Question:

Geeta and Hari were partners in a firm sharing profits and losses in the ratio of 3:2 3 : 2 . Krish was admitted as a new partner for 15 \frac{1}{5} share in the profits of the firm, which he acquired from Geeta and Hari in the ratio of 2:3 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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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.
Updated On: Jan 18, 2025
  • 3 : 2
  • 1 : 1
  • 2 : 3
  • 13 : 7
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The Correct Option is C

Solution and Explanation

To calculate the sacrificing ratio, we determine how much of their share Geeta and Hari are giving up in favor of Krish: Sacrificing Ratio=Old ShareNew Share. \text{Sacrificing Ratio} = \text{Old Share} - \text{New Share}. Krish acquires 15 \frac{1}{5} share from Geeta and Hari in the ratio 2:3 2 : 3 , which means: Geeta’s Sacrifice=15×25=225, \text{Geeta’s Sacrifice} = \frac{1}{5} \times \frac{2}{5} = \frac{2}{25}, Hari’s Sacrifice=15×35=325. \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 2 : 3 .
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