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The first, second and third class fares between two railway stations, Patna and Lucknow were 10:8:3 and the number of first, second and third class passengers between the two stations was is 3:4:10. If total sales of the ticket is Rs 16,100, find the money obtained by the sales of second class tickets.
- a)Rs 5,250
- b)Rs 5,600
- c)Rs 6,400
- d)Rs 6,650
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The first, second and third class fares between two railway stations, ...
Let the fare of 1st, 2nd and 3rd class be lOx, 8x, and 3x respectively and let the no. of passengers of 1st, 2nd and 3rd class be 3y, 4y and lOy respectively, then 30xy + 32xy + 30xy = 16100 ⇒ 92xy = 16100 Hence xy = 175
Required amount = 32xy = 32 x 175 = 5600
Most Upvoted Answer
The first, second and third class fares between two railway stations, ...
To solve this problem, we need to use the concept of ratios and proportions. Let's break down the given information and solve step by step.
Given information:
- The ratio of first, second, and third class fares between Patna and Lucknow is 10:8:3.
- The ratio of first, second, and third class passengers between the two stations is 3:4:10.
- The total sales of tickets is Rs 16,100.
Step 1: Calculate the total ratio of fares.
The total ratio of fares can be found by adding up the individual ratios: 10 + 8 + 3 = 21.
Step 2: Calculate the proportion of each fare.
To find the proportion of each fare, divide each individual fare ratio by the total ratio of fares:
First class fare proportion = 10/21
Second class fare proportion = 8/21
Third class fare proportion = 3/21
Step 3: Calculate the total sales from each fare.
To find the total sales from each fare, multiply the total sales by the proportion of each fare:
Total sales from first class fare = (10/21) * Rs 16,100
Total sales from second class fare = (8/21) * Rs 16,100
Total sales from third class fare = (3/21) * Rs 16,100
Step 4: Calculate the money obtained by the sales of second class tickets.
From step 3, we can see that the total sales from second class fare is:
Total sales from second class fare = (8/21) * Rs 16,100
Simplifying this expression, we get:
Total sales from second class fare = Rs 5,600
Therefore, the money obtained by the sales of second class tickets is Rs 5,600, which corresponds to option B.
Given information:
- The ratio of first, second, and third class fares between Patna and Lucknow is 10:8:3.
- The ratio of first, second, and third class passengers between the two stations is 3:4:10.
- The total sales of tickets is Rs 16,100.
Step 1: Calculate the total ratio of fares.
The total ratio of fares can be found by adding up the individual ratios: 10 + 8 + 3 = 21.
Step 2: Calculate the proportion of each fare.
To find the proportion of each fare, divide each individual fare ratio by the total ratio of fares:
First class fare proportion = 10/21
Second class fare proportion = 8/21
Third class fare proportion = 3/21
Step 3: Calculate the total sales from each fare.
To find the total sales from each fare, multiply the total sales by the proportion of each fare:
Total sales from first class fare = (10/21) * Rs 16,100
Total sales from second class fare = (8/21) * Rs 16,100
Total sales from third class fare = (3/21) * Rs 16,100
Step 4: Calculate the money obtained by the sales of second class tickets.
From step 3, we can see that the total sales from second class fare is:
Total sales from second class fare = (8/21) * Rs 16,100
Simplifying this expression, we get:
Total sales from second class fare = Rs 5,600
Therefore, the money obtained by the sales of second class tickets is Rs 5,600, which corresponds to option B.
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The first, second and third class fares between two railway stations, Patna and Lucknow were 10:8:3 and the number of first, second and third class passengers between the two stations was is 3:4:10. If total sales of the ticket is Rs 16,100, find the money obtained by the sales of second class tickets.a)Rs 5,250b)Rs 5,600c)Rs 6,400d)Rs 6,650Correct answer is option 'B'. Can you explain this answer?
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The first, second and third class fares between two railway stations, Patna and Lucknow were 10:8:3 and the number of first, second and third class passengers between the two stations was is 3:4:10. If total sales of the ticket is Rs 16,100, find the money obtained by the sales of second class tickets.a)Rs 5,250b)Rs 5,600c)Rs 6,400d)Rs 6,650Correct 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 The first, second and third class fares between two railway stations, Patna and Lucknow were 10:8:3 and the number of first, second and third class passengers between the two stations was is 3:4:10. If total sales of the ticket is Rs 16,100, find the money obtained by the sales of second class tickets.a)Rs 5,250b)Rs 5,600c)Rs 6,400d)Rs 6,650Correct 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 The first, second and third class fares between two railway stations, Patna and Lucknow were 10:8:3 and the number of first, second and third class passengers between the two stations was is 3:4:10. If total sales of the ticket is Rs 16,100, find the money obtained by the sales of second class tickets.a)Rs 5,250b)Rs 5,600c)Rs 6,400d)Rs 6,650Correct answer is option 'B'. Can you explain this answer?.
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