The ratio of the first and second class train fares between two stations is 3:1 and that of the number of passengers travelling between the two stations by first and second classes is 1:50. If on a particular day. Rs. 1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:ARs. 1250BRs. 1000CRs. 850DRs. 750
Question
The ratio of the first and second class train fares between two stations is 3:1 and that of the number of passengers travelling between the two stations by first and second classes is 1:50. If on a particular day. Rs. 1325 are collected from passengers travelling between the two stations, then the amount collected from the second class passengers is:ARs. 1250BRs. 1000CRs. 850DRs. 750
Solution
Let's solve this step by step:
Step 1: Let's assume the fare for first class is 3x and for second class is x. Similarly, let's assume the number of passengers in first class is y and in second class is 50y.
Step 2: The total collection from first class passengers would be fare * number of passengers = 3x * y = 3xy.
Step 3: Similarly, the total collection from second class passengers would be fare * number of passengers = x * 50y = 50xy.
Step 4: The total collection from both classes is given as Rs. 1325. So, we can write the equation as 3xy + 50xy = 1325.
Step 5: Simplifying the equation, we get 53xy = 1325.
Step 6: We need to find the amount collected from the second class passengers, which is 50xy. To find this, we can write the equation as 50xy = (50/53) * 1325.
Step 7: Solving this equation, we get the amount collected from the second class passengers as Rs. 1250.
So, the correct answer is A: Rs. 1250.
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