Question

A and B are partners in a firm. They share profit and loss in the ratio of 3:2.E in admitted as a new partner. A sacrificed 1/5 share of his profit and B 1/8share of his profit in favour of E. Find out the new profit ratios of all the partners.

Answer 1

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Answer 2

A : B : E = 17 : 48 : 35

Step-by-step explanation:

If the share of A in the profit is 3x and that of B in the profit is 2x, then total profit is (3x + 2x) = 5x.

Now, A sacrificed $\frac{1}{5}$ share of his profit and B $\frac{1}{2}$ share of his profit in favor of E, then the profit goes to E will be = $(\frac{3x}{5} + \frac{2x}{8}) = \frac{17x}{20}$.

Now, the profit for A = $3x - \frac{3x}{5} = \frac{12x}{5}$ and the profit for B = $2x - \frac{2x}{8} = \frac{7x}{4}$

Therefore, the ratio of profit of A, B, and E will be

$\frac{12x}{5} : \frac{7x}{4} : \frac{17x}{20}$ = 48 : 35 : 17(Answer)