Question : The railway fares for air-conditioned sleepers and ordinary sleeper classes are in the ratio of 4 : 1. The number of passengers travelling by air-conditioned sleeper and ordinary sleeper classes was in the ratio of 3 : 25. If the total collection was Rs. 37000. How much did air-conditioned sleeper passengers pay?
Option 1: Rs. 15000
Option 2: Rs. 10000
Option 3: Rs. 12000
Option 4: Rs. 16000
Correct Answer: Rs. 12000
Solution :
The ratio of fares for air-conditioned classes to ordinary classes = 4 : 1
The ratio of the number of passengers in air-conditioned classes to ordinary classes = 3 : 25
Corresponding compounding ratio = (4 × 3) : (1 × 25) = 12 : 25
The sum of the terms of the ratio = 12 + 25 = 37
The total collection was Rs. 37000.
Total fare of the passengers in air-conditioned sleeper classes = $\frac{12}{37}$ × 37000 = 12000
Hence, the correct answer is Rs. 12000.
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