P,Q and R are partners sharing profits and losses in the ratio 1:2:2 .On 1st April 2015 it was decided that P will get 1/4 of the total profit and the remaining share will be taken by Q and R equally.Calculate sacrificing and gaining ratios.

Dear student
Total share = 1
Ps new share = 1/4
Remaining share = 1-1/4 = 3/4
Qs new share = 3/4*1/2 = 3/8
Rs new share = 3/4*1/2 = 3/8
Gain = New Ratio - Old Ratio
Sacrifice = Old Ratio- New Ratio
P's sacrifice / Gain = 1/5 -1/4 = (1/20)       Sacrifice
Qs sacrifice/ gain = 2/5 - 3/8 = 1/40.    Gain
Rs sacrifice/ gain = 2/5 - 3/8 = 1/40.   Gain

Gain / Sacrifice Ratio - 1/20 : 1/40 : 1/40
Gain /. Sacrifice Ratio = 2 : 1 : 1



Regards

 

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