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Q.Rani, Maharani and Laxmi were partners in a firm sharing profits and losses in the ratio of 3 : 3 : 2. On 1st April, 2024 they admitted Reena as a new partner for 1/5th share in the profits of the firm. Reena acquired her share from Rani and Maharani in the ratio of 3 : 2. The new profit sharing ratio between Rani, Maharani, Laxmi and Reena will be : (A) 51 : 59 : 40 : 50 (B) 51 : 59 : 50 : 40 (C) 59 : 51 : 50 : 40 (D) 40 : 51 : 59 : 50

(OR)
Ravita, Savita, Kavita and Babita were partners in a firm sharing profits and losses in the ratio of 5 : 3 : 2 : 2. On 1st April, 2024 Savita retired and her share was acquired equally by the remaining partners. The new profit sharing ratio between Ravita, Kavita and Babita will be : (A) 2 : 1 : 1 (B) 1 : 2 : 1 (C) 1 : 1 : 2 (D) 3 : 3 : 2
CBSECBSE Class XII Board 2025MCQ· 1mImportance★★★★★
✓ Free question

Part (a): New ratio 51 : 59 : 50 : 40 (Option B). Part (b): New ratio 2 : 1 : 1 (Option A).

Reena acquires her 1/5 share only from Rani and Maharani (in 3:2), so only they sacrifice; Laxmi's share is unchanged.

  • Rani's sacrifice = 1/5 × 3/5 = 3/25; new share = 3/8 − 3/25 = (75 − 24)/200 = 51/200.
  • Maharani's sacrifice = 1/5 × 2/5 = 2/25; new share = 3/8 − 2/25 = (75 − 16)/200 = 59/200.
  • Laxmi = 2/8 = 50/200; Reena = 1/5 = 40/200.

New ratio = 51 : 59 : 50 : 40 (sum 200).

✓Final answer

(B) 51 : 59 : 50 : 40.

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