Question

A, B, C and D are partners. A and B share `2/3`rd of profits equally and C and D share the remaining profits in the ratio of 3 : 2. Find the profit-sharing ratio of A, B, C and D.

विकल्प

• 5 : 5 : 3 : 2

• 7 : 7 : 6 : 4

• 2.5 : 2.5 : 8 : 6

• 3 : 9 : 8 : 3

Answer 1

5 : 5 : 3 : 2

Explanation:

Calculate the total share for A and B, and the remaining share for C and D:

`1 -2/3`

= `1/3`

Determine individual shares for A, B, C, and D:

A and B share their portion equally.

A’s share = `2/3 xx 1/2`

= `2/6`

= `1/3`

B’s share = `2/3 xx 1/2`

= `2/6`

= `1/3`

C and D share their remaining portion `1/3` in the ratio of 3 : 2.

C’s share = `1/3 xx 3/5`

= `3/15`

= `1/5`

D’s share = `1/3 xx 2/5`

= `2/15`

Find the common ratio:

A’s share = `1/3`

= `(1 xx 5)/(3 xx 5)`

= `5/15`

B’s share = `1/3`

= `(1 xx 5)/(3 xx 5)`

= `5/15`

C’s share = `1/5`

= `(1 xx 3)/(5 xx 3)`

= `3/15`

D’s share = `2/15`

The ratio of  A, B, C, and D = `5/15 : 5/15 : 3/15 : 2/15` or 5 : 5 : 3 : 2.