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 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:
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To determine the sacrificing ratio, allocate the share of profit given up by each partner based on their existing share and the new partner’s share.
Krish’s share of profit is \( \frac{1}{5} \). Geeta and Hari give up their share in the ratio of \( 2 : 3 \) to Krish.
Geeta sacrifices \( \frac{2}{5} \times \frac{1}{5} = \frac{2}{25} \) and Hari sacrifices \( \frac{3}{5} \times \frac{1}{5} = \frac{3}{25} \).
The sacrificing ratio between Geeta and Hari is \( 2 : 3 \).