firm which he takes 2/7th from Ravi and 1/7th from Mukesh; then New Profit Sharing Ratio among Ravi, Mukesh and Ashok is 29 : 11 : 30.

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SOLUTION :

❒ Given :-

• Ravi and Mukesh are sharing profits in the ratio of 7 : 3.

• They admit Ashok for 3/7th share in the firm.

• Ashok takes 2/7th from Ravi and 1/7th from Mukesh.

❒ To Calculate :-

• New Profit Sharing Ratio = ?

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❒ Calculation :-

Given that,

• Ravi and Mukesh are sharing profits in the ratio of 7 : 3.

So,

• Ravi's Old Share = $\sf{\dfrac{7}{10}}$

• Mukesh's Old Share = $\sf{\dfrac{3}{10}}$

Again,

• Ashok takes $\sf{\dfrac{2}{7}}$ th from Ravi and $\sf{\dfrac{1}{7}}$ th from Mukesh.

So,

• Ravi's Sacrifice = $\sf{\dfrac{2}{7}}$

• Mukesh's Sacrifice = $\sf{\dfrac{1}{7}}$

Therefore,

• ★ Ravi's New Share = Old Share - Sacrifice

➜ Ravi's New Share = $\sf{\dfrac{7}{10}}$ - $\sf{\dfrac{2}{7}}$

➜ Ravi's New Share = $\sf{\dfrac{49 - 20}{70}}$

➜ Ravi's New Share = $\sf{\dfrac{29}{70}}$

And,

• ★ Mukesh's New Share = Old Share - Sacrifice

➜ Mukesh's New Share = $\sf{\dfrac{3}{10}}$ - $\sf{\dfrac{1}{7}}$

➜ Mukesh's New Share = $\sf{\dfrac{21 - 10}{70}}$

➜ Mukesh's New Share = $\sf{\dfrac{11}{70}}$

Also,

• ★ Ashok's Share = $\sf{\dfrac{3}{7}}$

➜ Ashok's Share = $\sf{\dfrac{3 \times 10}{7 \times}}$

➜ Ashok's Share = $\sf{\dfrac{30}{70}}$

Thus,

• ✪ New Profit Sharing Ratio among Ravi, Mukesh and Ashok = $\sf{\dfrac{29}{70}}$ : $\sf{\dfrac{11}{70}}$ : $\sf{\dfrac{30}{70}}$

➨ New Profit Sharing Ratio among Ravi, Mukesh and Ashok = 29 : 11 : 30