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?

Answer 1

Let the number of seats for Mathematics, Physics and Biology be 5x,7x and 8x respectively.

Now, the number of increased seats of maths can be written as 140% of 5x.
similarly, for physics, it is 150% of 7x and for biology, it is 175% of 8x.

so for maths, (140/100)5x

for physics, (150/100)7x

for biology, (175/100)8x

therefore, M:P:B = 7x: 21x/2:14x

                            = 14x:21x:28x

                            = 2:3:4