Question

Arun, Bashir and Joseph were partners in a firm sharing profits and losses in the ratio of 5 : 3 : 2. They admitted Daksh as a new partner who acquired his share entirely from Arun. If Arun sacrificed \( \frac{1}{5} \)th from his share to Daksh, Daksh's share in the profits of the firm will be :

• A. \( \frac{1}{10} \)
• B. \( \frac{1}{5} \)
• C. \( \frac{3}{10} \)
• D. \( \frac{2}{5} \)

Hint:

The share sacrificed by the old partner(s) directly becomes the share of the new partner. When a specific fraction is mentioned as being sacrificed "to" the new partner, that fraction usually represents the new partner's share of the total profit.

Answer 1

The Correct Option is B

Step 1: Identify the Sacrifice Made for Daksh:
The question states that Daksh acquired his share *entirely* from Arun.
It also states that Arun sacrificed \( \frac{1}{5} \)th share *to* Daksh. This means the share given by Arun to Daksh *is* \( \frac{1}{5} \) of the total profit.
Step 2: Determine Daksh's Share:
Since Daksh acquired his entire share from Arun, and Arun sacrificed \( \frac{1}{5} \)th share, Daksh's share in the firm's profit is equal to the share Arun sacrificed.
Daksh's Share = Arun's Sacrifice = \( \frac{1}{5} \).
Conclusion:
Daksh's share in the profits of the firm will be \( \frac{1}{5} \).