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1. A and B share profits and losses in a firm in the ratio of 3 : 2. And C entered in the firm as a new partner; his profit sharing ratio is $\frac{1}{4}$ . If C has taken his share of profit from A and B in equal ratio, then the new profit shearing ratio will be ?

A. 19 : 11 : 1

B. 19 : 11 : 10

C. 10 : 11 : 9

D. 10 : 11 : 19

Solution:

\begin{aligned} Let the total share = 200 units \\ ∴ Share of C = 200 \times \frac{1}{4} \\ = 50 units \\ Remaining share \\ = (200 - 50) \\ = 150 units \\ ∴ Share of A = \frac{200}{3 + 2} \times 3 \\ = 120 units \\ Share of B = \frac{200}{3 + 2} \times 2 \\ = 80 units \end{aligned}

According to the question,
C received equal amounts from A and B

\begin{aligned} ∴ A's remaining share \\ = (120 - 25) \\ = 95 \\ B's remaining share \\ = (80 - 25) \\ = 55 \end{aligned}

	A	:	B	:	C
New Ratio →	95	:	55	:	50
	19	:	11	:	10

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