Question

X and Y share profits in the ratio of 3:2 . Z was admitted as a partner who sets 1 /5 share .New profit sharing ratio, if z acquires 3 /20 from X and 1/20 from y would be:​

Answer 1

Answer:

New Profit Sharing Ratio =

X : Y : Z = 9 : 7 : 4

Explanation :

Solution :

★ Old Ratio =

X : Y = 3 : 2

• X's Share = $\dfrac{3}{5}$

• Y's Share = $\dfrac{2}{5}$

Z was admitted as a partner who sets 1 /5 share.

• Z acquires 3 /20 from X
• Z acquires 1 / 20 from Y

★ New profit Sharing Ratio :

• X's New Share =

$\longrightarrow\: \dfrac{3}{5} \: - \: \dfrac{3}{20} \: = \: \dfrac{(12 \: - \: 3)}{20}$

$\longrightarrow\: \dfrac{9}{20}$

• Y's New Share =

$\longrightarrow\:\dfrac{2}{5} \: - \: \dfrac{1}{20} \: = \: \dfrac{(8 \: - \: 1)}{20}$

$\longrightarrow\: \dfrac{7}{20}$

• Z's Share =

$\longrightarrow\: \dfrac{1}{5} \: = \: \dfrac{4}{20}$

New profit Sharing Ratio :

• X : Y : Z

$\longrightarrow \: \dfrac{9}{20} : \dfrac{7}{20} : \dfrac{4}{20}$

$\longrightarrow$ 9 : 7 : 4

∴ New Profit Sharing Ratio =

X : Y : Z = 9 : 7 : 4

Answer 2

Explanation:

Ratio of X:Y=3:2

Sum of ratios=3+2=5

So, X's share=3/5

Y's share=2/5

The given is z acquire 3/20 from x and 1/20 from y

Now,

X's new share=3/5-3/20=12-3/20=9/20

Y's new share=2/5-1/20=8-1/20=7/20

Z's share=3/20+1/20=4/20

Required ratio==9/20:7/20:4/20=9:7:4

New profit of sharing the ratio=9:7:4