Devki and Neena were partners in a firm sharing profits and losses in the ratio of 4:3. Amar was admitted as a new partner for 1/5th share in the profits of the firm. Amar acquired 1/3rd of his share from Devki. How much share did Amar acquire from Neena?
Devki and Neena were partners in a firm sharing profits and losses in the ratio of 4:3. Amar was admitted as a new partner for 1/5th share in the profits of the firm. Amar acquired 1/3rd of his share from Devki. How much share did Amar acquire from Neena?
Show Hint
- 2/3
- 2/15
- 1/15
- 3/7
The Correct Option is B
Solution and Explanation
Amar is admitted for 1/5 share of the profits of the firm.
Step 2: Find the part taken from Devki:
Amar takes 1/3 of his share from Devki.
Devki gives 1/3 x 1/5 = 1/15 of the firm.
Step 3: Find the part taken from Neena:
The rest of the share of Amar comes from Neena.
Neena gives 1/5 - 1/15 = 3/15 - 1/15 = 2/15 of the firm.
Another way: Neena gives 2/3 of the share of Amar, so 2/3 x 1/5 = 2/15.
Step 4: Check the new ratio:
Old shares are Devki 4/7 and Neena 3/7. New shares are Devki 4/7 - 1/15 = 53/105 and Neena 3/7 - 2/15 = 31/105.
Amar has 1/5 = 21/105. Total 53 + 31 + 21 = 105, so the working is correct.
Step 5: Why the other options are wrong:
Option (A) 2/3 is the part of the share of Amar taken from Neena. The question asks for the part of the firm, so 2/3 must be multiplied by 1/5.
Option (C) 1/15 is the share taken from Devki, not from Neena.
Option (D) 3/7 is the old profit share of Neena. It has no link with the share acquired by Amar.
Final Answer:
Amar acquires 2/15 of the firm from Neena, option (B).
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