Application Question
Medium difficulty • Concept in a practical situation
Question 1
Applied ConceptA and B are partners sharing profits in the ratio of 3:1. They admit C for 1/4 share in the future profits. With reference to the concept of new profit sharing ratio, calculate the new profit sharing ratio of A, B and C, assuming C acquires his share from A and B in their old ratio.
- C's share is 1/4. Remaining share for A and B is 1 minus 1/4 equals 3/4. A's new share equals (3/4) of (3/4) equals 9/16. B's new share equals (1/4) of (3/4) equals 3/16.
- C's share expressed with denominator 16 is 4/16. New profit sharing ratio of A, B and C is 9:3:4.
- This means A sacrifices 3/16 (from 12/16 to 9/16) and B sacrifices 1/16 (from 4/16 to 3/16); the sacrificing ratio of A to B is 3:1, which is the same as their old ratio.