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?​

Answer 1

Answer:

Explanation:

CALCULTIONS OF NEW RATIOS WILL BE AS UNDER

                                              SINGH          GUPTA        KHAN            JAIN

==============================================================

EXISTING RATIO                   3/8                 2/8               3/8             NEW

SHARE SURRENDERED      3/8*1/3           2/8*1/4         3/8*1/5

                                      =      3/24                 2/32            3/40  3/24+2/32+3/40

NEW RATIO CALCULATIONS

                                      =3/8-3/24             2/8-2/32       3/8-3/40       21/80

                                      = 2/8                      1/4-1/16         12/40             21/80

                                      =1/4                         3/16               3/10             21/80

                                      =60/240               20/240     72/240            63/240

                                      = 60     :                   45        :       72      :           63

                                      =20      :                  15         :        24     :            21

Answer 2

$\large\sf \bf \underline\purple{ ♡︎ \:your \: ♡︎\: Answer \: ♡︎}$

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

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

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

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

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

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

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

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

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

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

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

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

$\large\sf \bf \underline\purple{ ♡︎\:ʜᴏᴘᴇ\: ᴛʜɪs\: ʜᴇʟᴘs ᴜʜʜ \: ♡︎}$