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?

Question

Accepted Answer

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

⟹ 7x,	21x	and 14x.
	2

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

⟹ 14x : 21x : 28x

⟹ 2 : 3 : 4.

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?

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