Mixtures and Alligation

In what ratio sugar at Rs. 30/kg should be mixed with sugar at Rs. 45/kg so that on selling the mixture at Rs. 42/kg there is a profit of 20% ?

A bakery uses a special flour mixture that contains corn, wheat and rye in the ratio of 3 : 5 : 2. If the bag of mixture contains 5 pounds of rye, then how many pounds of wheat does it contain?

A 30 litre mixture contains wine and water in the respective ratio of 7 : 3. How much water (in litres) should be added to this mixture so that the ratio of wine to water is reversed?

A grocer purchased 80 kg of sugar at Rs. 13.50 per kg and mixed it with 120 kg sugar at Rs. 16 per kg. At what rate should he sell the mixture to gain 16%?

A mixture contains juice and water in the ratio 4 : 3. If 2 litres of water is added to the mixture, the ratio becomes 4 : 5. What is the quantity of juice in the mixture?

Two litres of water evaporates from 6 litres of a solution containing 10% salt. Find the percentage of salt in the remaining solution.

Two vessels A and B contain a mixture of milk and water in the ratios 1 : 4 and 5 : 3, respectively. When these mixtures are to be remixed to form a new mixture containing half milk and half water, in what ratio should they be mixed?

Two vessels of equal volume contain milk and water in ratios 1 : 3 and 2 : 1, respectively. If they are mixed together, what is the new ratio?

Beaker A contains a mixture of salt and water in the ratio of 2 : 5, the second beaker contains the same mixture in the ratio of 3 : 7. If both the mixtures are put together in the same beaker, then what will be the ratio of salt to water in the new mixture formed?

A shopkeeper buys 50 kg of superior quality of sugar for Rs. 30 per kg and some of inferior quality sugar for Rs. 20 per kg. He mixes both types of sugar. If he sells the whole mixture at Rs. 2280, he makes a profit of 20%. How many kilograms of inferior quality sugar does he buy?

A cup of milk contains five parts of pure milk and two parts of water. What part of mixture should be withdrawn and replaced with water so that the resulting mixture is half milk and half water?

A milk vendor bought 28 litres of milk at the rate of Rs. 8.50 per litre. After adding some water, he sold the mixture at the same price. If his gain is 12.5%, how much water did he add?

A vessel contains certain volume of milk and water mixed in the ratio of 7 : 3. A part of this mixture is removed and replaced by an equal quantity of pure milk. Now, the ratio of milk and water in the vessel is found to be 17 : 2. What proportion of the original volume has been replaced by pure milk?