Multiple choice

Railway fare of AC , Sleeper and General class between two station is 8 : 6 : 3. The fares of AC and Sleeper are subsequently reduced by 1/6 and 1/12 respectively. If during this year, the ratio between the passenger of AC , Sleeper and General class was 9 : 12 : 26 and total amount collected by the sale of tickets was Rs. 1088 lakh , then find the collection from the passenger of AC?

  1. 320 lakh

  2. 355 lakh

  3. 387 lakh

  4. 410 lakh

  5. 425 lakh
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A Correct answer
Explanation

Original ratio 8:6:3. AC reduced by 1/6 becomes 8×5/6=20/3. Sleeper reduced by 1/12 becomes 6×11/12=11/2. New fares 20/3:11/2:3 = 40:33:18. Passenger ratio 9:12:26. Revenue: 9×40 + 12×33 + 26×18 = 360+396+468 = 1224 parts. AC collection = (360/1224)×1088 = 320 lakh.

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