Question

Ans.: New Profit-sharing Ratio -5:3:2.)
& Mohan and Mahesh are partners in a firm sharing profits and losses in the ratio of 3 : 2. Nusrat is admitted
as partner with 1/4 share in profit. Nusrat takes his share from Mohan and Mahesh in the ratio of 2 : 1
Calculate new profit sharing ratio​

Answer 1

ANSWER :

• ❖ If Mohan and Mahesh are partners in a firm sharing profits and losses in the ratio of 3 : 2 and Nusrat is admitted as partner with 1/4 share in profit where Nusrat takes his share from Mohan and Mahesh in the ratio of 2 : 1; then the New Profit Sharing Ratio among Mohan, Mahesh and Nusrat will be 26 : 19 : 15.

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SOLUTION :

❒ Given :-

• Mohan and Mahesh are partners in a firm sharing profits and losses in the ratio of 3 : 2.

• Nusrat is admitted as partner with $\sf{\dfrac{1}{4}}$ share in profit.

• Nusrat takes his share from Mohan and Mahesh in the ratio of 2 : 1.

❒ To Calculate :-

• New Profit Sharing Ratio among Mohan, Mahesh and Nusrat = ?

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❒ Calculation :-

It is given that,

• Nusrat is admitted as partner with $\sf{\dfrac{1}{4}}$ share in profit.

• Nusrat takes his share from Mohan and Mahesh in the ratio of 2 : 1.

So,

• ✪ Nusrat acquires share of profit from Mohan = $\sf{\dfrac{2}{3}}$ th of $\sf{\dfrac{1}{4}}$

⇒ Nusrat acquires share of profit from Mohan = $\sf{\dfrac{2}{3}}$ × $\sf{\dfrac{1}{4}}$

⇒ Nusrat acquires share of profit from Mohan = $\sf{\dfrac{2}{12}}$

And,

• ✪ Nusrat acquires share of profit from Mahesh = $\sf{\dfrac{1}{3}}$ th of $\sf{\dfrac{1}{4}}$

⇒ Nusrat acquires share of profit from Mahesh = $\sf{\dfrac{1}{3}}$ × $\sf{\dfrac{1}{4}}$

⇒ Nusrat acquires share of profit from Mahesh = $\sf{\dfrac{1}{12}}$

Thus,

• ✪ Share of Nusrat = Nusrat acquires share of profit from Mohan + Nusrat acquires share of profit from Mahesh

⇒ Share of Nusrat = $\sf{\dfrac{2}{12}}$ + $\sf{\dfrac{1}{12}}$

⇒ Share of Nusrat = $\sf{\dfrac{2 + 1}{12}}$

⇒ Share of Nusrat = $\sf{\dfrac{3}{12}}$

Again,

• Old Profit Sharing Ratio between Mohan and Mahesh is 3 : 2

So,

• Mohan's Old Share = $\sf{\dfrac{3}{5}}$

• Mahesh's Old Share = $\sf{\dfrac{2}{5}}$

Also,

• Share surrendered by Mohan = $\sf{\dfrac{2}{12}}$

• Share surrendered by Mahesh = $\sf{\dfrac{1}{12}}$

We know that,

• $\dag \: \: \underline{ \boxed{ \sf{ \: \: New \: \: Share = Old \: \: Share - Share \: \: Surrendered \: \: }}}$

Using this formula, we get,

• ✠ Mohan's New Share = Mohan's Old Share - Share surrendered by Mohan

➨ Mohan's New Share = $\sf{\dfrac{3}{5}}$ - $\sf{\dfrac{2}{12}}$

➨ Mohan's New Share = $\sf{\dfrac{36 - 10}{60}}$

➨ Mohan's New Share = $\sf{\dfrac{26}{60}}$

And,

• ✠ Mahesh's New Share = Mahesh's Old Share - Share surrendered by Mahesh

➨ Mahesh's New Share = $\sf{\dfrac{2}{5}}$ - $\sf{\dfrac{1}{12}}$

➨ Mahesh's New Share = $\sf{\dfrac{24 - 5}{60}}$

➨ Mahesh's New Share = $\sf{\dfrac{19}{60}}$

And,

• ✠ Share of Nusrat = $\sf{\dfrac{3}{12}}$

➨ Share of Nusrat = $\sf{\dfrac{3 \times 5}{12 \times 5}}$

➨ Share of Nusrat = $\sf{\dfrac{15}{60}}$

Hence,

• ★ New Profit Sharing Ratio = $\sf{\dfrac{26}{60}}$ : $\sf{\dfrac{19}{60}}$ : $\sf{\dfrac{15}{60}}$

∴ New Profit Sharing Ratio = 26 : 19 : 15

Answer 2

Answer:

New Profit Sharing Ratio = 26: 19: 15

Explanation:

Given

Share of Mohan and Mahesh is 3:2

Nusrat is admitted as a partner with 1/4 share in profit.

Nusrat takes his share from Mohan and Mahesh in the ratio of 2:1

Step 1

Nusrat  acquires a share of profit from Mohan =  $\frac{2}{3}$rd of $\frac{1}{4}$

                                                                             = $\frac{2}{3}$ × $\frac{1}{4}$

                                                                             = $\frac{2}{12}$

Step 2

✪ Nusrat acquires a share of profit from Mahesh =  $\frac{1}{3}$rd of $\frac{1}{4}$

                                                                               =  $\frac{1}{3}$ × $\frac{1}{4}$

                                                                               = $\frac{1}{12}$

Now,                                                                        

Share of Nusrat = Nusrat acquires share of profit from Mohan + Nusrat acquires share of profit from Mahesh

⇒ Share of Nusrat =  $\frac{2}{12}$ + $\frac{1}{12}$

                               = $\frac{3}{12}$

Step 3                      

The old Profit Sharing Ratio between Mohan and Mahesh is 3:2

So,

Mohan's Old Share = $\frac{3}{5}$

Mahesh's Old Share = $\frac{2}{5}$

Also,

Share surrendered by Mohan =  $\frac{2}{12}$

Share surrendered by Mahesh =  $\frac{1}{12}$

using this formula,

New share = old share - surrendered share

we get,

Mohan's New Share = Mohan's Old Share - Share surrendered by Mohan

➨ Mohan's New Share =  $\frac{3}{5}$ - $\frac{2}{12}$

                                       = $\frac{26}{60}$

And,

➨ Mahesh's New Share =  $\frac{2}{5}$ - $\frac{1}{12}$

                                         $\frac{19}{60}$

✠ Share of Nusrat = $\frac{3}{12}$

➨ Share of Nusrat = $\frac{3}{12}$ × $\frac{5}{5}$

                               = $\frac{15}{60}$

Hence,

New Profit Sharing Ratio =  $\frac{26}{60}$ :  $\frac{19}{60}$ : $\frac{15}{60}$

∴ New Profit Sharing Ratio = 26: 19: 15

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