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The ratio of the first and second train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. In on a particular day, ₹1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:
- a)₹1,250
- b)₹1,000
- c)₹850
- d)₹750
Correct answer is option 'A'. Can you explain this answer?
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The ratio of the first and second train fares between two stations is...
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Understanding the Problem
To solve the problem, we need to analyze the given information about train fares and passenger ratios.
Key Information
- The ratio of first class to second class fares = 3:1
- The ratio of first class to second class passengers = 1:50
- Total amount collected = ₹1325
Calculating Fares
Let the fare of the second class be ₹x.
Then, the fare of the first class = 3x.
Calculating Passengers
- Let the number of first class passengers be 1 (for ease of calculation).
- Therefore, the number of second class passengers = 50.
Calculating Total Revenue
- Total revenue from first class passengers = Number of first class passengers × Fare of first class = 1 × 3x = 3x.
- Total revenue from second class passengers = Number of second class passengers × Fare of second class = 50 × x = 50x.
Setting Up the Equation
According to the problem:
Total revenue = Revenue from first class + Revenue from second class
So, we have:
3x + 50x = 1325
This simplifies to:
53x = 1325
Finding the Fare
Now, solving for x:
x = 1325 / 53 = 25
Thus, the fare for second class = ₹25.
Calculating Revenue from Second Class Passengers
Now we can find the amount collected from second class passengers:
Revenue from second class = Number of second class passengers × Fare of second class
= 50 × 25 = ₹1250.
Conclusion
The amount collected from second class passengers is ₹1250, which corresponds to option 'A'.
To solve the problem, we need to analyze the given information about train fares and passenger ratios.
Key Information
- The ratio of first class to second class fares = 3:1
- The ratio of first class to second class passengers = 1:50
- Total amount collected = ₹1325
Calculating Fares
Let the fare of the second class be ₹x.
Then, the fare of the first class = 3x.
Calculating Passengers
- Let the number of first class passengers be 1 (for ease of calculation).
- Therefore, the number of second class passengers = 50.
Calculating Total Revenue
- Total revenue from first class passengers = Number of first class passengers × Fare of first class = 1 × 3x = 3x.
- Total revenue from second class passengers = Number of second class passengers × Fare of second class = 50 × x = 50x.
Setting Up the Equation
According to the problem:
Total revenue = Revenue from first class + Revenue from second class
So, we have:
3x + 50x = 1325
This simplifies to:
53x = 1325
Finding the Fare
Now, solving for x:
x = 1325 / 53 = 25
Thus, the fare for second class = ₹25.
Calculating Revenue from Second Class Passengers
Now we can find the amount collected from second class passengers:
Revenue from second class = Number of second class passengers × Fare of second class
= 50 × 25 = ₹1250.
Conclusion
The amount collected from second class passengers is ₹1250, which corresponds to option 'A'.
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The ratio of the first and second train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. In on a particular day, ₹1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:a)₹1,250b)₹1,000c)₹850d)₹750Correct answer is option 'A'. Can you explain this answer?
Question Description
The ratio of the first and second train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. In on a particular day, ₹1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:a)₹1,250b)₹1,000c)₹850d)₹750Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The ratio of the first and second train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. In on a particular day, ₹1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:a)₹1,250b)₹1,000c)₹850d)₹750Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the first and second train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. In on a particular day, ₹1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:a)₹1,250b)₹1,000c)₹850d)₹750Correct answer is option 'A'. Can you explain this answer?.
The ratio of the first and second train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. In on a particular day, ₹1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:a)₹1,250b)₹1,000c)₹850d)₹750Correct answer is option 'A'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The ratio of the first and second train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. In on a particular day, ₹1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:a)₹1,250b)₹1,000c)₹850d)₹750Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the first and second train fares between two stations is 3:1 and that of the numbers of passengers travelling between the two stations by first and second classes is 1:50. In on a particular day, ₹1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:a)₹1,250b)₹1,000c)₹850d)₹750Correct answer is option 'A'. Can you explain this answer?.
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