Alligation or Mixture Questions

The average weight of boys in a class is 30 kg and the average weight of girls in the same class is 20kg. If the average weight of the whole class is 23.25 kg, what could be the possible strength of boys and girls respectively in the same class?

Find the ratio in which rice at Rs. 7.20 a kg be mixed with rice at Rs. 5.70 a kg to produce a mixture worth Rs. 6.30 a kg.

The ratio of water and alcohol in two different containers is 2:3 and 4:5. In what ratio we are required to mix the mixtures of two containers in order to get the new mixture in which the ratio of alcohol and water be 7:5?

In the 75 litres of mixture of milk and water, the ratio of milk and water is 4:1. The quantity of water required to make the ratio of milk and water 3:1 is

From a container filled with milk, 6 litres of milk are drawn out and replaced with water. Again, 6 litres of the resulting mixture are drawn out and replaced with water. After these two operations, the ratio of milk to water in the container becomes 9 : 16. What is the total original quantity of the mixture in the container (in litres)?

In a pot there is a mixture of milk and water in the ratio 4 : 5. If an additional 8 litres of pure milk is poured into the pot, the pot becomes completely full and the ratio of milk to water changes to 6 : 5. What is the total capacity of the pot in litres?

In a container there is a mixture of milk and water in which water makes up 26% of the mixture by volume. If 7 litres of this mixture are removed and replaced with 7 litres of pure milk, the percentage of milk in the mixture becomes 76%. What is the original quantity of the mixture in the container (in litres)?

The ratio of water to milk in a container is 2 : 3. If 40 litres of the mixture are removed from the container and then 40 litres of pure milk are added in their place, the ratio of water to milk becomes 1 : 4. What was the initial quantity of the mixture in the container (in litres)?

From a container full of pure wine, a thief steals 15 litres of wine and replaces it with 15 litres of water. He repeats this process two more times, each time removing 15 litres of the current mixture and replacing it with 15 litres of water. After three such operations, the ratio of wine to water in the container is 343 : 169. What was the initial quantity of wine in the container (in litres)?

A vessel contains 20 litres of a mixture of milk and water in the ratio 3 : 2. First, 10 litres of this mixture are removed and replaced with 10 litres of pure milk. This process of removing 10 litres of the mixture and replacing it with 10 litres of pure milk is then repeated once more. What is the ratio of milk to water in the final mixture obtained in the vessel?

A tin contains a mixture of two liquids A and B in the proportion 4 : 1 by volume. If 45 litres of this mixture are removed and replaced by 45 litres of pure liquid B, the ratio of liquid A to liquid B in the tin becomes 2 : 5. How many litres of liquid B were present in the tin initially, and what is the total capacity of the tin (in litres)?

In a mixture of milk and water, the proportion of water by weight is 75%. If to 60 g of this mixture an additional 15 g of water are added, what will be the new percentage of water in the resulting mixture? (All weights are in grams.)

In a 48 litre mixture, the ratio of milk to water is 5 : 3. How many litres of water must be added to this mixture so that the ratio of milk to water becomes 3 : 5 in the final mixture?

A jar is completely filled with pure honey. A person repeatedly performs the following operation: he draws out 20% of the honey from the jar and replaces it with an equal quantity of sugar solution. He repeats this process four times. After the fourth operation, only 512 g of honey remain in the jar and the rest of the contents are sugar solution. What was the initial amount of honey in the jar (in kilograms)?

A milkman pays Rs 6.40 per litre to buy pure milk. He then adds some amount of water, which is free, and sells the resulting mixture at Rs 8 per litre, thereby making a profit of 37.5% on his cost price. What is the ratio of water to milk in the mixture that the customers receive?

A certain liquid mixture in a container contains 25% milk and the remaining 75% is water. What percentage of this mixture must be removed and replaced with an equal quantity of pure milk so that, in the resulting mixture, the quantities of milk and water become equal?

A container initially holds 50 litres of pure milk. First, 8 litres of milk are removed from the container and replaced with 8 litres of water. This process of removing 8 litres of the current mixture and replacing it with 8 litres of water is repeated two more times. After these three operations in total, how many litres of milk are now contained in the container (approximately)?

A 4 kg sample of an alloy contains 1/5 copper and the rest zinc. Another 5 kg sample of a different alloy contains 1/6 copper and the rest zinc. If the two alloys are melted together to form a single mixture, what is the ratio of copper to zinc in the resulting alloy?

A milkman claims to sell milk at its original cost price per litre, yet he still makes a profit of 30% because he mixes some amount of free water with the milk. Assuming he sells the adulterated mixture at the same price per litre that he paid for the pure milk, what percentage of the mixture is actually milk?

How many litres of oil costing Rs 40 per litre should be mixed with 240 litres of a second variety of oil costing Rs 60 per litre so as to obtain a mixture whose cost price is Rs 52 per litre?