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Q1. 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?

2 : 3 : 4

6 : 7 : 8

6 : 8 : 9

None of these

Accepted Answer

Answer : 2 : 3 : 4

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 × 5x)/100 , (150 × 7x)/100 and (175 × 8x)/100
⇒ 7x, (21x/2) and 14x.

∴ The required ratio = 7x : (21x/2) : 14x
⇒ 14x : 21x : 28x
⇒ 2 : 3 : 4.
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