X and Y are partners in a business sharing profit and losses in the ratio of 3 : 2. They admit Z as a new partner with 1 / 5 share in the profits. Calculate the new profit sharing ratio of the partners.

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UGC Paper 2: Commerce_17th Oct 2020 Shift 2
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  1. 12 : 8 : 5
  2. 12 : 8 : 6
  3. 12 : 7 : 6
  4. 12 : 3 : 7

Answer (Detailed Solution Below)

Option 1 : 12 : 8 : 5
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
50 Qs. 100 Marks 60 Mins

Detailed Solution

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Old Profit Sharing Ratio (X and Y) = 3:2

Z is admitted for a 1/5th share.

New Profit Sharing Ratio (X and Y) = 1 - 1/5 = 4:5

A's New Profit Sharing Ratio = 3/5 * 4/5 = 12/25

B's New Profit Sharing Ratio = 2/5 * 4/5 = 8/25

A: B: C = 12/25: 8/25: 1/5

Using the L.C.M method to make denominators common, 

New Profit Sharing Ratio Of A:B: C is 12:8:5

Thus, option 1 is the correct answer.

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