Goodwill for two-year purchase of average profit can be calculated using the formula given below:
$Goodwill=\quad Average\quad profit\times No.\quad of\quad purchase\quad year$
Substitute values in the above equation
$Goodwill=\quad \frac { Rs39,000+Rs57,000+Rs24,000+Rs27,000-Rs12,000 }{ 5 } \times 2years\quad =\frac { Rs1,35,000 }{ 5 } \times 2\quad =Rs54,000$
Now, sacrifising ratio of X, Y and Z has to be calculated using the formula given below
$Sacrifising\quad ratio=\quad Old\quad ratio-New\quad ratio$
X's sacrifising ratio$=\quad \frac { 5 }{ 10 } -\frac { 2 }{ 10 } \quad =\frac { 3 }{ 10 } $
Y's sacrifising ratio$=\quad \frac { 3 }{ 10 } -\frac { 5 }{ 10 } \quad =\frac { -2 }{ 10 } $
Z's sacrifising ratio$=\quad \frac { 2 }{ 10 } -\frac { 3 }{ 10 } \quad =\frac { -1 }{ 10 } $
As we see that Y and Z are gaining due to change in ratios but X has sacrifised
Y's gain$=Rs54,000\times \frac { 2 }{ 10 } \quad =Rs10,800$
Z's gain$=Rs54,000\times \frac { 1 }{ 10 } \quad =Rs5,400$
X's sacrifise$=Rs54,000\times \frac { 3 }{ 10 } \quad =Rs16,200$
Journal entry for adjustement
$Gain\ \quad To\quad Sacrifise$
Substitute values in above equation
$Y's\quad capital\quad a/c\quad Dr\quad Rs10,800\ Z's\quad capital\quad a/c\quad Dr\quad Rs5,400\ \quad \quad To\quad X's\quad capital\quad a/c\quad Rs16,200$
Hence, Y is debited with $Rs10,800$ along with Z as $Rs5,400$ but X is credited with $Rs16,200$