R, S and K are partners sharing profits in the ratio 8:6:4 . On the retirement of R, the new profit sharing ra

Question

R, S and K are partners sharing profits in the ratio 8:6:4 . On the retirement of R, the new profit sharing ratio between S and K was decided to be 5:3 . The Gaining ratio is:

Accepted Answer

Given old profit sharing ratio of R, S, K is

8 : 6 : 4

, which simplifies to:

Old Share of R = \frac{8}{18}, Old Share of S = \frac{6}{18}, Old Share of K = \frac{4}{18}

The new ratio between S and K is

5 : 3

.

New Share of S = \frac{5}{8}, New Share of K = \frac{3}{8}

The formula for Gaining Share is:

Gaining Share = New Share - Old Share

For S:

Gain of S = \frac{5}{8} - \frac{6}{18} = \frac{5 \times 9 - 6 \times 4}{72} = \frac{45 - 24}{72} = \frac{21}{72}

For K:

Gain of K = \frac{3}{8} - \frac{4}{18} = \frac{3 \times 9 - 4 \times 4}{72} = \frac{27 - 16}{72} = \frac{11}{72}

Comparing both gains, the gaining ratio is

21 : 11

.

R, S and K are partners sharing profits in the ratio $8 : 6 : 4$ . On the retirement of R, the new profit sharing ratio between S and K was decided to be $5 : 3$ . The Gaining ratio is:

Solution & Step-by-step Explanation

Practice this question

Share This Question

Related Questions

Ready for a Full Test?

Discussion

R, S and K are partners sharing profits in the ratio 8:6:4. On the retirement of R, the new profit sharing ratio between S and K was decided to be 5:3. The Gaining ratio is: