Question

Singh, Gupta and Khan are partners in a firm sharing profits in 3:2:3 ratio. They admitted Jain as a new partner. Singh surrendered 1/3 of his share in favour of Jain: Gupta surrendered 1/4 of his share in favour of Jain and Khan surrendered 1/5 in favour of Jain. Calculate new profit sharing ratio?

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Answer 1

Answer:

singh:gupta: khan

3:2:3

admitted jain as new partner

singh surrender 1/3 rd share to jain

3x1/3=1 share

gupta surrender 1/4th share to jain

2x1/4=0.5 share

khan surrender 1/5th share to jain

3x1/5= 0.6share

jain new profit sharing ratio is

1+0.5+0.6

2.1 approximate value of ratio is 2

Answer 2

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Old Profit sharing ratio of singh,Gupta and khan = 3 : 2 : 3

$singh' s\: sacrifice \: = 1/3 \: of \: 3/8 = 1/3 \times 3/8 = 3/24$

$gupta' s \: sacrifice \: = 1 /4 \: of \: 2/8 = 1 /4 \times 2 /8 = 2 /32$

$khan' s \: sacrifice \: =1/5 \: of \: 3 /8 = 1/5 \times 3 /8 = 3/40$

$singh 's \: new \: share \: = 3/8 - 3/24 = \frac{9 - 3}{24} = \frac{6}{24}$

$gupta's \: new \: share \: =2 /8 - 3 /32 = \frac{8 - 3}{32} = \frac{6}{32}$

$khan's \: new \: share = 3/8 - 3/40 = \frac{15 - 3}{40} = \frac{12}{40}$

$jain's \: share = 3/24 + 2/32 + 3/40 = \frac{60 + 30 + 36}{480} = \frac{126}{480}$

$Hence \: new \: share \: of \: singh : Gupta : khan : jain$

$\frac{6}{24} : \frac{6}{32} : \frac{12}{40} : \frac{126}{480}$

$\frac{120:90:144:126}{480}$

$120:90:144:126 \: \: \: \: or \: \\ 20:15:24:21$

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