Multiple choice

A and B are partners in a business sharing profits in the ratio of $4 : 5$. They admit C into their business and they decided to share the profit in the ratio of $2 : 3: 1.$ To accommodate C , by what ratio do A and B have to give up the share of profits ?

  1. $3:1$
  2. $2:1$
  3. $1:2$
  4. $1:3$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A and B initially share in 4:5 ratio (total 9). After C joins, the ratio is 2:3:1 (total 6). To compare, normalize the shares to a common denominator (e.g., 18): A:B was 8:10, now A:B:C is 6:9:3. A gives up 8-6=2 parts and B gives up 10-9=1 part, so the ratio of sacrifice is 2:1.

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