Alka, Harpreet and Shreya are partners sharing profits in the ratio of `3:2:1`. Alka retires and her share is taken up by Harpreet and Shreya in the ratio of `3:2`. Calculate the new profit sharing ratio.

Explanation

Gaining Given, Ratio of Harpreet and Shreya = `3:2 = (3)/(5):(2)/(5)`
Old Profit Sharing Ratio of between Alka, Harpreet and Shreya `3:2:1 = (3)/(6):(2)/(6):(1)/(6)`
Share acquired by Harpreet = `(3)/(5)` of `(3)/(6)=(9)/(30)`
Share acquired by Shreya = `(2)/(5)` of `(3)/(6) = (6)/(30)`
New Share = Old Share + Acquired Share
Harpreet's New Share = `(2)/(6) + (9)/(30)=(19)/(30)`
Shreya's new Share = `(1)/(6)+(6)/(30) = (11)/(30)`
New Profit Sharing Ratio of Harpreet and Shreya = `19:11`