Question

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.​

Answer 1

Explanation:

Sharing profit ratio (old) :

Alka : Harpreet : Shreya = 3:2:1

Alka's Share = 3/6

Harpreet's Share = 2/6

Shreya's Share = 1/6

Alka retires and her share is taken up by Harpreet and Shreya in the ratio of 3:2

• Alka's Share taken by Harpreet =

=> 3/6 × 3/5 = 9/30

• Alka's Share taken by Shreya =

=> 3/6 × 2/5 = 6/30

The new profit sharing ratio = old share + acquired share

•Harpreet's new share =

=> 9/30 + 2/6

=> 10+9/30 = 19/30

Harpreet's new share =19/30

•Shreya's new share =

=> 6/30 + 1/6

=> 5+6/30 = 11/30

Shreya's new share = 11/30

The new profit sharing ratio =

Harpreet : Shreya = 19/30 : 11/30

=> 19 : 11

Therefore, The new profit sharing ratio =

Harpreet : Shreya = 19 : 11