Question

X and Y were partners in a firm sharing profits in the ratio of 7 : 3. Z was admitted for `1/5` th share in the profits of which he took 75% from X and remaining from Y. Calculate the sacrificing ratio of X and Y.

Answer 1

Z's Total Share: `1/5`

Share taken from X (75% of Z's share):

`1/5 xx 75%`

`1/5 xx 3/4 = 3/20`

Share taken from Y (Remaining 25% of Z's share):

`1/5 xx 25%`

`1/5 xx 3/4 = 1/20`

Comparing the individual sacrifices `(3/20 : 1/20)`

Sacrificing Ratio (X : Y) = 3 : 1