Question

A and B share profits and losses in the ratio of 3:4. C
was admitted for 1/5th share. New profit sharing ratio
will be :
(a) 3:4:1
(b) 12:16:7
(c) 16:12:7
(d) None of these​

Answer 1

Answer: (b) 12:16:17

Explanation:

You can get C as 1/5 or 7/35.

You can get A as 4/5 * 3/(3+4) = 12/35

You can get B as 4/5 * 4/(3+4) = 16/35

Answer 2

Given:

The ratio of A and B=3:4

C's share=1/5

To find:

The new profit-sharing ratio

Solution:

The new required ratio is 12:16:7. (Option b)

We can obtain the new ratio by following the given process-

The new share of C=1/5

So, the remaining share will be distributed between A and B in their old ratio.

The remaining raio=1-1/5=4/5

So, the new ratio of A=3/7 of 4/5

=3/7×4/5

=12/35

Similarly, the new ratio of B=4/7 of 4/5

=4/7×4/5

=16/35

The new ratio of C=1/5=7/35

So, the new ratio of A, B, and C=12/35:16/35:7/35

=12:16:7

Therefore, the new required ratio is 12:16:7.