Q: A liquid contains 22.5% water, while the other contains 27% water. A glass is filled with 5 parts of one liquid and 7 parts of the other. The percentage of water in the glass is

Q: There are two boxes A and B. Box A contains 30 kg of Rice and box B contains 25 kg of wheat. 5 kg of rice was taken from box A and poured into box B, then 12 kg of the mixture was taken from box B and poured into box A. What is the ratio of the quantity of rice in box A to the quantity of wheat in box B?

Q: Three containers A, B and C are having mixtures of milk and water in the ratio of 1:5, 3:5, 5:7 respectively. If the capacities of the containers are in the ratio 5:4:5, find the ratio of milk to water, if all the three containers are mixed together.

Q: 10 gallons are drawn from a container full of alcohol and filled with water again. 10 gallons of mixture are again drawn and the container is filled with water again. If the ratio of alcohol and water left in the container is 49:32, the find how much quantity does the container hold?

Q: Three vessels having volumes in the ratio of 2:3:5 are full of a mixture of water and milk. In the first vessel ratio of water and milk is 1:3, in the second 2:3 and in the third vessel, 2:5. If all three vessels were poured out in a large container, what is the resulting ratio of milk and water?

Q: Alloy A contains 40 % gold and 60% silver. Alloy B contains 35% gold and 40 % silver and 25% copper. Alloys A and B are mixed in a ratio of 1:4. What is the ratio of silver and gold in the newly formed alloy?

Q: A sample of x litres from a container having a 60 litre mixture of milk and water containing milk and water in the ratio of 2 : 3 is replaced with pure milk so that the container will have milk and water in equal proportions. What is the value of x? 

Q: There are three containers of identical volumes which contain a mixture of sugar and rava. The ratio of sugar and rava in each container is 2:3, 4:5 and 5:7 respectively. The mixture of all the three containers is mixed in a big pot. The ratio of sugar and rava in the new mixture is

Q: Ramesh mixes 60 litres of Type-1 acid with some litres of Type-2 acid. Type-1 acid rate is Rs. 32 per litre while Type-2 rate is Rs. 23 per litre. Ramesh sells this acid mix at rate Rs. 28 per litre. How much Type-2 acid is needed to make it a no profit no loss transaction?

Q: A solution of honey and water is 28 litres, with honey and water in ratio 4:3. To this a 21 litre honey-water solution is added that has honey to water ratio as 2:1. Again a 51 litre honey-water solution that has honey to water ratio as 9:8 is added to this. After this 10 litre of the solution is replaced with pure honey. What is ratio of water to honey in the final mixture?

Q: Of the two kinds of alloys, Silver and Copper are contained in the ratio of 5 : 1 in the first and 7 : 2 in the second, What weight of the second alloy should be melted with first alloy to make up a 5 kg mass with 80% of silver?

Q: A pot contains 20 litres of juice. How much juice will be there in the pot, if 2 litres of juice was removed and replaced by water and this process was again repeated twice?

Q: Rohit buys some rice at Rs. 10.40 per kg. He mixes it with some rice having price Rs. 8.8 per kg. The final mixture becomes 15kg in weight and with total worth Rs. 146.40. What is the quantity of rice priced at Rs. 8.8 per kg ?

Q: 20 litres of milk when added to a 60 litre mixture of milk and water ,the concentration increases by same percentage points as decreased by addition of 30 litres of water to the same solution.What is the ratio of milk and water initially?

Q: These are two alloys made up of copper and aluminium. In the first alloy, copper is half as much as aluminium and in the second alloy, copper is thrice as much as aluminium. How many times the second alloy must be mixed with the first alloy to get the new alloy in which copper is twice as much as aluminium?

Q: Six litres of milk were taken out from a vessel and is filled with water. This operation is performed two more times. The ratio of the quantity of milk now left in the vessel to water is 8:19. How much is the quantity of milk contained by the vessel originally?

Q: From a full barrel containing 729 litres of honey, we pour off ‘a’ litre and add water to fill up the barrel. After stirring the solution thoroughly, we pour off ‘a’ litre of the solution and again add water to fill up the barrel. After the procedure is repeated 6 times, the solution in the barrel contains 64 litres of honey. Find a.

Q: Two vessels contain mixtures of spirit and water. In the first vessel the ratio of spirit to water is 8 : 3 and in the second vessel the ratio is 5 : 1. A 35-litre cask is filled these vessels so as to contain a mixture of spirit and water in the ratio of 4 : 1. How many litres are taken from the first vessel?

Q: 6 gallons of wine are drawn from a cask and replaced by 6 gallons of water. 6 gallons of the mixture are next drawn and again replaced by 6 gallons of water. If the ratio of wine to water in the cask is now 81 : 19, then how much wine was there in the cask at the beginning of the operation? (There was no water in the cask at first.)

Q: There are two containers : the first contains 500 ml of alcohol, while the second contains 500 ml of water. Three cups of alcohol from the first container is taken out and is mixed well in the second container. Then, three cups of this mixture is taken out and is mixed in the first container. Let A denote the proportion of water in the first container and B denote the proportion of alcohol in the second container. Then,(Note: Assume the volume of cups used are same.)

Q: 3 types of Sugar got mixed by accident in a shop. First was of the rate Rs. 145 per kg and Second of Rs. 165 per kg. Only thing the shop owner knew that quantities of 3 sugar types were in the ratio 2:1:3 respectively. He finally sold the mix at rate of Rs. 180 per kg. What was price of 3rd type

Q: In two alloys, copper and zinc are related in the ratios of 4:1 and 1:3. 10kg of 1st alloy, 16 kg of 2nd alloy and some pure copper are melted together. An alloy was obtained in which the ratio of copper to zinc was 3:2. Find the weight of the new alloy.

Q: 10% of a solution of milk and water is removed and then replaced with the same amount of water. If the resulting ratio of milk and water is 2:3. find the ratio of milk and water in the original solution.

Q: A merchant buys 20 kg of wheat at 30 rs/kg and 40 kg at 25 rs/kg. He mixes and sells 1/3 rd of mixture at 26 rs/kg. At what price the merchant should sell remaining mixture so that a profit of 25% on whole outlay is?

Q: There are 90 litres Castrol and 150 litres CRB mobil oils. The price of castrol is Rs.80 per litre and the price of CRB is Rs.75 per litre. Equal amount of Castrol and CRB is taken out and then CRB is poured out in the vessel of Castrol and Castrol is poured out in the vessel of CRB. Now the rate of both the mixtures is same. What is the amount of mobil oil taken out from each of the vessel?

Q: A mixture of rice is sold at Rs.3.00/kg.This mixture is formed by mixing the rice of Rs.2.10/kg and Rs.2.52/kg. What is the ratio of price of cheaper to the costlier quality in the mixture if the profit of 25% is being earned?

Q: In what ratio should two varieties of rice costing Rs 12 per kg and Rs 18 per kg respectively be mixed so that the resulting mixture when mixed with another variety of rice costing Rs.20 per kg in the ratio 4:3, would yield a mixture costing Rs.16 per kg?

Q: A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of the mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained in the can initially?

Q: A milkman mixes 20 L of water with 80 L of milk. After selling one-fourth of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk?

Q: There are two qualities of milk-Amul and Sudha having different prices per litre, their volumes being 130 litres and 180 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?