Question

A, B and C were partners in a firm sharing profits in 3:3:2 ratio. They admitted D as a new partner for 4/7 profit. D acquired his share 2/7 from A. 1/7 from B and 1/7 from C. Calculate new profit sharing ratio?

Answer 1

Answer:

A : B : C : D ::::  5 : 13 : 6 : 32

Explanation:

Let say total Profit Was 56 A

then A profit = (3/8) * 56A = 21A

B profit = 21A

C Profit = (2/8) * 56A = 14A

D as a new partner for 4/7 profit

=> D profit = (4/7) * 56A  = 32A

A's remaining Profit = 21A  - (2/7)*56A = 5A

B's remaining Profit = 21A  - (1/7)*56A = 13A

C's remaining Profit = 14A  - (1/7)*56A = 6A

A : B : C : D ::::  5 : 13 : 6 : 32

Answer 2

Answer:

5:13:6:32

Explanation:

The share of profit of A, B, and C is in the ratio 3:3:2.

Let us assume that profit of A=3x, B=3x, and C=2x.

Hence, total profit = (3x+3x+2x) =8x.

D joins as a partner with a 4/7 part of total profit.

So, profit of D= $8x.\frac{4}{7}$=$\frac{32x}{7}$.

Now, D acquires his share 2/7 from A, 1/7 from B and 1/7 from C.

So, D acquires his share from A, B, and C in the ratio 2:1:1 of his profit.

Hence, the new ratio of shares of A, B, C, and D will be

$(3x-\frac{32x}{7}.\frac{2}{4}):(3x-\frac{32x}{7}.\frac{1}{4}):(2x-\frac{32x}{7}.\frac{1}{4}):\frac{32x}{7}$

=($\frac{84x-64x}{28} :\frac{84x-32x}{28}:\frac{56x-32x}{28}:\frac{32x}{7}$)

=$\frac{5x}{7} :\frac{13x}{7} :\frac{6x}{7}:\frac{32x}{7}$

=5:13:6:32 (Answer)