Question

X,Y and Z are partners sharing profits in the ratio of 5:3:2 . calculate gaining or sacrificing share if X,Y and Z decide to share future profits and lossess equally​

Answer 1

Answer:

x was scarificing and y and z was gaining

Answer 2

Explanation:

Solution :

★ Old Ratio =

X : Y : Z = 5 : 3 : 2

• X's Share = $\dfrac{5}{10}$

• Y's Share = $\dfrac{3}{10}$

• Z's Share = $\dfrac{2}{10}$

X,Y and Z decide to share future profits and lossess equally

★ New Ratio =

X : Y : Z = 1 : 1 : 1

• X's Share = $\sf{\dfrac{1}{3}}$

• Y's Share = $\sf{\dfrac{1}{3}}$

• Z's Share = $\sf{\dfrac{1}{3}}$

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★ Sacrificing OR Gaining Ratio :

Sacrificing OR Gaining Ratio = Old Ratio - New Ratio

• X = $\sf{\dfrac{5}{10} \: - \: \dfrac{1}{3} \: = \: \dfrac{(15 \: - \: 10)}{30}}$

$\sf{\longrightarrow{\dfrac{(5)}{ \: 30}}} - - - \bf{ \: (Sacrifice)}$

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• Y = $\sf{\dfrac{3}{10} \: - \: \dfrac{1}{3} \: = \: \dfrac{(9 \: - \: 10)}{30}}$

$\sf{\longrightarrow{\dfrac{( - 1)}{30}}} - - - \: \bf{(Gain)}$

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• Z = $\sf{\dfrac{2}{10} \: - \: \dfrac{1}{3} \: = \: \dfrac{(6 \: - \: 10)}{30}}$

$\sf{\longrightarrow{\dfrac{( - 4)}{\:30}}} - - - \bf{\: (Gain)}$

Therefore, Sacrificing OR Gaining Ratio :

• X (Sacrifice) = $\dfrac{5}{30}$

• Y (Gain) = $\dfrac{1}{30}$

• Z (Gain) = $\dfrac{4}{30}$