Question : The train ticket fare from places A to B in 2nd class AC and 3rd class AC is Rs. 2,500 and Rs. 2,000, respectively. If the fares of 2nd class AC and 3rd class AC are increased by 20% and 10%, respectively, then find the ratio of the new fares of 2nd class AC and 3rd class AC.
Option 1: 15 : 11
Option 2: 12 : 11
Option 3: 13 : 11
Option 4: 15 : 13
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Correct Answer: 15 : 11
Solution :
The new fare for the 2nd class AC after a 20% increase would be = 1.20 × 2500 = Rs. 3000
The new fare for the 3rd class AC after a 10% increase would be = 1.10 × 2000 = Rs. 2200
Therefore, the ratio of the new fares of 2nd class AC to 3rd class AC = 3000 : 2200 = 30 : 22 = 15 : 11
Hence, the correct answer is 15 : 11.
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