Question

Anika and Riddhi are partners sharing profits in the ratio of 5:1. They decide to admit Sanika in the firm for `1/5`th share. calculate the sacrifice ratio of Anika and Riddhi.

Answer 1

Balance – 1 = 1 – share of new partner 

= 1 – `1/5`

=`4/5` (Remaining share) 

New ratio = Old ratio × Balance of 1

Anika’s New ratio =`5/6 xx 4/5 =20/30`

Riddhi's New ratio = `1/6 xx 4/5 = 4 /30`

Sanika’s New ratio =`1/5 xx6/6 =6/ 30` (Making denominator equal)

∴ New Profit and Loss ratio =`20/30 :4/30 : 6/30`

 = 20 : 4 : 6 i.e. 10 : 2 : 3

Sacrifice ratio = old ratio – New ratio

Anika’s Sacrifice ratio =`5/6  –  20/30 = (25  –  20)/30 = 5/30`

Riddhi's Sacrifice ratio =`1/6  –  4/30 = (5  –  4)/30 = 1/30`

∴ Sacrifice ratio =`5/30 : 1/30 = 5:1`