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Students in three hostels are in the ratio 2:3:5. If each hostel has 5 more students than before, the new ratio becomes 5:7:11. What is the total number of students after the increase?
- 120
- 110
- 112
- 130
Correct answer: 112
Solution
Let the original numbers be 2x, 3x, and 5x. After adding 5 to each, they become 2x+5, 3x+5, and 5x+5, which are in the ratio 5:7:11. Solving gives x = 21, so the total after increase is 42+5 + 63+5 + 105+5 = 112.
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