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From a vessel filled up with pure spirit to the brim, two litres of spirit was removed and 2litres of water were added. After the solution was mixed, 2 litres of the mixture was poured off and again 2litres of water was added. The solution was stirred again and 2 litres of the mixture was removed and 2 litres of water was added. As a result of the above operations, the volume of water in the vessel increased by 3 litres than the volume of spirit remaining in it. How many litres of spirit and water were there in the vessel after the above procedure was carried out?

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Important Questions on Ratio, Proportion and Variation

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There are two qualities of milk-Amul and Sudha having different prices per litre, their volumes being130 litres and180 litres respectively. After equal amounts of milk was removed from both, the milk removed from Amul was added to Sudha and vice-versa. The resulting two types of milk now have the same price. Find the amount of milk drawn out from each type of milk?
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Assume that the rate of consumption of coal by a locomotive varies as the square of the speed and is 1000 kg per hour when the speed is 60 km per hour. If the coal costs the railway company 15/100 Kg and if the other expenses of the train be 12 per hour, find a formula for the cost in paise per kilometre when the speed is S km per hour.