Seats for Mathematics,Physics and Biology in | vedclass

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(A) Let the initial number of seats for Mathematics,Physics,and Biology be $5x$,$7x$,and $8x$ respectively.After the proposed increases of $40\%$,$50\

Vedclass · Accepted Answer

$2:3:4$

Vedclass · Answer

(A) Let the initial number of seats for Mathematics,Physics,and Biology be $5x$,$7x$,and $8x$ respectively.After the proposed increases of $40\%$,$50\%$,and $75\%$,the new number of seats will be:Mathematics: $5x + (40\% 	ext{ of } 5x) = 5x + 2x = 7x$Physics: $7x + (50\% 	ext{ of } 7x) = 7x + 3.5x = 10.5x$Biology: $8x + (75\% 	ext{ of } 8x) = 8x + 6x = 14x$The ratio of the increased seats is $7x : 10.5x : 14x$.To simplify,multiply by $2$ to remove the decimal: $14x : 21x : 28x$.Dividing by $7$,we get the ratio $2:3:4$.

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 the increased seats?

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