QUESTION

CSAT

Easy

Maths

Prelims 2025

The petrol price shot up by 10% as a result of the hike in crude oil prices. The price of petrol before the hike was ₹90 per litre. A person travels 2200 km every month and his car gives a mileage of 16 km per litre. By how many km should he reduce his travel if he wants to maintain his expenditure at the previous level?

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Explanation

Let the total monthly expenditure before and after the price hike remain the same.

Given: Original petrol price = ₹ $90$ /litre Mileage = $16$ km/litre Distance = $2200$ km/month New petrol price = ₹ $90 + 10\%$ of ₹ $90 = ₹99$ /litre

Before price hike: Expenditure = $(2200 \div 16) \times 90$

After price hike: Expenditure = $(d \div 16) \times 99$

Since expenditure remains the same, $(d \div 16) \times 99 = (2200 \div 16) \times 90$ $99d = 2200 \times 90$ $d = (2200 \times 90) \div 99 = 2000$ km