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An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?
- a)27.27%
- b)56.25 %
- c)37.5%
- d)128.5%
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20...
For Diesel.
Cost / Km = 32 / 20 = Rs. 1.6 / km
For 50000 km, total cost = 50000 x 1.6 = Rs. 80,000
For Gas.
Cost / Km = 25 / 50 = Rs. 0.5 / km
For 50000 km, fuel cost = 50000 * 0.5 = Rs. 25,000
Total Cost of running the auto on gas = Cost of the cylinder + Cost of Gas 35,000
= 25000 + 10000 = Rs.
Percentage by which the cost of journey by diesel is more than that by gas
= (80000 - 35000 / 35000) x 100 = 128.5%
Hence, option 4.
Cost / Km = 32 / 20 = Rs. 1.6 / km
For 50000 km, total cost = 50000 x 1.6 = Rs. 80,000
For Gas.
Cost / Km = 25 / 50 = Rs. 0.5 / km
For 50000 km, fuel cost = 50000 * 0.5 = Rs. 25,000
Total Cost of running the auto on gas = Cost of the cylinder + Cost of Gas 35,000
= 25000 + 10000 = Rs.
Percentage by which the cost of journey by diesel is more than that by gas
= (80000 - 35000 / 35000) x 100 = 128.5%
Hence, option 4.
Most Upvoted Answer
An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20...
Given:
- Diesel price: Rs. 32/litre
- Diesel mileage: 20 km/litre
- Gas price: Rs. 25/litre
- Gas mileage: 50 km/litre
- Gas cylinder cost: Rs. 10,000
- Distance to be covered: 50,000 km
Approach:
To find the percentage by which the cost of the expensive fuel system (gas) is more than the cheaper one (diesel), we need to compare the total costs of running the auto on diesel and gas and calculate the percentage difference.
Calculation:
1. Cost of running on diesel:
- Total diesel required = Distance / Diesel mileage = 50,000 km / 20 km/litre = 2,500 litres
- Total cost of diesel = Total diesel required * Diesel price = 2,500 litres * Rs. 32/litre = Rs. 80,000
2. Cost of running on gas:
- Total gas required = Distance / Gas mileage = 50,000 km / 50 km/litre = 1,000 litres
- Total cost of gas = Total gas required * Gas price = 1,000 litres * Rs. 25/litre = Rs. 25,000
3. Total cost of running on gas (including cylinder cost) = Cost of gas + Cost of cylinder = Rs. 25,000 + Rs. 10,000 = Rs. 35,000
4. Percentage difference in cost = ((Cost of expensive fuel system - Cost of cheaper fuel system) / Cost of cheaper fuel system) * 100
= ((Rs. 35,000 - Rs. 80,000) / Rs. 80,000) * 100
= (-Rs. 45,000 / Rs. 80,000) * 100
= -56.25%
Since we are asked for the percentage by which the cost of the expensive fuel system is more than the cheaper one, the answer is positive. Therefore, the cost of the expensive fuel system (gas) is 56.25% more than the cost of the cheaper one (diesel).
Hence, the correct answer is option D) 128.5%.
- Diesel price: Rs. 32/litre
- Diesel mileage: 20 km/litre
- Gas price: Rs. 25/litre
- Gas mileage: 50 km/litre
- Gas cylinder cost: Rs. 10,000
- Distance to be covered: 50,000 km
Approach:
To find the percentage by which the cost of the expensive fuel system (gas) is more than the cheaper one (diesel), we need to compare the total costs of running the auto on diesel and gas and calculate the percentage difference.
Calculation:
1. Cost of running on diesel:
- Total diesel required = Distance / Diesel mileage = 50,000 km / 20 km/litre = 2,500 litres
- Total cost of diesel = Total diesel required * Diesel price = 2,500 litres * Rs. 32/litre = Rs. 80,000
2. Cost of running on gas:
- Total gas required = Distance / Gas mileage = 50,000 km / 50 km/litre = 1,000 litres
- Total cost of gas = Total gas required * Gas price = 1,000 litres * Rs. 25/litre = Rs. 25,000
3. Total cost of running on gas (including cylinder cost) = Cost of gas + Cost of cylinder = Rs. 25,000 + Rs. 10,000 = Rs. 35,000
4. Percentage difference in cost = ((Cost of expensive fuel system - Cost of cheaper fuel system) / Cost of cheaper fuel system) * 100
= ((Rs. 35,000 - Rs. 80,000) / Rs. 80,000) * 100
= (-Rs. 45,000 / Rs. 80,000) * 100
= -56.25%
Since we are asked for the percentage by which the cost of the expensive fuel system is more than the cheaper one, the answer is positive. Therefore, the cost of the expensive fuel system (gas) is 56.25% more than the cost of the cheaper one (diesel).
Hence, the correct answer is option D) 128.5%.
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Community Answer
An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20...
For Diesel.
Cost / Km = 32 / 20 = Rs. 1.6 / km
For 50000 km, total cost = 50000 x 1.6 = Rs. 80,000
For Gas.
Cost / Km = 25 / 50 = Rs. 0.5 / km
For 50000 km, fuel cost = 50000 * 0.5 = Rs. 25,000
Total Cost of running the auto on gas = Cost of the cylinder + Cost of Gas 35,000
= 25000 + 10000 = Rs.
Percentage by which the cost of journey by diesel is more than that by gas
= (80000 - 35000 / 35000) x 100 = 128.5%
Hence, option 4.
Cost / Km = 32 / 20 = Rs. 1.6 / km
For 50000 km, total cost = 50000 x 1.6 = Rs. 80,000
For Gas.
Cost / Km = 25 / 50 = Rs. 0.5 / km
For 50000 km, fuel cost = 50000 * 0.5 = Rs. 25,000
Total Cost of running the auto on gas = Cost of the cylinder + Cost of Gas 35,000
= 25000 + 10000 = Rs.
Percentage by which the cost of journey by diesel is more than that by gas
= (80000 - 35000 / 35000) x 100 = 128.5%
Hence, option 4.
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An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer?
Question Description
An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer?.
An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer?.
Solutions for An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer?, a detailed solution for An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice An auto runs on diesel, priced at Rs. 32/litre, giving a mileage of 20 km/litre. The same auto when run on gas gives a mileage of 50 km/litre. A cylinder of gas costs Rs. 10,000 and gas is priced at Rs. 25/litre. The cost of running a vehicle on gas is the sum of the cost of the cylinder and the cost of gas. If the auto has to cover a distance of 50000 km using one of the two fuel systems for the entire distance, then what is the percentage by which the cost of the expensive fuel system is more than that of the cheaper one?a)27.27%b)56.25 %c)37.5%d)128.5%Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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