Question

x, y andZ are partner sharing profit and losses 4:3:2
Now they decided to share profit equally in future
Calculate their sacrificing or ganing ratio
.​

Answer 1

Answer:

Z's Gain = 1/9

X's Sacrifice = 1/9

Explanation:

Solution :

Old Ratio :

X : Y: Z = 4 : 3 : 2

• X's Share = 4/9

• Y's Share = 3/9

• Z's Share = 2/9

They decided to Share Profit equally in future

Old Ratio =

X : Y: Z = 4 : 3 : 2

New Ratio =

X : Y: Z = 1 : 1 : 1

★ Sacrificing or Gaining Ratio :

Sacrificing Ratio (or Gaining Ratio) = Old Ratio - New Ratio

• X's Share = 4/9 - 1/3

4/9 - 3/9 = 1/9 ____(Sacrifice)

• Y's Share = 3/9 - 1/3

3/9 - 3/9 = ____( Nil )

• Z's Share = 2/9 - 1/3

2/9 - 3/9 = -1/9 ______ (Gain )

Therefore,

Z's Gain = 1/9

X's Sacrifice = 1/9

Answer 2

Question:-

• x, y and z are partner sharing profit and losses 4 : 3 : 2 Now they decided to share profit equally in future Calculate their sacrificing or gaining ratio.

To Find:-

• Find the sacrificing or gaining ratio.

Solution:-

Given ,

• x : y : z = 4 : 3 : 2

X's Share:-

$\tt\implies \: \: \: \dfrac { 4 } { 9 }$

Y's Share:-

$\tt\implies \: \: \: \dfrac { 3 } { 9 }$

Z's Share:-

$\tt\implies \: \: \: \dfrac { 2 } { 9 }$

Now ,

x , y , z decided to share the profit equally:-

Sacrificing or Gaining ratio:-

X' Share:-

$\tt\implies \: \: \: \dfrac { 4 } { 9 } - \dfrac { 1 } { 3 }$

$\tt\implies \: \: \: \dfrac { 1 } { 9 }$

Y' Share:-

$\tt\implies \: \: \: \dfrac { 3 } { 9 } - \dfrac { 1 } { 3 }$

$\tt\implies \: \: \: 0$

Z's Share:-

$\tt\implies \: \: \: \dfrac { 2 } { 9 } - \dfrac { 1 } { 3 }$

$\tt\implies \: \: \: \dfrac { -1 } { 9 }$

Hence ,

• X sacrifices $\tt \: \dfrac { 1 } { 9 }$

• Z gains $\tt \: \dfrac { 1 } { 9 }$