Question

: X and Y are sharing profits in the ratio of 4 : 3. Z Joins and the new ratio among X, Y and Z is 7 : 4 : 3.what will be the sacrifice ratio...... ​

Answer 1

Answer:

sacrificing ratio= 1 : 1

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

GIVEN

• X and Y are sharing profits in the ratio of 4 : 3

• Z Joins

• The new ratio among X, Y and Z is 7 : 4 : 3

TO DETERMINE

The Sacrificing Ratio

CALCULATION

Here X and Y are sharing profits in the ratio of 4 : 3

So

$\displaystyle \sf{X \: 's \: \:old \: Share \: \: = \frac{4}{4 + 3} = \frac{4}{7} }$

$\displaystyle \sf{Y \: 's \: \: old \: Share \: \: = \frac{3}{4 + 3} = \frac{3}{7} }$

Now Z Joins

The new ratio among X, Y and Z is 7 : 4 : 3

Here X & Y sacrifices

$\displaystyle \sf{X \: 's \: \:new \: Share \: \: = \frac{7}{7 + 4 + 3} = \frac{7}{14} }$

$\displaystyle \sf{Y \: 's \: \: new \: Share \: \: = \frac{4}{7 + 4 + 3} = \frac{4}{14} }$

Now Sacrificing Ratio

= Old Share - New Share

So

$\displaystyle \sf{Sacrifice \: \: of \: \: X\: = \frac{4}{7} - \frac{7}{14} = \frac{1}{14} }$

$\displaystyle \sf{Sacrifice \: \: of \: \: Y\: = \frac{3}{7} - \frac{4}{14} = \frac{2}{14} }$

Hence The Sacrificing Ratio of X & Y

$\displaystyle \sf{ = \frac{1}{14} : \frac{2}{14} }$

$\displaystyle \sf{ = 1 : 2 \: }$

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X,Y,Z,W are 4:3:2:1 .Z acquire 1/5 from X. Y acquire 1/5 from X and W equally . Find new ratio and sacrifice ratio

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