Correct Option (2)
The initial petrol price was ₹90 per litre. Following a 10% hike in crude oil prices, the new petrol price is calculated as:
- New price = ₹90 + (10/100) × ₹90 = ₹90 + ₹9 = ₹99 per litre.
A person travels 2200 km monthly, and their car provides a mileage of 16 km per litre. The monthly petrol consumption before the hike was:
- Petrol consumed = 2200 km / 16 km/litre = 137.5 litres.
The total monthly expenditure on petrol at the original price was:
- Total expenditure = 137.5 litres × ₹90/litre = ₹12,375.
To maintain the expenditure at the previous level (₹12,375) with the new petrol price of ₹99 per litre, the quantity of petrol that can be purchased is:
- Petrol quantity = ₹12,375 / ₹99/litre = 125 litres.
With this reduced quantity of petrol, the distance that can now be travelled is:
- New distance = 125 litres × 16 km/litre = 2000 km.
Therefore, the reduction in travel distance required to maintain the previous expenditure level is:
- Reduction in distance = Original distance - New distance = 2200 km - 2000 km = 200 km.
Incorrect Options:
Options 1 (180 km), 3 (220 km), and 4 (240 km) are incorrect because the calculated reduction in travel distance, based on the given petrol price hike, mileage, and original travel, is 200 km.
