Question

A, B, C and D are partners sharing profits in the ratio of 4 : 3 : 2 : 1. They admit E as a new partner for `1/10`th share. It is agreed that C and D will retain their original shares. What will be the New profit-sharing ratio?

विकल्प

• 4 : 3 : 2 : 1 : 1

• 24 : 18 : 14 : 7 : 7

• 7 : 5 : 4 : 2 : 2

• 36 : 27 : 18 : 9 : 10

Answer 1

24 : 18 : 14 : 7 : 7

Explanation:

C’s Share = `2/10`, D’s Share = `1/10` and E’s Share = `1/10`

Remaining Share = `1 - 2/10 - 1/10 - 1/10`

= `6/10`

A and B will share `6/10` in their existing ratio i.e., 4: 3.

Hence, A’s share = `6/10 xx 4/7`

= `24/70`

B’s share = `6/10 xx 3/7`

= `18/70`

New Ratio of A, B, C, D, and E = `24/70 : 18/70 : 2/10 : 1/10 : 1/10`

To simplify C, D, and E, use a common denominator of 70:

C’s share = `2/10`

= `(2 xx 7)/(10 xx 7)`

= `14/70`

D’s share = `1/10`

= `(1 xx 7)/(10 xx 7)`

= `7/70`

E’s share = `1/10`

= `(1 xx 7)/(10 xx 7)`

= `7/70`

New Ratio of A, B, C, D, and E = `24/70 : 18/70 : 14/70 : 7/70 : 7/70` or 24 : 18 : 14 : 7 : 7