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. Calculate the new profit sharing ratio.​

Answer 1

Answer:

1:1

Explanation:

Old share of Q=5/16

of R= 3/16

Now as they acquired some share from P

New share of Q= 5/16+ 3/16=8/16 or 1/2

of R= 3/16 +5/16=8/16 or 1/2

Also, New Ratio becomes 1:1

Answer 2

Given:

The profit-sharing ratio of P, Q, and R=8:5:3

Share taken by Q=3/16th

Share taken by R=5/16th

To find:

The new profit-sharing ratio

Solution:

The new profit-sharing ratio is 1:1.

We can find the new ratio by following the steps given below-

We know that the new profit-sharing ratio is the sum of the old ratio and the gained ratio.

So, new profit-sharing ratio=Old profit-sharing ratio+gaining ratio

P, Q, and R shared profits in 8:5:3.

On P's retirement, Q and R have gained 3/16th and 5/16th of P's share

Q's gained share=3/16

Similarly, R's gained share=5/16

Now, the new profit-sharing ratio of Q=Q's old ratio+gaining ratio

=5/16+3/16

=8/16

Also, the new profit-sharing ratio of R=R's old ratio+gaining ratio

=3/16+5/16

=8/16

So, the profit-sharing ratio of Q and R=8/16:8/16

=1:1

Therefore, the new profit-sharing ratio is 1:1.