Mixtures and Alligation

A man buys spirit at Rs. 60 per litre, adds water to it and sells it at Rs. 75 per litre. What is the ratio of spirit to water in the mixture, if his profit in the deal is 37.5%? (Assume that the cost of water is Rs. 0.)

In 40 litres of a mixture, the ratio of alcohol to water is 3 : 2. How much quantity of water must be added to the mixture so as to make the ratio of alcohol to water 2 : 3?

Emma mixes 100 ml of water in a 600 ml mixture of orange juice and water in a jug. She then took out 100 ml of this and replaced the same by water. Now, the percentage of orange juice in the jug is 25%. Find the percentage of orange juice initially in the mixture.

Two batches of drinks are prepared by using mixture of Vodka and Juice. In the first batch, the ratio of Vodka and Juice is 1 : 2 and in second batch, the ratio is 2 : 3. In what ratio should these two batches be mixed, so that we can get a new batch of Juice and Vodka in the ratio 5 : 3?

A bucket contains 50 litres of lime water. From this bucket, 1 litre of lime water was taken out and replaced by colour. This process was repeated further 2 times. How much lime water is now in the bucket?

One vessel contains 50% spirit and the other contains 40% spirit. A mixture is formed by adding 100 litres from the first vessel and 60 litres from the second vessel. What will be the concentration of spirit in the new mixture?

A chemist has 10 ml of a solution that contains 30% concentration of acid. What amount (in millilitres) of pure acid is to be added to the solution, to increase the concentration to 50%?

The ratio of wheat to rice in container A is 2 : 3 and that in container B is 3 : 7. What quantities (in kg) must be taken from A and B, respectively to form a mixture containing 5 kg of wheat and 11 kg of rice?

A vessel contains 630 l of mixture A, B and C in ratio 5 : 7 : 9. 30 l mixture containing liquid A and B in ratio 5 : 1 is added to the vessel. What will be the percentage of liquid B in the mixture?

Two liquids A and B are mixed together in a ratio 1:2 and the total solution is 45 liters. What quantity of liquid A can change the ratio into 2:1?

There are two drums, each containing a mixture of paints A and B. In drum 1, A and B are in the ratio 18 : 7. The mixtures from drums 1 and 2 are mixed in the ratio 3 : 4 and in this final mixture, A and B are in the ratio 13 : 7. In drum 2, A and B are in the ratio

Zinc and copper are in the ratio of 5 : 3 in 400 gm of an alloy. How much of copper (in grams) should be added in the mixture to make the ratio 5 : 4?

Harmeet has a bowl, which was full of milk. Four litres of milk was removed and replaced by water. Again, 4 litres of mixture was removed and replaced by water. The proportion of milk left in the bowl was 49/81 of the total mixture (in the bowl). What is the capacity of bowl?

A solution contains 61% of milk by volume. How many litres of this solution must be added to 31 litres of another solution, which contains 26% of milk, in order to produce a solution with overall concentration of milk 45%?