A room contains 200 people, 25% of whom are graduates. A group of people, 30% of whom are graduates, leave the room. Of the remaining people, 10% are graduates. How many people did leave the room?
Created: 6 years ago |
Updated: 2 years ago
best des
Let the number of people leaving be L.
Remaining people = 200 - L
Total graduates = 25% of 200 = 50
Leaving graduates = 30% of L = 0.3L
Remaining graduates = 50 - 0.3L
ATQ, 10% of (200 - L) = 50 - 0.3L
or, 20 - 0.1L = 50 - 0.3L
or, 0.3L - 0.1L = 50 - 20
or, 0.2L = 30
or, L = 30 / 0.2 = 150
Md Azizur Rahman
Founder of Satt
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