The seats for Mathematics, English and Chemistry in a school are in the ratio of 6 : 4 : 7. If these seats are increased by 20%, 40% and 60%, respectively, the ratio of the increased seats is :
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9 : 7 : 8
Incorrect Answer9 : 7 : 14
Correct Answer1 : 2 : 3
Incorrect Answer7 : 9 : 14
Incorrect AnswerExplanation:
- Initially, the seats are in the ratio of 6:4:7 for Mathematics, English, and Chemistry.
- Assume the number of seats for Mathematics, English, and Chemistry are 6x, 4x, and 7x respectively.
- Seats increased:
- Mathematics: 20% increase = 6x * 1.2 = 7.2x
- English: 40% increase = 4x * 1.4 = 5.6x
- Chemistry: 60% increase = 7x * 1.6 = 11.2x
- New ratio of seats: 7.2x : 5.6x : 11.2x.
- Simplify the ratio: Divide each term by 0.8x to get 9:7:14.
- 2: 9 : 7 : 14 is the correct option.
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By: Parvesh Mehta