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1. 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?

A. 2 : 3 : 4

B. 6 : 7 : 8

C. 6 : 8 : 9

D. None of these

Solution:

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)

= (\frac{140}{100} \times 5 x),

(\frac{150}{100} \times 7 x)

and

(\frac{175}{100} \times 8 x)

\begin{aligned} = 7 x, \frac{21 x}{2} and 14 x \\ ∴ The required ratio \\ = 7 x : \frac{21 x}{2} : 14 x \\ = 14 x : 21 x : 28 x \\ = 2 : 3 : 4 \end{aligned}

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