The price of petrol shot up by 5%. Before the hike, the price was Rs. 82 per litre. A man travels 3045 km every month and his car…

Question

The price of petrol shot up by 5%. Before the hike, the price was Rs. 82 per litre. A man travels 3045 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 Rs.) on the man's travel due to the hike in the petrol prices?

1. A. ₹820
2. B. ₹832 (Correct answer)
3. C. ₹845
4. D. ₹850

Correct Answer

Option B — ₹832

Detailed Solution & Explanation

The correct answer is ₹832.

Key Points

• Find the monthly fuel consumption: $3045 \div 15 = 203$ litres.
• The price rise is $5\%$ of ₹82 $= ₹4.10$ per litre.
• Extra monthly spend $= 203 \times 4.10 = ₹832.30 \approx ₹832$.

Additional Information

• Only the increase is asked for, so the base price of ₹82 never needs to be multiplied out in full — a shortcut worth spotting under time pressure.
• Working in litres first keeps the arithmetic clean; converting to money at the end avoids carrying decimals through the division.
• Had the question asked for the new total, it would be $203 \times 86.10 = ₹17{,}478.30$.

प्रश्न (हिन्दी में)

पेट्रोल की कीमत में 5% की वृद्धि हुई। बढ़ोतरी से पहले, कीमत ₹82 प्रति लीटर थी। एक आदमी हर महीने 3045 किलोमीटर की यात्रा करता है और उसकी कार 15 किलोमीटर प्रति लीटर का माइलेज देती है। पेट्रोल की कीमतों में बढ़ोतरी के कारण आदमी की यात्रा पर मासिक खर्च (निकटतम रुपये में) में कितनी वृद्धि हुई?

1. A. ₹820
2. B. ₹832
3. C. ₹845
4. D. ₹850