Question

= 12:18 = 2:3
Q. 4. Seeta, Geeta and Reeta are partners in 4:3 : 2 ratio. Calculate new profit sharing
ratio : (i) If Seeta retires; (ii) If Geeta retires and (iii) If Reeta retires.​

Answer 1

ANSWER :

If Seeta, Geeta and Reeta are partners in 4 : 3 : 2 ratio; then

• (i) New profit sharing ratio between Geeta and Reeta when Seeta retires is 3 : 2.

• (ii) New profit sharing ratio between Seeta and Reeta when Geeta retires is 2 : 1.

• (iii) New profit sharing ratio between Seeta and Geeta when Reeta retires is 4 : 3.

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SOLUTION :

❒ Given :-

• Profit sharing ratio of Seeta, Geeta and Reeta = 4 : 3 : 2

❒ To Calculate :-

• (i) New profit sharing ratio when Seeta retires = ?

• (ii) New profit sharing ratio when Geeta retires = ?

• (iii) New profit sharing ratio when Reeta retires = ?

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(i) Calculation of new profit sharing ratio when Seeta retires :-

Here,

• Profit sharing ratio among Seeta, Geeta and Reeta = 4 : 3 : 2

• Seeta's share = $\sf{\dfrac{4}{9}}$

• Geeta's share = $\sf{\dfrac{3}{9}}$

• Reeta's share = $\sf{\dfrac{2}{9}}$

When Seeta retires,

• Geeta's new share = Old share + Share acquired from Seeta

➜ Geeta's new share = $\sf{\dfrac{3}{9}}$ + $\sf{\dfrac{3}{5}}$ of $\sf{\dfrac{4}{9}}$

➜ Geeta's new share = $\sf{\dfrac{3}{9}}$ + $\sf{\dfrac{3}{5}}$ × $\sf{\dfrac{4}{9}}$

➜ Geeta's new share = $\sf{\dfrac{27}{45}}$

➜ Geeta's new share = $\sf{\dfrac{3}{5}}$

• Reeta's new share = Old share + Share acquired from Seeta

➜ Reeta's new share = $\sf{\dfrac{2}{9}}$ + $\sf{\dfrac{2}{5}}$ of $\sf{\dfrac{4}{9}}$

➜ Reeta's new share = $\sf{\dfrac{2}{9}}$ + $\sf{\dfrac{2}{5}}$ × $\sf{\dfrac{4}{9}}$

➜ Reeta's new share = $\sf{\dfrac{18}{45}}$

➜ Reeta's new share = $\sf{\dfrac{2}{5}}$

• ∴ The new profit sharing ratio between Geeta and Reeta = $\sf{\dfrac{3}{5}}$ : $\sf{\dfrac{2}{5}}$

➨ New profit between Geeta and Reeta = 3 : 2 ★

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(ii) Calculation of new profit sharing ratio when Geeta retires :-

Here,

• Profit sharing ratio among Seeta, Geeta and Reeta = 4 : 3 : 2

• Seeta's share = $\sf{\dfrac{4}{9}}$

• Geeta's share = $\sf{\dfrac{3}{9}}$

• Reeta's share = $\sf{\dfrac{2}{9}}$

When Geeta retires,

• Seeta's new share = Old share + Share acquired from Seeta

➜ Seeta's new share = $\sf{\dfrac{4}{9}}$ + $\sf{\dfrac{4}{6}}$ of $\sf{\dfrac{3}{9}}$

➜ Seeta's new share = $\sf{\dfrac{4}{9}}$ + $\sf{\dfrac{4}{6}}$ × $\sf{\dfrac{3}{9}}$

➜Seeta's new share = $\sf{\dfrac{6}{9}}$

➜ Seeta's new share = $\sf{\dfrac{2}{3}}$

• Reeta's new share = Old share + Share acquired from Seeta

➜ Reeta's new share = $\sf{\dfrac{2}{9}}$ + $\sf{\dfrac{2}{6}}$ of $\sf{\dfrac{3}{9}}$

➜ Reeta's new share = $\sf{\dfrac{2}{9}}$ + $\sf{\dfrac{2}{6}}$ × $\sf{\dfrac{3}{9}}$

➜ Reeta's new share = $\sf{\dfrac{3}{9}}$

➜ Reeta's new share = $\sf{\dfrac{1}{3}}$

• ∴ The new profit sharing ratio between Geeta and Reeta = $\sf{\dfrac{2}{3}}$ : $\sf{\dfrac{1}{3}}$

➨ New profit between Geeta and Reeta = 2 : 1 ★

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(iii) Calculation of new profit sharing ratio when Reeta retires :-

Here,

• Profit sharing ratio among Seeta, Geeta and Reeta = 4 : 3 : 2

• Seeta's share = $\sf{\dfrac{4}{9}}$

• Geeta's share = $\sf{\dfrac{3}{9}}$

• Reeta's share = $\sf{\dfrac{2}{9}}$

When Reeta retires,

• Seeta's new share = Old share + Share acquired from Seeta

➜ Seeta's new share = $\sf{\dfrac{4}{9}}$ + $\sf{\dfrac{4}{7}}$ of $\sf{\dfrac{2}{9}}$

➜ Seeta's new share = $\sf{\dfrac{4}{9}}$ + $\sf{\dfrac{4}{7}}$ × $\sf{\dfrac{2}{9}}$

➜ Seeta's new share = $\sf{\dfrac{36}{63}}$

➜ Seeta's new share = $\sf{\dfrac{4}{7}}$

• Geeta's new share = Old share + Share acquired from Seeta

➜ Geeta's new share = $\sf{\dfrac{3}{9}}$ + $\sf{\dfrac{3}{7}}$ of $\sf{\dfrac{2}{9}}$

➜ Geeta's new share = $\sf{\dfrac{3}{9}}$ + $\sf{\dfrac{3}{7}}$ × $\sf{\dfrac{2}{9}}$

➜ Geeta's new share = $\sf{\dfrac{27}{63}}$

➜ Geeta's new share = $\sf{\dfrac{3}{7}}$

• ∴ The new profit sharing ratio between Seeta and Geeta = $\sf{\dfrac{4}{7}}$ : $\sf{\dfrac{3}{7}}$

➨ New profit between Geeta and Reeta = 4 : 3 ★