Question

Rohit and mohit are partners sharing profit and losses in the ratio ofb7:5 they admit lohith into the partnership and offer him 1/4 share which he acquire equally from rohith and mohith calanced the new. profit sharing ratio​

Answer 1

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Rohit's old share = 5/8

Rohit's new share = 4/7

Rohit's sacrifice = 5/8 - 4/7 = 3/56

Mohit's old share = 3/8

Mohit's new share = 2/7

Mohit's sacrifice = 3/8 - 2/7 = 5/56

Sacrificing ratio among Rohit and Mohit will be 3:5.

Answer 2

ANSWER :

• ❖ If Rohit and Mohit are partners in the ratio of 7 : 5 respectively and they admit Lohit as a new partner for 1/4 th share in firms profits which he acquires from Rohit and Mohit in equally; then the New Profit Sharing Ratio of Rohit, Mohit and Lohit will be 11 : 7 : 6.

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SOLUTION :

❒ Given :-

• Rohit and Mohit are partners sharing profits in the ratio 7 : 5.

• Lohit is admitted as a new partner for $\rm{\dfrac{1}{4}}$ th share, which he acquires equally from Rohit and Mohit.

❒ To Calculate :-

• New Profit Sharing Ratio of Rohit, Mohit and Lohit = ?

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❒ Calculation :-

It is given that,

• Profit sharing ratio of Rohit and Mohit = 7 : 5

So,

• Old Share of Rohit = $\sf{\dfrac{7}{12}}$

• Old Share of Mohit = $\sf{\dfrac{5}{12}}$

Again,

• Lohit is admitted as a new partner for $\rm{\dfrac{1}{4}}$ th share.

• Mohit acquires his share equally from Rohit and Mohit.

So,

• ✠ Share Surrendered by Rohit for Lohit = Lohit acquires share from Rohit

➜ Share Surrendered by Rohit for Lohit = $\sf{\dfrac{1}{2}}$ of $\sf{\dfrac{1}{4}}$

➜ Share Surrendered by Rohit for Lohit = $\sf{\dfrac{1}{2} \times \dfrac{1}{4}}$

➜ Share Surrendered by Rohit for Lohit = $\sf{\dfrac{1}{8}}$

And,

• ✠ Share Surrendered by Mohit for Lohit = Lohit acquires share from Mohit

➜ Share Surrendered by Mohit for Lohit = $\sf{\dfrac{1}{2}}$ of $\sf{\dfrac{1}{4}}$

➜ Share Surrendered by Mohit for Lohit = $\sf{\dfrac{1}{2} \times \dfrac{1}{4}}$

➜ Share Surrendered by Mohit for Lohit = $\sf{\dfrac{1}{8}}$

Now,

• ★ New Share of Rohit = Old Share of Rohit - Share Surrendered by Rohit for Lohit

⇒ New Share of Rohit = $\tt{\dfrac{7}{12} - \dfrac{1}{8}}$

⇒ New Share of Rohit = $\tt{\dfrac{14 - 3}{24}}$

⇒ New Share of Rohit = $\tt{\dfrac{11}{24}}$

Similarly,

• ★ New Share of Mohit = Old Share of Mohit - Share Surrendered by Mohit for Lohit

⇒ New Share of Mohit = $\tt{\dfrac{5}{12} - \dfrac{1}{8}}$

⇒ New Share of Mohit = $\tt{\dfrac{10 - 3}{24}}$

⇒ New Share of Mohit = $\tt{\dfrac{7}{24}}$

However,

• ★ Share of Lohit = $\tt{\dfrac{1}{4}}$

⇒ Share of Lohit = $\tt{\dfrac{1 \times 6}{4 \times 6}}$

⇒ Share of Lohit = $\tt{\dfrac{6}{24}}$

Hence,

• ✪ New Profit Sharing Ratio of Rohit, Mohit and Lohit = New Share of Rohit : New Share of Mohit : Share of Lohit

➨ New Profit Sharing Ratio of Rohit, Mohit and Lohit = $\tt{\dfrac{11}{24}}$ : $\tt{\dfrac{7}{24}}$ : $\tt{\dfrac{6}{24}}$

∴ New Profit Sharing Ratio of Rohit, Mohit and Lohit = 11 : 7 : 6