Percentage increase in ratios..

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The question is:

Seats for Math,Physics and biology in a school are in ratio 5:7:8. There is a proposal to increase these seats by 40%,50% and 75% respectively.What will be ratio of increased seats?

Apparently I am currently increasing 5 by 40% and 7 by 50% and 8 by 75% . But this is not giving the correct answer. Any suggestions what should be done here ??

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2 Answers

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Let number of seats be $5x,7x$ and $8x$. Number of seats after increment =$7x,21x/2,14x$. Therefore the new ratio is $14:21:28=2:3:4$.isn't this the answer?

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To increase, first find the sum of ratio, 5 by 20 times 40 is 10 continue you'll get 10:17.5:30

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