Question

X, Y and Z were partners sharing Profit & Losses in the ratio 5 : 3 : 2. Y retired, and he gifted half of his share to X and remaining half was taken over equally by X and Z. Determine the new Profit-sharing Ratio.

विकल्प

• 29 : 11

• 13 : 7

• 1 : 1

• 5 : 2

Answer 1

29 : 11

Explanation:

Old Ratio: X : Y : Z = 5 : 3 : 2

Total = 10 parts

X = `5/10`

Y = `3/10`

Z = `2/10`

Y’s share = `3/10`

`1/2 xx 3/10 = 3/20`

Remaining half: `3/20`

This remaining half is taken equally by X and Z:

X gets `3/40, Z  "gets" 3/40`

X’s new share:

Old = `5/10 = 20/40`

Gift from Y = `3/20 = 6/40`

Extra from remaining half = `3/40`

X_new ​= `20/40 + 6/40 + 3/40`

= `29/40`

Z’s new share:

Old = `2/10 = 8/40`

Extra from remaining half = `3/40`

Z_new ​= `8/40 + 3/40`

= `11/40`

New Profit Sharing Ratio is X : Z = 29 : 11