The numbers of seats for Arts, Commerce and Science in a college are in the ratio 5 : 6 : 8. There is a proposal to increase these seats by 20%, 25% and 50% respectively. What will be the ratio of the increased seats?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 4 : 5 : 8
Increase each term of the ratio by its own percentage, that is, multiply it by its own factor, then clear the decimals.
Arts \(=5\times1.2=6\)
Commerce \(=6\times1.25=7.5\)
Science \(=8\times1.5=12\)
\(6:7.5:12=12:15:24\)
Dividing by 3: \(4:5:8\)
The new ratio is 4 : 5 : 8.