Multiple choice

A, B and C intended to divide a certain sum among themselves In the ratio 2 : 3 : 4. By mistake, they divided it in the ratio 1/2 : 1/3 : 1/4 . How many of A, B and C lost due to this mistake?

  1. 0

  2. 2

  3. 1

  4. 3

  5. None
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Original ratio 2:3:4 means shares are 4/18, 6/18, 8/18 of the total. Mistake ratio 1/2:1/3:1/4 is 6:4:3, meaning shares are 6/13, 4/13, 3/13. Comparing 4/18 (approx 0.22) vs 6/13 (approx 0.46) for A, 6/18 (0.33) vs 4/13 (0.30) for B, and 8/18 (0.44) vs 3/13 (0.23) for C. A gained, B lost, C lost. Two people lost.

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