Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 :

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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?

Options:

A . 2 : 3 : 4

B . 6 : 7 : 8

C . 6 : 8 : 9

D . None of these

Answer: Option A

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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