The wording is the key to this people-counting riddle.
It says that you are in a room with 200 people. That means there are 200 other people in the room, plus you:
200 + 1 = 201 people
Then 75 people leave:
201 − 75 = 126
Next, 50 people arrive:
126 + 50 = 176
The intended answer is 176 people.
Some readers may answer 175 by assuming the original 200 already includes you, but the phrase “with 200 people” usually creates the extra-person twist.
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