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Question
Anika and Radhika 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 Radhika
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Solution
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`
Radhika’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`
Radhika’s Sacrifice ratio =`1/6 –4/30 =(5 – 4)/30=1/30`
∴ Sacrifice ratio =`5/30 : 1/30 = 5:1`
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