The railway fares of air conditioned sleeper and ordinary sleeper class are in the ratio 4:1. The number of passengers travelled by air conditioned sleeper and ordinary sleeper classes were in the ratio 3:25. If the total collection was Rs. 37,000, how much did air conditioner sleeper passengers pay?

Pabitra had$19\frac{2}{7}$ l of petrol in the fuel tank of his vehicle at the start of a journey. During the journey,$13\frac{1}{2}$ l of petrol was consumed. What fraction of the initial petrol was left in the fuel tank after the journey?

The sum of the squares of 3 natural numbers is 1029, and they are in the proportion 1 : 2 : 4. The difference between greatest number and smallest number is: