Multiple choice

Passage

S.116-120) Directions for questions: 3 people A, B and C were playing a game in which the person who loses in a particular round will double the money available with the other players at the beginning of the round. They played 3 rounds and each person lost a round in the order A, B and C i.e. A lost the first round, B the second and C lost the third round. At the end of the game A, B and C had Rs.1000, 2000 and 3000 respectively. Apart from the money in the system, no other amount was either taken out or added to the game.

Q.117) Find the profit percentage of B after the three games?

  1. a) 18.18%

  2. b) 14.28%

  3. c) 11.11%

  4. d) cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Working backwards: End state A=1000, B=2000, C=3000. Round 3 (C lost): A=500, B=1000, C=4500. Round 2 (B lost): A=250, B=3500, C=2250. Round 1 (A lost): A=2000, B=1750, C=1125. B started with 1750 and ended with 2000. Profit = (250/1750) * 100 = 14.28%.

AI explanation

Working backwards from the final amounts of 1000, 2000, and 3000, the total money in the system is 6000. Before C lost the third round, A had 500, B had 1000, and C had 4500. Before B lost the second round, A had 250, B had 3250, C had 2250, and before A lost the first round, the initial amounts were A with 4125, B with 1625, and C with 250. Using the profit percentage formula of (final minus initial) divided by initial times 100, B's profit is (2000 minus 1625) divided by 1625 times 100, resulting in 14.28 percent.

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