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Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of increased seats ?

Correct answer: A. 2 : 3 : 4

  • A. 2 : 3 : 4
  • B. 6 : 7 : 8
  • C. 6 : 8 : 9
  • D. None of these

Explanation

Apply each increase to its corresponding ratio term: 5 x 1.40 = 7, 7 x 1.50 = 10.5, and 8 x 1.75 = 14. Multiplying all by 2 gives 14:21:28, which simplifies to 2:3:4. The likely mistake is 6:8:9, which results from applying the percentage increases incorrectly or treating all three increases as the same.

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