Question

X and Y entered into a partnership on 1.4.2016. On 1.1.2017 they admitted Z as a new partner for 16th share in the profits which he acquired equally from X and Y. The new profit-sharing ratio of X, Y, and Z was 3 : 2 : 1. Calculate the profit-sharing ratio of X and Y at the time of forming the partnership.

पर्याय

• 5 : 3

• 3 : 5

• 5 : 7

• 7 : 5

Answer 1

7 : 5

Explanation:

Calculate the Exact Amount of Share Sacrificed by X and Y:

Z acquired his entire `1/6`th share equally from X and Y.

X’s Sacrifice = `1/2 xx 1/6`

= `1/12`

X’s Sacrifice = `1/2 xx 1/6`

= `1/12`

Calculate the Original Shares (Old Ratio):

X’s Share = `3/6 + 1/12`

= `(3 xx 2)/(6 xx 2) + 1/12`

= `6/12 + 1/12`

= `7/12`

Y’s Share = `2/6 + 1/12`

= `(2 xx 2)/(6 xx 2) + 1/12`

= `4/12 + 1/12`

= `5/12`

The original shares of X and Y = `7/12 : 5/12` or 7 : 5