The price of petrol shot up by 5%. Before the hike, the price was ₹82 per litre. A man travels 3,045 km every month and his car gives a mileage of 15 km per litre. What is the increase in the monthly expenditure (to the nearest ₹) on the man’s travel due to the hike in the petrol prices?

The correct answer is ₹832.

We are given the following information:

- Price of petrol before hike = ₹82 per litre
- Percentage hike in price = 5%
- Distance travelled per month = 3,045 km
- Car mileage = 15 km per litre

Step 1: Find the number of litres of petrol consumed per month.

The petrol consumed each month is the total distance divided by the mileage:

\text{Litres consumed}=\frac{3045}{15}=203\text{litres}

Step 2: Find the increase in price per litre due to the hike.

A 5% hike on the original price of ₹82 per litre gives:

\text{Increase per litre}=\frac{5}{100}\times 82=0.05\times 82=\text{₹4.10 per litre}

Step 3: Calculate the total increase in monthly expenditure.

The man consumes 203 litres per month. The additional cost he now bears due to the hike is:

\text{Total increase}=203\times 4.10=\text{₹832.30}

Rounding to the nearest ₹, the increase in monthly expenditure = ₹832.