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The ratio of the first and second-class fares between the two stations is 6 : 4 and the number of passengers traveling by first and second-class is 1 : 30. If Rs. 2100 is collected as fare, what is the amount collected from first class passengers?
  • a)
    Rs.250
  • b)
    Rs. 200
  • c)
    Rs. 150
  • d)
    Rs. 100
  • e)
    Rs. 225
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The ratio of the first and second-class fares between the two stations...
Ratio of the amounts collected from 1st and 2nd class = (6 × 1): (4 × 30) = 1 : 20.
∴ Amount collected from 1st class passengers = 1/21 x 2100 = 100
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Most Upvoted Answer
The ratio of the first and second-class fares between the two stations...
Ratio of the amounts collected from 1st and 2nd class = (6 × 1): (4 × 30) = 1 : 20.
∴ Amount collected from 1st class passengers = 1/21 x 2100 = 100
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Community Answer
The ratio of the first and second-class fares between the two stations...

Given Information:
- Ratio of first and second-class fares: 6 : 4
- Ratio of passengers traveling by first and second-class: 1 : 30
- Total fare collected: Rs. 2100

Calculations:
- Let the fare collected from first-class passengers be 6x and from second-class passengers be 4x.
- Let the number of first-class passengers be y and the number of second-class passengers be 30y.

- Since the total fare collected is Rs. 2100, we have:
6x * y + 4x * 30y = 2100
6xy + 120xy = 2100
126xy = 2100
xy = 2100 / 126
xy = 100 / 6
xy = 50 / 3

- We are interested in finding the amount collected from first-class passengers, which is 6x. Substituting the value of xy in the equation:
6x = 6 * 50 / 3
6x = 100
x = 100 / 6
x = 50 / 3

- Therefore, the amount collected from first-class passengers is 6x = 6 * 50 / 3 = Rs. 100.

Therefore, the correct answer is option D) Rs. 100.
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The ratio of the first and second-class fares between the two stations is 6 : 4 and the number of passengers traveling by first and second-class is 1 : 30. If Rs. 2100 is collected as fare, what is the amount collected from first class passengers?a)Rs.250b)Rs. 200c)Rs. 150d)Rs. 100e)Rs. 225Correct answer is option 'D'. Can you explain this answer? for UCAT 2025 is part of UCAT preparation. The Question and answers have been prepared according to the UCAT exam syllabus. Information about The ratio of the first and second-class fares between the two stations is 6 : 4 and the number of passengers traveling by first and second-class is 1 : 30. If Rs. 2100 is collected as fare, what is the amount collected from first class passengers?a)Rs.250b)Rs. 200c)Rs. 150d)Rs. 100e)Rs. 225Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for UCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The ratio of the first and second-class fares between the two stations is 6 : 4 and the number of passengers traveling by first and second-class is 1 : 30. If Rs. 2100 is collected as fare, what is the amount collected from first class passengers?a)Rs.250b)Rs. 200c)Rs. 150d)Rs. 100e)Rs. 225Correct answer is option 'D'. Can you explain this answer?.
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