Railways Exam  >  Railways Questions  >   The ratio of the first and second train fare... Start Learning for Free
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?
Verified Answer
The ratio of the first and second train fares between two stations is...
53x = 1325
x = 1325/53 = 25
∴ Amount collected from second Class = 50x
25 x 50 = Rs. 1250
View all questions of this test
Most Upvoted Answer
The ratio of the first and second train fares between two stations is...
Solution:

Given that,
The ratio of the first and second train fares between two stations is 3:1.
Let the first and second train fares be 3x and x respectively.
Therefore, the ratio of the fares is 3x:x=3:1.

The ratio of the numbers of passengers travelling between the two stations by first and second classes is 1:50.
Let the number of passengers travelling by first and second classes be x and 50x respectively.
Therefore, the ratio of the numbers of passengers travelling by first and second classes is x:50x=1:50.

On a particular day, ₹1325 are collected from passengers travelling between the two stations.
Let the amount collected from first class passengers be y.
Therefore, the amount collected from second class passengers will be 1325-y.

Now, we can use the above information to form the following equation:

3x * x + y * x = 1325
=> 3x^2 + xy = 1325

Also, from the given ratio of passengers travelling in first and second classes, we have:

y : (1325 - y) = 1 : 50
=> y = 1325/51

Substituting the value of y in the equation 3x^2 + xy = 1325, we get:

3x^2 + x * (1325/51) = 1325
=> 3x^2 + 25x = 825

Solving the above equation, we get x = 25.

Therefore, the amount collected from the second class passengers is:

1325 - y = 1325 - (1325/51) = ₹1,250

Hence, the correct option is (a) ₹1,250.
Explore Courses for Railways exam

Similar Railways Doubts

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?.
Solutions 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? in English & in Hindi are available as part of our courses for Railways. Download more important topics, notes, lectures and mock test series for Railways Exam by signing up for free.
Here you can find the meaning of 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? defined & explained in the simplest way possible. Besides giving the explanation of 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?, a detailed solution 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? has been provided alongside types of 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? theory, EduRev gives you an ample number of questions to practice 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? tests, examples and also practice Railways tests.
Explore Courses for Railways exam

Top Courses for Railways

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev