Question

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

Answer 1

answer: 3:1

Explanation:

100% of total share that the gained from old parters i.e., 1/5.

out of which 75% Z took from X

so,

other than 75% i.e,

25% he took from Y.

then, sacrificing ratio= 75:25

or =3:1

Answer 2

Given:

The profit-sharing ratio of X and Y=7:3

Z's share on admission= 1/5th

X's contribution= 75% of Z's share

To find:

The sacrificing ratio of X and Y

Solution:

We can find the ratio by following a few steps -

We know that the new partner receives his share in profits from the old partners in a specific ratio.

Z's share=1/5th

Out of this, X's contribution=75%

X's sacrifice= 75/100×1/5

=3/4×1/5

=3/20

Y's contribution=25%

Y's sacrifice= 25/100×1/5

=1/4×1/5

=1/20

The sacrificing ratio of X and Y= X's sacrifice: Y's sacrifice

=3/20:1/20

=3:1

Therefore, the sacrificing ratio of X and Y is 3:1.