Question : P, Q and R are partners sharing profit and losses in the ratio of 3: 2: 1. Q retires selling his share of profit to P and R for Rs 54,000 being paid by P and Rs 36,000 being paid by R. Calculate new profit sharing ratio.
Option 1: 3:2
Option 2: 7:3
Option 3: 5:3
Option 4: None of the above
Correct Answer: 7:3
Solution : Answer = 7:3
P:R = 54000:36000
= 6:4 of 3:2
as P takes $\frac{2}{6}\times\frac{3}{5} = \frac{6}{30}$
R takes = $\frac{2}{6}\times\frac{2}{5} = \frac{4}{30}$
N.R. = O.R. + G.R.
P = $\frac{3}{6} + \frac{6}{30} = \frac{15+6}{30} = \frac{21}{30}$
R = $\frac{1}{6} + \frac{4}{30} = \frac{5+4}{30} = \frac{9}{30}$
N.P.S.R. = 21:9 = 7:3 Hence, the correct option is 2.
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