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

The sacrificing ratio is determined by the difference between the old and new shares of Geeta and Hari, as they relinquish a portion in favor of Krish: \[\text{Sacrificing Ratio} = \text{Old Share} - \text{New Share}.\] Krish receives \( \frac{1}{5} \) of the total share from Geeta and Hari, distributed in a \( 2 : 3 \) ratio. This results in the following sacrifices: \[\text{Geeta’s Sacrifice} = \frac{1}{5} \times \frac{2}{5} = \frac{2}{25},\] \[\text{Hari’s Sacrifice} = \frac{1}{5} \times \frac{3}{5} = \frac{3}{25}.\] Consequently, the sacrificing ratio between Geeta and Hari is \( 2 : 3 \).