Alligation or Mixture Questions

• A man buys 1 litre of milk for ₹12. He mixes water equal to 20% of the milk quantity (i.e., adds 0.2 litre water to 1 litre milk), and then sells the entire resulting mixture at ₹15 per litre. What is his percentage gain (profit percentage) on the transaction?
• Manideep purchases two lots of barley: 30 kg at ₹11.50 per kg and 20 kg at ₹14.25 per kg. He mixes both lots thoroughly and sells the entire mixture in his shop. At what selling price per kg should he sell this barley mixture so that he earns exactly 30% profit on his total cost price?
• Shiva purchases 280 kg of rice at ₹15.60 per kg and mixes it with 120 kg of rice purchased at ₹14.40 per kg. He sells the entire mixture and wants to earn a profit of ₹10.45 per kg on the mixture. What should be the selling price of the mixed rice per kg to achieve this exact profit?
• Two vessels contain milk-water mixtures. • Vessel 1 contains 64% milk (and the rest is water). • Vessel 2 contains 26% water (so the remaining percentage is milk). In what ratio should the mixtures from vessel 1 and vessel 2 be mixed so that the new mixture contains exactly 68% milk?
• Two varieties of tea cost ₹60 per kg and ₹120 per kg. They are mixed and the mixture is sold at ₹96 per kg. If the seller earns a profit of 20% on the mixture, in what ratio should the ₹60 tea and the ₹120 tea be mixed to form the mixture?
• A petrol tank contains 200 litres of pure petrol. A dishonest seller repeatedly removes 40 litres from the tank and replaces exactly that 40 litres with kerosene. Each time, he sells 40 litres from the tank (which may be pure or mixed), and then refills the tank with 40 litres of kerosene. After this replacement is done 4 times, what is the total amount of kerosene present in the tank?
• A 640 ml milk-water mixture has milk and water in the ratio 6 : 2. Water is added to this mixture. How much water (in ml) must be added so that the new mixture becomes exactly half milk and half water (i.e., milk : water becomes 1 : 1)?
• A shopkeeper has 15 litres of soft drink “Dew” priced at ₹10 per litre. He wants to add another soft drink “Pepsi” priced at ₹6 per litre. How many litres of Pepsi should be added so that the final mixture costs ₹9 per litre (average price of the mixture becomes ₹9 per litre)?
• A mixture of 150 litres of wine and water contains 20% water (and the rest is wine). Additional water is added to this mixture. How many litres of water must be added so that in the new mixture, water becomes 25% of the total mixture volume?
• A milk-water mixture contains milk equal to 2/3 of the mixture. The total mixture available is 21 litres. If 4 litres of water is added to this mixture, what will be the new percentage of milk in the resulting mixture?
• A milk merchant buys 50 litres of milk at ₹40 per litre and then mixes 5 litres of water into it (water is assumed to have zero cost). He sells the entire milk-water mixture at ₹42 per litre. What is the merchant's profit percentage on his total cost price?
• Two vessels contain milk and water mixtures. • Vessel 1 has milk : water = 3 : 1. • Vessel 2 has milk : water = 7 : 11. In what ratio should the liquids from vessel 1 and vessel 2 be mixed so that the new mixture contains exactly half milk and half water (i.e., 50% milk)?
• In a mixture, the ratio of juice to water is 4 : 3. After adding 6 litres of water, the ratio of juice to water becomes 8 : 7. What is the amount of juice (in litres) in the original mixture before adding the extra water?
• A bucket contains a mixture of two liquids A and B in the ratio 7 : 5. Then 9 litres of this mixture is removed and replaced by 9 litres of pure liquid B. After this replacement, the ratio of liquid A to liquid B becomes 7 : 9. How many litres of liquid A were originally present in the bucket?
• A flask initially contains pure milk. Each time, 8 litres of milk (or milk-water mixture) is drawn from the flask and the flask is refilled with 8 litres of water. This operation is done a total of 4 times (the first time plus 3 more times). After the 4 operations, the ratio of milk left to the total solution is 81/625. How many litres of milk did the flask initially contain?
• An 80 litre mixture of milk and water contains 10% milk. How many litres of milk must be added to this mixture so that the water percentage becomes 80% in the new mixture?
• An 80 litre milk-water solution contains 10% milk. Water is added to this solution. How many litres of water must be added so that the new solution becomes a 5% milk solution (i.e., milk percentage reduces to 5%)?
• Three bottles of equal capacity contain milk and water mixtures: • Bottle 1 has milk : water = 5 : 7 • Bottle 2 has milk : water = 7 : 9 • Bottle 3 has milk : water = 2 : 1 All three bottles are emptied into one large container. What is the percentage of milk in the final combined mixture?
• A 20 kg mixture of wheat and husk contains 5% husk. How many kilograms of husk must be added to this mixture so that in the new mixture, husk content becomes 20% by weight?
• A milkman buys pure milk at ₹25 per litre. He adds water equal to 1/4 of the milk quantity (i.e., 25% of the milk volume) and sells the mixture at ₹26 per litre. What is his gain percentage on the total cost price?