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A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
- a)Rs. 8
- b)Rs. 7.98
- c)Rs. 6.2
- d)Rs. 8.1
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for t...
Average cost per litre of petrol = Total amount / Total quantity of petrol
Re. 4000 is spent each year, so total amount spent = 3 * Rs. 4000 = Rs. 12,000
Total quantity of petrol consumed in 3 years = (4000/7.50) + (4000/8) + (4000/8.50) litres
= 533.3 + 500 + 470.6 = 1505
Average cost = Total amount / Total quantity
= 12000/1504 = 7.98
To find quickly, you can take cube root of (7.50 * 8 * 8.50), and it will be slightly less than 8.
Most Upvoted Answer
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for t...
Problem:
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
Solution:
To find the average cost per litre of petrol, we need to calculate the total amount spent on petrol over three years and divide it by the total amount of petrol purchased.
Step 1: Calculate the total amount spent on petrol over three years:
- In the first year, the car owner spends Rs. 4000 on petrol at the rate of Rs. 7.50 per litre. So, the amount of petrol purchased in the first year is Rs. 4000 / Rs. 7.50 = 533.33 litres.
- In the second year, the car owner spends Rs. 4000 on petrol at the rate of Rs. 8 per litre. So, the amount of petrol purchased in the second year is Rs. 4000 / Rs. 8 = 500 litres.
- In the third year, the car owner spends Rs. 4000 on petrol at the rate of Rs. 8.50 per litre. So, the amount of petrol purchased in the third year is Rs. 4000 / Rs. 8.50 = 470.59 litres.
The total amount of petrol purchased over three years is 533.33 + 500 + 470.59 = 1503.92 litres.
Step 2: Calculate the total amount spent on petrol over three years:
The total amount spent on petrol over three years is Rs. 4000 + Rs. 4000 + Rs. 4000 = Rs. 12000.
Step 3: Calculate the average cost per litre of petrol:
The average cost per litre of petrol is Rs. 12000 / 1503.92 = Rs. 7.98 (approximately).
Therefore, the average cost per litre of petrol is approximately Rs. 7.98.
Answer:
The average cost per litre of petrol, when the car owner spends Rs. 4000 each year, is approximately Rs. 7.98. Hence, option B is the correct answer.
A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?
Solution:
To find the average cost per litre of petrol, we need to calculate the total amount spent on petrol over three years and divide it by the total amount of petrol purchased.
Step 1: Calculate the total amount spent on petrol over three years:
- In the first year, the car owner spends Rs. 4000 on petrol at the rate of Rs. 7.50 per litre. So, the amount of petrol purchased in the first year is Rs. 4000 / Rs. 7.50 = 533.33 litres.
- In the second year, the car owner spends Rs. 4000 on petrol at the rate of Rs. 8 per litre. So, the amount of petrol purchased in the second year is Rs. 4000 / Rs. 8 = 500 litres.
- In the third year, the car owner spends Rs. 4000 on petrol at the rate of Rs. 8.50 per litre. So, the amount of petrol purchased in the third year is Rs. 4000 / Rs. 8.50 = 470.59 litres.
The total amount of petrol purchased over three years is 533.33 + 500 + 470.59 = 1503.92 litres.
Step 2: Calculate the total amount spent on petrol over three years:
The total amount spent on petrol over three years is Rs. 4000 + Rs. 4000 + Rs. 4000 = Rs. 12000.
Step 3: Calculate the average cost per litre of petrol:
The average cost per litre of petrol is Rs. 12000 / 1503.92 = Rs. 7.98 (approximately).
Therefore, the average cost per litre of petrol is approximately Rs. 7.98.
Answer:
The average cost per litre of petrol, when the car owner spends Rs. 4000 each year, is approximately Rs. 7.98. Hence, option B is the correct answer.
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A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?a)Rs. 8b)Rs. 7.98c)Rs. 6.2d)Rs. 8.1Correct answer is option 'B'. Can you explain this answer?
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A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?a)Rs. 8b)Rs. 7.98c)Rs. 6.2d)Rs. 8.1Correct answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?a)Rs. 8b)Rs. 7.98c)Rs. 6.2d)Rs. 8.1Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car owner buys petrol at Rs.7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year?a)Rs. 8b)Rs. 7.98c)Rs. 6.2d)Rs. 8.1Correct answer is option 'B'. Can you explain this answer?.
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