Question:

Sona and Mona were partners in a firm sharing profits and losses in the ratio of 4 : 3. On 1stApril, 2024, they admitted Leena as a new partner. The new profit sharing ratio on Leena’s admission was 2 : 3 : 1. Sona’s sacrifice on Leena’s admission was:

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Sacrifice = Old Ratio – New Ratio. Always take LCM when subtracting fractions.
Updated On: Jul 18, 2025
  • Nil
  • $\dfrac{5}{21}$
  • $\dfrac{4}{7}$
  • $\dfrac{3}{7}$
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The Correct Option is B

Solution and Explanation

Old ratio (Sona : Mona) = 4 : 3 $\Rightarrow$ Total = 7
Sona’s old share = $\dfrac{4}{7}$
New ratio (Sona : Mona : Leena) = 2 : 3 : 1 $\Rightarrow$ Total = 6
Sona’s new share = $\dfrac{2}{6} = \dfrac{1}{3}$
Sacrifice = Old Share – New Share
= $\dfrac{4}{7} - \dfrac{1}{3} = \dfrac{12 - 7}{21} = \dfrac{5}{21}$
Therefore, Sona’s sacrifice = $\dfrac{5}{21}$
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