Question

X and Y are partners in the ratio of 3 ; 2 respectively. They admit Z as a new partner
for 5 th share in firms profits. Z acquires his share from X and Y in equally. Calculate
the profit sharing ratio of all partners​​

Answer 1

Answer:

X's old share= 3/5

Y's old share= 2/5

Z is admitted as a partner.

X's sacrifice= 3/5 * 1/3

                   = 3/15

Y's sacrifice= 1/10

Therefore, Z's share= 3/15 + 1/10

                                 = 9/30

X's new share=  3/5- 3/15

                       = 6/15

Y's new share= 2/5- 1/10

                      = 3/10

New profit sharing ratio= 4:3:3

Sacrificing ratio= 2:1

be Brainly

Answer 2

ANSWER :

• ❖ If X and Y are partners in the ratio of 3 : 2 respectively and they admit Z as a new partner for 1/5 th share in firms profits which acquires from X and Y in equally; then the New Profit Sharing Ratio of X, Y and Z will be 5 : 3 : 2.

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SOLUTION :

❒ Given :-

• X and Y are partners sharing profits in the ratio 3 : 2.

• Z is admitted as a new partner for $\rm{\dfrac{1}{5}}$ th, which he acquires equally from X and Y.

❒ To Calculate :-

• New Profit Sharing Ratio of X, Y and Z = ?

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❒ Calculation :-

It is given that,

• X and Y are partners sharing profits in the ratio 3 : 2.

So,

• Old Share of X = $\sf{\dfrac{3}{5}}$

• Old Share of Y = $\sf{\dfrac{2}{5}}$

Again,

• Z is admitted as a new partner for $\rm{\dfrac{1}{5}}$ th, which he acquires equally from X and Y.

So,

• ✠ Share Surrendered by X for Z = Z acquires share from X

➜ Share Surrendered by X for Z = $\sf{\dfrac{1}{2}}$ of $\sf{\dfrac{1}{5}}$

➜ Share Surrendered by X for Z = $\sf{\dfrac{1}{2} \times \dfrac{1}{5}}$

➜ Share Surrendered by X for Z = $\sf{\dfrac{1}{10}}$

And,

• ✠ Share Surrendered by Y for Z = Z acquires share from Y

➜ Share Surrendered by Y for Z = $\sf{\dfrac{1}{2}}$ of $\sf{\dfrac{1}{5}}$

➜ Share Surrendered by Y for Z = $\sf{\dfrac{1}{2} \times \dfrac{1}{5}}$

➜ Share Surrendered by X for Z = $\sf{\dfrac{1}{10}}$

Now,

• ★ New Share of X = Old Share of X - Share Surrendered by X for Z

⇒ New Share of X = $\tt{\dfrac{3}{5} - \dfrac{1}{10}}$

⇒ New Share of X = $\tt{\dfrac{6 - 1}{10}}$

⇒ New Share of X = $\tt{\dfrac{5}{10}}$

Similarly,

• ★ New Share of Y = Old Share of Y - Share Surrendered by Y for Z

⇒ New Share of Y = $\tt{\dfrac{2}{5} - \dfrac{1}{10}}$

⇒ New Share of Y = $\tt{\dfrac{4 - 1}{10}}$

⇒ New Share of Y = $\tt{\dfrac{3}{10}}$

However,

• ★ Share of Z = $\tt{\dfrac{1}{5}}$

⇒ Share of Z = $\tt{\dfrac{1 \times 2}{5 \times 2}}$

⇒ Share of Z = $\tt{\dfrac{2}{10}}$

Hence,

• ✪ New Profit Sharing Ratio of X, Y and Z = New Share of X : New Share of Y : Share of Z

➨ New Profit Sharing Ratio of X, Y and Z = $\tt{\dfrac{5}{10}}$ : $\tt{\dfrac{3}{10}}$ : $\tt{\dfrac{2}{10}}$

∴ New Profit Sharing Ratio of X, Y and Z = 5 : 3 : 2