Alligation or Mixture problems A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel. 3 kg 4 kg 5 kg 8 kg 3 kg 4 kg 5 kg 8 kg ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let the weight of vessel be xWeight of water = 24 ? x? (24 ? x)/4 + x = 9? 24 ? x + 4x = 36? 3x = 12? x = 4 kg
Alligation or Mixture problems A dishonest milkman professes to sell his milk at C. P. But he mixes it with water and thereby gains 25 %. The % of water in the mixture is ? 25% 20% 4% None of these 25% 20% 4% None of these ANSWER DOWNLOAD EXAMIANS APP
Alligation or Mixture problems A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is? 30 15 20 25 30 15 20 25 ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Let initial quantity be Q, and final quantity be F F = Q(1 - 8/Q) 4 => Q = 20
Alligation or Mixture problems A milkman has 20 liters of milk. If he mixes 5 liters of water, which is freely available, in 20 liters of pure milk. If the cost of pure milk is Rs. 18 per litre, then the profit of the milkman, when he sells all the mixture at cost price, the profit %? 25% 22.5% 20% 33.33% 25% 22.5% 20% 33.33% ANSWER EXPLANATION DOWNLOAD EXAMIANS APP As water costs free, water sold at cost price of milk gives the profit. Required profit % = 5/20 x 100 = 5 x 5 = 25%.
Alligation or Mixture problems A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times. How much milk is now contained by the container? 29.16 litres 26.34 litres 28 litres 27.36 litres 29.16 litres 26.34 litres 28 litres 27.36 litres ANSWER EXPLANATION DOWNLOAD EXAMIANS APP Amount of milk left after 3 operations = [ 40 ❨ 1 - 4 ❩ 3 ] litres 40 = ❨ 40 x 9 x 9 x 9 ❩ = 29.16 litres.
Alligation or Mixture problems 6 liters of milk and water mixture has 75% milk in it. How much milk should be added to the mixture to make it 90% pure? 12 liters 8 liters 10 liters 9 liters 12 liters 8 liters 10 liters 9 liters ANSWER EXPLANATION DOWNLOAD EXAMIANS APP The given solution has 75% milk. Milk to be added has 100% milk. Milk should be added to the given mixture in the ratio 15 : 10 or 3 : 2 Quantity of milk to be added = (3 / 2) × 6 = 9 liters.
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