Question

A, B, and C are partners sharing in the ratio of 3 : 2 : 1. They admit D for a `1/4`th share. It is agreed that B would retain his original share. The new ratio will be ______.

Answer 1

A, B, and C are partners sharing in the ratio of 3 : 2 : 1. They admit D for a `1/4`th share. It is agreed that B would retain his original share. The new ratio will be 15 : 16 : 5 : 12.

Explanation:

B’s share = `2/6`; D's share = `1/4`; Remaining Share = `1 - 2/6 - 1/4 = 5/12`

This will be divided between A and C in 3 : 1

A’s new share = `5/12 xx 3/4`

= `15/48`

C’s new share = `5/12 xx 1/4`

= `5/48`

B’s new share = `2/6 xx 8/8`

= `16/48`

D’s new share = `1/4 xx 12/12`

=`12/48`

New Share of A, B, C and D = `15/48 : 16/48 : 5/48 : 12/48` or 15 : 16 : 5 : 12