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

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6 : 7 : 8

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8 : 6 : 7

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3 : 2 : 4

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Solution

The correct option is A $2 : 3 : 4$
Originally, let the number of seats for Mathematics, Physics and Biology be $5 x, 7 x$ and $8 x$ respectively.
Number of increased seats are $(140 % of 5 x), (150 % of 7 x)$ and $(175 % of 8 x)$
or, $(\frac{140}{100} \times 5 x), (\frac{150}{100} \times 7 x)$ and $(\frac{175}{100} \times 8 x)$
or, $7 x, \frac{21 x}{2}$ and $14 x$
$∴$ Required ratio $= 7 x : \frac{21 x}{2} : 14 x$
$= 14 x : 21 x : 28 x$
$= 2 : 3 : 4$

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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?

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?