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The ratio of occupied seats to the vacant seats in a bus is 1:4 By the time the bus started some more passengers tried to enter the bus which would have made the ratio 4:1 But as they failed in the attempt they were seated in an empty bus with same capacity as the previous one.What is the ratio of occupied seats to the vacant seats in this bus ?
  • a)
    3:4
  • b)
    4:1
  • c)
    3:2
  • d)
    2:3
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
The ratio of occupied seats to the vacant seats in a bus is 1:4 By the...
Let there be 100 seats in each bus. Initial ratio = 1:4
So, the initial people seated = 20
New ratio = 4:1
So, new people = 60
In the new bus, the ratio = 60 : 40 = 3:2
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Most Upvoted Answer
The ratio of occupied seats to the vacant seats in a bus is 1:4 By the...
Given Information:
- The ratio of occupied seats to vacant seats in the original bus is 1:4.
- Some passengers attempted to enter the bus, which would have made the ratio 4:1, but they failed.

Calculations:
- Let the original bus have a total of 5 seats (1 occupied and 4 vacant) to maintain the 1:4 ratio.
- If the additional passengers had successfully entered, the new ratio would have been 4:1, which means there would be 4 occupied seats and 1 vacant seat.
- Since the passengers failed to board the bus, they were seated in a new bus with the same capacity as the original bus (5 seats).

Final Ratio Calculation:
- In the new bus, the ratio of occupied seats to vacant seats is 1:4 (4 vacant seats and 1 occupied seat).
- Therefore, the ratio of occupied seats to vacant seats in the new bus is 1:4, which simplifies to 1:4 or 3:12, which further simplifies to 3:2.
Therefore, the correct answer is option C) 3:2.
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The ratio of occupied seats to the vacant seats in a bus is 1:4 By the time the bus started some more passengers tried to enter the bus which would have made the ratio 4:1 But as they failed in the attempt they were seated in an empty bus with same capacity as the previous one.What is the ratio of occupied seats to the vacant seats in this bus ?a)3:4b)4:1c)3:2d)2:3Correct answer is option 'C'. Can you explain this answer?
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