Question

XYZ are partners Sharing in 4:3:3 ratio Z retired and his shares was taken over by X and Y equally .Calculate New Ratio​

Answer 1

Answer:

New Ratio =

X : Y = 11 : 9

Explanation:

Old Ratio =

X : Y : Z = 4 : 3 : 3

• X's Share = $\sf{\dfrac{4}{10}}$

• Y's Share = $\sf{\dfrac{3}{10}}$

• Z's Share = $\sf{\dfrac{3}{10}}$

Z retired and his shares was taken over by X and Y equally :

• Z's Share = $\sf{\dfrac{3}{10}}$

Z's Shares was taken over by X and Y equally :

$\sf{\longrightarrow{\dfrac{3}{10} \times \dfrac{1}{2}}}$

$\sf{\longrightarrow{\dfrac{3}{20}}}$

X's new Share =

$\sf{\longrightarrow{\dfrac{3}{20} \: + \dfrac{4}{10}}}$

$\sf{\longrightarrow{\dfrac{11}{20}}}$

Y's new Share =

$\sf{\longrightarrow{\dfrac{3}{20} \: + \: \dfrac{3}{10}}}$

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

New Ratio =

X : Y

$\sf{\longrightarrow{\dfrac{11}{20} : \dfrac{9}{20}}}$

Therefore,

• New Ratio =
• X : Y = 11 : 9