Question

Sita, Geeta and Meeta were partners in a firm sharing profits in the ratio of 7 : 6 : 7. Geeta retired and her share was divided equally between Sita and Meeta. Calculate the new profit-sharing ratio of Sita and Meeta.

Answer 1

Answer:

Please refer to the attached file.

Answer 2

New profit-sharing ratio of Sita and Meeta:

Explanation:

Sita, Geeta and Meeta's ratio

i.e., Old ratio = 7 : 6 : 7

Geeta's Profit share $=\frac{6}{20}$

After Geeta retired in the firm Geeta's share is divided between equally (Sita and Meeta) = 1 : 1

Geeta taken by Sita's Share

$=\frac{6}{20} \times \frac{1}{2}=\frac{6}{40}$

Geeta taken by Meeta's Share

$=\frac{6}{20} \times \frac{1}{2}=\frac{6}{40}$

New Profit Share = Old Profit Share + Geeta taken by Share

Sita's

$=\frac{7}{20}+\frac{6}{40}=\frac{14}{40}+\frac{6}{40}=\frac{20}{40}$

Meeta's

$=\frac{7}{20}+\frac{6}{40}=\frac{14}{40}+\frac{6}{40}=\frac{20}{40}$

New Profit Shareing Ratio in the Sita and Meeta

$=\frac{20: 20}{40}$ or 1: 1

Thus, the new profit-sharing ratio of Sita and Meeta will be 1 : 1.