Question

Ramu, Somu and Gopu are partners sharing profits in the ratio of 3:5:7. Gopu retires and the share is purchased by Ramu and Somu in the ratio of 3:1. Find the new profit sharing ratio and gaining ratio.

Answer 1

Gopu's share = `7/15` (taken by RAmu and Somu in 3 : 1 ratio)

Ramu = `7/15 xx 3/4 = 21/60`

Somu = `7/15 xx 1/4 = 7/60`

Gaining Ratio = 21 : 7  or  3 : 1

New Ratio = Old Ratio + Gain Ratio

Ramu = `3/15 + 21/60 = (12 + 21)/60 = 33/60`

Somu = `5/15 + 7/60 = (20 + 7)/60 = 27/60`

New ratio = 33 : 27  or  11 : 9