Out of the total number of players, 100/3 % are in hotel X and the remaining are in hotel Y. If 20 players from hotel Y are shifted to hotel X, then the number of players in hotel X becomes 50% of the total number of players. If 20 players from hotel X are shifted to hotel Y, then the number of players in hotel X becomes what percent of the total number of players?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 16.67%.
| Understanding |
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The logic used here is: Let total players = x Players in hotel X = 100 / 3 % of x = x / 3 Players in hotel Y = x - x / 3 = 2x / 3 According to the question; x / 3 + 20 = 50 / 100 × x x = 120 Now, Players in hotel X = 120 / 3 = 40 Players in hotel Y = 240 / 3 = 80 If 20 players from hotel X are shifted to hotel Y, then the number of players in hotel X= 40 - 20 = 20 The number of players in hotel X becomes what percent of the total number of players = 20 / 120 × 100 = 16.67% Hence, Option 1 is the correct answer. |