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?

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?Solution: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).⇒ (140/100) × 5x , (150/100) × 7x and (175/100) × 8x⇒ 7x, 21x/2 and 14x.The required ratio = 7x : 21x/2 : 14x= 14x : 21x : 28x= 2 : 3 : 4.