The cars, scooters and cycles parked outside a college are in the ratio 5 : 8 : 12. Next term the number of cars goes up by 20%, the number of scooters falls by 25% and the number of cycles goes up by 50%. The new ratio of cars to scooters to cycles is:

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Accepted Answer

1 : 1 : 3. Apply each change to its own quantity: 5 × 1.20 = 6, 8 × 0.75 = 6, 12 × 1.50 = 18, giving 6 : 6 : 18 = 1 : 1 : 3. A ratio survives percentage changes unchanged only when every quantity changes by the same percent, so 5 : 8 : 12 is wrong here; and dividing 6 : 6 : 18 carelessly gives 1 : 1 : 2 instead of 1 : 1 : 3.

The cars, scooters and cycles parked outside a college are in the ratio 5 : 8 : 12. Next term the number of cars goes up by 20%, the number of scooters falls by 25% and the number of cycles goes up by 50%. The new ratio of cars to scooters to cycles is:

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