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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


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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