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?

Solution(By Examveda Team)

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)
  $$ = \left( {\frac{{140}}{{100}} \times 5x} \right),$$     $$\left( {\frac{{150}}{{100}} \times 7x} \right)$$   and $$\left( {\frac{{175}}{{100}} \times 8x} \right)$$
$$\eqalign{ & = 7x,\,\,\frac{{21x}}{2}{\text{ and }}14x \cr & \therefore {\text{The required ratio}} \cr & = 7x:\frac{{21x}}{2}:14x \cr & = 14x:21x:28x \cr & = 2:3:4 \cr} $$