Question

X and Y are partners in a firm sharing profits and lossess in the ratio of 9:6. A new paetner Z is admitted X surrender 3/15th of share of his profit in favour of Z and Y 6/15th of his share in favour of Z. Calculate the new profit sharing ratio

Answer 1

Answer:

the new profit sharing ratio of X Y and Z. is. 12 : 6 : 7

Answer 2

Question:-

X & Y are partners in a firm sharing profits and losses in the ratio of 9:6. A new partner z is admitted. X surrenders 3/15th share of his profits in favour of z & y surrenders 6/15th share of his profits in favour of z. Calculate new profit sharing ratio.

Answer:-

Old ratio of X & Y

• $\sf{X's\:share =\dfrac{9}{15} }$

• $\sf{Y's\:share =\dfrac{6}{15} }$

X surrender 3/15 of his share

$\sf{:\implies\dfrac{9}{15}\:x\:\dfrac{3}{15} = \dfrac{27}{225}}$

Y surrender 6/15 of his share

$\sf{:\implies\dfrac{6}{15}\:x\:\dfrac{6}{15} = \dfrac{36}{225}}$

Z's new share = Share surrendered by X + Share surrendered by Y

$\bf{Z's\:share=\dfrac{27}{225}+\dfrac{36}{225}=\dfrac{63}{225}}$

$\sf{X's\:share=\dfrac{9}{15}+\dfrac{27}{225}=\dfrac{135-27}{225}=\dfrac{108}{225}}$

$\sf{Y's\:share=\dfrac{6}{15}+\dfrac{36}{225}=\dfrac{90-36}{225}=\dfrac{54}{225}}$

New ratio:-

$\sf{x\::y\::z = \dfrac{108}{225}\::\dfrac{54}{225}\::\dfrac{63}{225}}$

$\sf{x\::y\::z = 108\::54\::63}$

$\bf{x\::y\::z = 12\::6\::7}$