Seats for English, History, and Geography in a school are in the ratio 3 : 4 : 6. There is a proposal to increase these seats by 20%, 25%, and 50% respectively. What will be the new ratio of increased seats?

Question: Seats for English, History, and Geography in a school are in the ratio 3 : 4 : 6. There is a proposal to increase these seats by 20%, 25%, and 50% respectively. What will be the new ratio of increased seats?

Solution:
Originally, let the number of seats for English, History and Geography 3x, 4x, 6x respectively.

Number of increased seats are,
⇒ (120% of 3x), (125% of 4x) and (150% of 6x)
⇒ (120/100) × 3x, (125/100) × 4x and (150/100) × 6x
⇒ 18x/5, 5x, and 9x

∴ New ratio of, English : History : Geography = 18x/5 : 5x : 9x
= 18x : 25x : 45x
= 18 : 25 : 45