Question

6. B and N are partners in a firm sharing profits in the ratio of 3:2. They admit
S as a partner for 1/4th share in the profits. S acquires his share from B and N
in the ratio of 2 : 1. The new profit-sharing ratio will be :
(B) 19:26:15
(
A1​

Answer 1

Answer:

\begin{gathered} \\ \end{gathered}

❖ If B and N are partners in a firm sharing profits and losses in the ratio of 3 : 2 and S is admitted as partner with 1/4 th share in profit which he acquires from B and N in the ratio of 2 : 1; then the New Profit Sharing Ratio of B, N and S will be 26 : 19 : 15.

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SOLUTION :

\begin{gathered} \\ \\ \end{gathered}

❒ Given :-

B and N are partners in a firm sharing profits and losses in the ratio of 3 : 2.

S is admitted as partner with \sf{\dfrac{1}{4}}41  th share in profit.

S acquires his share from B and N in the ratio of 2 : 1.

❒ To Calculate :-

New Profit Sharing Ratio among B, N and S = ?

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❒ Calculation :-

\begin{gathered} \\ \end{gathered}

It is given that,

S is admitted as partner with \rm{\dfrac{1}{4}}41  th share in profit.

S acquires his share from B and N in the ratio of 2 : 1.

So,

✠ S acquires share of profit from B = \sf{\dfrac{2}{3}}32  th of \sf{\dfrac{1}{4}}41

⇒ S acquires share of profit from B =  \sf{\dfrac{2}{3} \times \dfrac{1}{4}}32×41

⇒ S acquires share of profit from B =  \sf{\dfrac{2}{12}}122

And,

S acquires share of profit from N = \sf{\dfrac{1}{3}}31  th of \sf{\dfrac{1}{4}}41

⇒ S acquires share of profit from N =  \sf{\dfrac{1}{3} \times \dfrac{1}{4}}31×41

⇒ S acquires share of profit from N =  \sf{\dfrac{1}{12}}121

Thus,

❍ Share of S = S acquires share of profit from B + S acquires share of profit from N

⇒ Share of S = \sf{\dfrac{2}{12} + \dfrac{1}{12}}122+121

⇒ Share of S = \sf{\dfrac{2 + 1}{12}}122+1

⇒ Share of S  = \sf{\dfrac{3}{12}}123

Again,

Old Profit Sharing Ratio of B and N is 3 : 2.

So,

B's Old Share = \sf{\dfrac{3}{5}}53

N's Old Share = \sf{\dfrac{2}{5}}52

Also,

Share surrendered by B = \sf{\dfrac{3}{12}}123

Share surrendered by N = \sf{\dfrac{1}{12}}121

We know that,

\dag \: \: \underline{ \boxed{ \bf{ \: \: New \: \: Share = Old \: \: Share - Share \: \: Surrendered \: \: }}}†NewShare=OldShare−ShareSurrendered

Using this formula, we get,

★ B's New Share = B's Old Share - Share surrendered by B

➨ B's New Share = \tt{\dfrac{3}{5} - \dfrac{2}{12}}53−122

➨ B's New Share = \tt{\dfrac{36 - 10}{60}}6036−10

➨ B's New Share = \tt{\dfrac{26}{60}}6026

Similarly,

★ N's New Share = N's Old Share - Share surrendered by N

➨ N's New Share = \tt{\dfrac{2}{5} - \dfrac{1}{12}}52−121

➨ N's New Share = \tt{\dfrac{24 - 5}{60}}