Question

Geeta and Hari were partners in a firm sharing profits and losses in the ratio of $3 : 2$. Krish was admitted as a new partner for $\frac{1}{5}$ share in the profits of the firm, which he acquired from Geeta and Hari in the ratio of $2 : 3$. Krish brought ₹ 1,00,000 as his share of capital and ₹ 50,000 as premium for goodwill in cash. The sacrificing ratio of Geeta and Hari will be:

• A. 3 : 2
• B. 1 : 1
• C. 2 : 3
• D. 13 : 7

Hint:

The sacrificing ratio reflects the proportion of profit share given up by existing partners. Always calculate it based on the share acquired by the new partner.

Answer 1

The Correct Option is C

To calculate the sacrificing ratio, we determine how much of their share Geeta and Hari are giving up in favor of Krish: $$\text{Sacrificing Ratio} = \text{Old Share} - \text{New Share}.$$ Krish acquires $\frac{1}{5}$ share from Geeta and Hari in the ratio $2 : 3$, which means: $$\text{Geeta’s Sacrifice} = \frac{1}{5} \times \frac{2}{5} = \frac{2}{25},$$ $$\text{Hari’s Sacrifice} = \frac{1}{5} \times \frac{3}{5} = \frac{3}{25}.$$ Thus, the sacrificing ratio of Geeta and Hari is $2 : 3$.