Question

P, Q and R have been sharing profits in the ratio of 8 : 5 : 3. P retires. Q takes 3/16th share from P and R takes 5/16th share from P. New profit sharing ratio will be ______.

Options

• 1 : 1

• 10 : 6

• 9 : 7

• 5 : 3

Answer 1

P, Q and R have been sharing profits in the ratio of 8 : 5 : 3. P retires. Q takes 3/16th share from P and R takes 5/16th share from P. New profit sharing ratio will be 1 : 1.

Explanation:

P’s Old share = `8/16`

Q’s Old share = `5/16`

R’s Old share = `3/16`

New ratio = Old ratio + Gain

Q’s New share = `5/16+3/16=8/16`

R’s New share = `3/16+5/16=8/16`

∴ Q : R = `8/16:8/16`

= 1 : 1