Karan and arjun are two partners sharing profit and losses in the rstio of 3:2.they admit bheem into partnership as a partner from 1st april. Karan gives 1/3rd of his share while arjun gives 1/10th of his share.calculte new profit sharing ratio and sacrificing ratio
Answers
Karan ’s old share = 3/5
Share surrendered by karan = 1/3*3/5
=3/15
Karan's new share = 3/5-3/15
=(3/5*3/3)-3/15
=9/15-3/15
=6/15
arjun ’s old share = 2/5
Share surrendered by arjun = 1/10*2/5
=1/25
arjun’s new share = 2/5-1/25
=(2/5*5/5)-1/25
=10/25-1/25
=9/25
bheem's new share = karan's scarifies + arjun's scarifies
=3/15+1/25
=(3/15*5/5 ) + (1/25*3/3)
=15/75+3/75
=18/75
New ratio
Karan,s new ratio =6/15*5/5
=30/75
Arjun’s new ratio = 9/25*3/3
=27/75
Bheem’s new ratio = 18/75
New ratio = 30:27:18
(Or)
=10:9:6
Hope its useful..!!
The new profit sharing ratio is 10 : 9 : 6
The sacrifice ratio of Karan is = 1 / 5
The sacrifice ratio of Arjun is = 1 / 25
To calculate new profit sharing ratio the formula is
New profit ratio = Old ratio - Sacrifice ratio.
But we should calculate sacrifice ratio first to find new profit sharing ratio
The formula to find sacrifice ratio is
Sacrifice ratio = Old ratio * surrender ratio.
Karan' s sacrifice = 3:2
= 3 + 2 = 5 (3 / 5)
= (3 / 5) * (1 / 3)
= 1 / 5
Arjun's sacrifice = 2 : 1
= (2 / 5)
= (2 / 5) * (1 / 10)
= 1 / 25
New profit ratio = Old ratio - Sacrifice ratio.
Karan's new ratio
= (3 / 5) - (1 / 5)
= 2 / 5.
Arjun's new ratio
= (2 / 5) - (1 / 25)
= 9 / 25
To calculate Bheem' s ratio
Karan's ratio + Arjun's ratio
= (1 / 5) + (1 / 25)
= 6 / 25
Now the profit sharing ratio of 3 partners are
= 2 / 5 : 9 / 25 : 6 / 25
When we simplify them we get
= 10 : 9 : 6.
Therefore the new profit sharing ratio is 10 : 9 : 6.