Question

a and b are partners with psr 5is to 3.admitted c as a new partner for 1/3 share . calculate new psr

Answer 1

Answer:

Answer- 17: 11: 12.

Explanation:

Old ratio (A : B) = 5 : 3

C admits for 3/10 share

A sacrifices in favour of C = 1/5

B sacrifices in favour of C = 1/10

New ratio = Old ratio - sacrificing ratio

A's new share = (5/8) - (1/5) = 17/40

B's new share = (3/8) - (1/10) = 22/80 or 11/40

C's share = 3/10 or 12/40

Therefore, new share of A, b and C is 17 : 11 : 12

Answer 2

ANSWER :

• ❖ If A and B are partners with Profit Sharing Ratio of 5 : 3 and they admitted C as a new partner for $\sf{\dfrac{1}{3}}$ share; then the New Profit Sharing Ratio among A, B and C will be 5 : 3 : 4.

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SOLUTION :

❒ Given :-

• Profit sharing ratio of A and B = 5 : 3

• C was admitted for $\sf{\dfrac{1}{3}}$ share of profit.

❒ To Calculate :-

• New profit sharing ratio of A, B and C = ?

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❒ Calculation :-

It is given that,

• Profit sharing ratio of A ans B is 5 : 3

Thus,

• ➻ A's share of profit = $\sf{\dfrac{5}{8}}$

• ➻ B's share of profit = $\sf{\dfrac{3}{8}}$

Again,

• C was admitted for $\sf{\dfrac{1}{3}}$ share of profit.

Let us suppose,

• The total profit of the firm = 1

Then,

• ✎ C's share of profit = $\sf{\dfrac{1}{3}}$ of 1

➜ C's share of profit = $\sf{\dfrac{1}{3}}$ × 1

➜ C's share of profit = $\sf{\dfrac{1}{3}}$

Now,

• ✠ Remaining share = 1 - $\sf{\dfrac{1}{3}}$

➜ Remaining share = $\sf{\dfrac{3 - 1}{3}}$

➜ Remaining share = $\sf{\dfrac{2}{3}}$

• ⥀ This remainging share of $\sf{\dfrac{2}{3}}$ will be shared by A and B in their old ratio, i.e, 5 : 3.

So,

• ★ The new share of A = $\sf{\dfrac{5}{8}}$ of $\sf{\dfrac{2}{3}}$

➨ The new share of A = $\sf{\dfrac{5}{8}}$ × $\sf{\dfrac{2}{3}}$

➨ The new share of A = $\sf{\dfrac{10}{24}}$

• ★ The new share of B = $\sf{\dfrac{3}{8}}$ of $\sf{\dfrac{2}{3}}$

➨ The new share of B = $\sf{\dfrac{3}{8}}$ × $\sf{\dfrac{2}{3}}$

➨ The new share of B = $\sf{\dfrac{6}{24}}$

And,

• ★ The share of C = $\sf{\dfrac{1}{3}}$

➨ The share of C = $\sf{\dfrac{1 \times 8}{3 \times 8}}$

➨ The share of C = $\sf{\dfrac{8}{24}}$

Thus,

• ✪ New profit sharing ratio of A, B and C = $\sf{\dfrac{10}{24}}$ : $\sf{\dfrac{6}{24}}$ : $\sf{\dfrac{8}{24}}$

➩ New profit sharing ratio of A, B and C = 10 : 6 : 8

∴ New profit sharing ratio of A, B and C = 5 : 3 : 4