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

Question

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)..

\(\Rightarrow(\frac{140}{100}\times5x) , (\frac{150}{100}\times7x) and (\frac{175}{100}\times8x)\)

\(\Rightarrow 7x ,\frac{21x}{2} and 14x.\)

Therefore The required ratio = \(7x :\frac{21x}{2} :14x.\)

\(\Rightarrow\) 14x : 21x : 28x

\(\Rightarrow\)2 : 3 : 4.

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