Ratios And Percentages

Step 1: Understanding the question.
We are given the ratio of seats for Mathematics, Physics, and Biology as 5:7:8. The proposal is to increase the seats by 40%, 50%, and 75%, respectively. We need to find the new ratio of increased seats.

Step 2: Calculating the increased seats.
Let the original number of seats for Mathematics, Physics, and Biology be represented as: - Mathematics = 5x - Physics = 7x - Biology = 8x The increase in seats is as follows: - Mathematics: 40% increase = - Physics: 50% increase = - Biology: 75% increase =
Step 3: New ratio of increased seats.
The new ratio of increased seats for Mathematics, Physics, and Biology is: , which simplifies to: . However, we are looking for the ratio of the increased number of seats, which would be: .

Step 4: Conclusion.
The correct answer is (C) 6 : 8, which represents the ratio of increased seats.