Ramesh and Suresh are partners in a firm sharing profits in the ratio of 4:3. They admitted Mohan as a new partner. The profit sharing ratio of Ramesh, Suresh and Mohan will be 2:3:1. Choose the correct option with regards to the gain or sacrifice of old partner-

Calculation of Sacrifice or Gain:

Sacrificing/Gaining Ratio = Old Share - New Share

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For Ramesh:

Old share = $\frac{4}{7}$

New share = $\frac{2}{6} = \frac{1}{3}$

To find the common denominator between 7 and 3 → 21

Old share = $\frac{4}{7} = \frac{12}{21}$

New share = $\frac{1}{3} = \frac{7}{21}$

Ramesh's Sacrifice = $\frac{12}{21} - \frac{7}{21} = \frac{5}{21} = \frac{10}{42}$

Since the result is positive, Ramesh has sacrificed his share.

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For Suresh:

Old share = $\frac{3}{7}$

New share = $\frac{3}{6} = \frac{1}{2}$

Common denominator between 7 and 2 → 14

Old share = $\frac{3}{7} = \frac{6}{14}$

New share = $\frac{1}{2} = \frac{7}{14}$

Suresh's Sacrifice = $\frac{6}{14} - \frac{7}{14} = \frac{-1}{14} = \frac{-3}{42}$

Since the result is negative, Suresh has gained (not sacrificed) $\frac{3}{42}$ share.

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Mohan's share of $\frac{1}{6}$ comes from Ramesh's sacrifice only, as Suresh actually increased his profit share.

Correct Option: Option 1 (Ramesh's sacrifice = 10/42)