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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: 2 : 3 : 4

Explanation:

Originally, let the number of seats for Mathematics, Physics and Biology be 5x, 7x and 8x respectively.


Number of increased seats are (140% of 5x), (150% of 7x) and (175% of 8x).



140 x 5x , 150 x 7x and 175 x 8x
100 100 100



⟹ 7x, 21x and 14x.
2



∴ The required ratio = 7x : 21x : 14x
2


⟹ 14x : 21x : 28x


⟹ 2 : 3 : 4.


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