Question : Divya, Vikas and Varun are partners sharing profits in the ratio of 1/2: 1/8: 3/8 respectively. Vikas retires and surrenders 1/9 th from his share in favour of Divya and the remaining in favour of Varun. gaining ratio and new profit-sharing ratio will be :
Option 1: Gaining ratio 8: 1 and new profit sharing ratio 11: 7
Option 2: Gaining ratio 11: 7 and new profit sharing ratio 8: 1
Option 3: Gaining ratio 4: 2 and new profit sharing ratio 7: 11
Option 4: None of the above
Correct Answer: None of the above
Solution :
Answer =
None of the above
Old ratio=$\frac{1}{2}: \frac{1}{8}: \frac{3}{8}$= 4:1:3= D:V:V.
Divya takes= $\frac{1}{8} \times \frac{1}{9}=\frac{1}{72}$
Varun takes= $\frac{1}{8} \times \frac{8}{9}=\frac{1}{72}$
New ratio
Divya=$\frac{4}{8}+\frac{1}{72}=\frac{36+1}{72}=\frac{37}{72}$
Varun= $\frac{3}{8}+\frac{8}{72}=\frac{27+8}{72}=\frac{35}{72}$
N.P.S.R= 37:35
G.Ratio= 1:8
Hence, the correct option is 4.
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