Question

Anisha, Deepa and Charu were partners sharing profits and losses in the ratio of 5 : 3 : 2. On 31^st March, 2024, they decided to change their profit-sharing ratio to 2 : 3 : 5. Each partner’s gain or sacrifice due to change in profit-sharing ratio will be:

• A. Anisha’s sacrifice $\dfrac{3}{10}$ ; Charu’s gain $\dfrac{3}{10}$
• B. Anisha’s gain $\dfrac{3}{10}$ ; Charu’s sacrifice $\dfrac{3}{10}$
• C. Anisha’s sacrifice $\dfrac{3}{10}$ ; Deepa’s gain $\dfrac{3}{10}$
• D. Deepa’s gain $\dfrac{3}{10}$ ; Charu’s sacrifice $\dfrac{3}{10}$

Hint:

To find gain or sacrifice, subtract the new share from the old share. Positive result means sacrifice; negative means gain.

Answer 1

The Correct Option is A

Old ratio = 5 : 3 : 2
New ratio = 2 : 3 : 5
Anisha’s old share = $\dfrac{5}{10}$, new share = $\dfrac{2}{10}$
Sacrifice = $\dfrac{5}{10} - \dfrac{2}{10} = \dfrac{3}{10}$
Charu’s old share = $\dfrac{2}{10}$, new share = $\dfrac{5}{10}$
Gain = $\dfrac{5}{10} - \dfrac{2}{10} = \dfrac{3}{10}$ Final Answer: Anisha sacrifices $\dfrac{3}{10}$; Charu gains $\dfrac{3}{10}$