Question

Misha, Sarita and Isha were partners in a firm sharing profits and losses in the ratio of 3 : 2 : 1. With effect from 1st April 2024, they decided that they will share profits and losses equally. The gain or sacrifice by the partners due to change in profit sharing ratio will be :

• A. Misha’s sacrifice 1/6, Isha’s gain 1/6
• B. Misha’s gain 1/6, Isha’s sacrifice 1/6
• C. Misha’s sacrifice 1/6, Sarita’s gain 1/3, Isha’s sacrifice 1/6
• D. Misha’s sacrifice 1/3, Isha’s gain 1/3

Hint:

To calculate gain/sacrifice: Subtract new ratio from old. Positive value = sacrifice, negative = gain.

Answer 1

The Correct Option is A

Old Ratio: 3 : 2 : 1 → $\frac{3}{6}, \frac{2}{6}, \frac{1}{6}$
New Ratio (equal): 1 : 1 : 1 → $\frac{1}{3}, \frac{1}{3}, \frac{1}{3}$ Compare old and new: \[ \text{Misha: } \frac{3}{6} - \frac{1}{3} = \frac{1}{6} \text{ (Sacrifice)}
\text{Sarita: } \frac{2}{6} - \frac{1}{3} = 0 \text{ (No change)}
\text{Isha: } \frac{1}{3} - \frac{1}{6} = \frac{1}{6} \text{ (Gain)} \]