Question

X and Y sharing profits in the ratio of 5:3. They admit Z as a new partner. Z brings Rs 70,000 as cash and Rs 43,000 against his premium for
goodwill. New profit sharing ratio between X, Y and Zs 7:5: 4. The Sacrificing ratio of X and Y: (a) 3:1 (2) 5:9 (c) 1:3 (d) 4:5​

Answer 1

QuesTion :

• X and Y sharing profits in the ratio of 5:3. They admit Z as a new partner. Z brings Rs 70,000 as cash and Rs 43,000 against his premium for goodwill. New profit sharing ratio between X, Y and Zs 7:5: 4. The Sacrificing ratio of X and Y: (a) 3:1 (2) 5:9 (c) 1:3 (d) 4:5

AnswEr :

• Sacrificing ratio of X and Y = Option (a) 3:1.

Step-by-step ExplanaTion :

GivEn :

• Old profit sharing ratio of partners = 5:3
• New profit sharing ratio of partners = 7:5:4

To FinD :

• Sacrificing ratio of X and Y?

Formula UseD :

$\large{\boxed{\bf{Sacrificing\:ratio = Old\:share - New\:share}}}$

SoluTion :

• Sacrificing ratio of X

We have,

• Old share of X = 5/8
• New share of X = 7/16

Putting all values in formula,

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{5}{8} - \dfrac{7}{16}$

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{5\:\times\:2}{8\:\times\:2} - \dfrac{7}{16}$

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{10}{16} - \dfrac{7}{16}$

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{10 - 7}{16}$

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{3}{16}$

$\\ \large{\boxed{\bf{\therefore\:Sacrificing\:Ratio\:of\:X = \dfrac{3}{16}}}}$

• Sacrificing ratio of Y

We have,

• Old share of Y = 3/8
• New share of Y = 5/16

Putting all values in formula,

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{3}{8} - \dfrac{5}{16}$

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{3\:\times\:2}{8\:\times\:2} - \dfrac{5}{16}$

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{6}{16} - \dfrac{5}{16}$

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{6 - 5}{16}$

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{1}{16}$

$\\ \large{\boxed{\bf{\therefore\:Sacrificing\:Ratio\:of\:Y = \dfrac{1}{16}}}}$

• Sacrificing ratio of X and Y

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{3}{\cancel{16}}:\dfrac{1}{\cancel{16}}$

$\\ :\implies\:\sf Sacrificing\:Ratio = \dfrac{3}{1}:\dfrac{1}{1}$

$\\ :\implies\:\sf Sacrificing\:Ratio = 3:1$

$\\ \large{\boxed{\bf{\therefore\:Sacrificing\:Ratio\:of\:X\:and\:Y = 3:1}}}$

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SimilaR QuesTion :

• Calculate the New Ratio. Crow and Swan are partners sharing profits in the ratio of 5:3. Peacock joins the firm as a new partner, Crow gives 1/4th of his share and Swan gives 2/5th of his share to the new partner.

AnswEr :

• brainly.in/question/46415190

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