Alligation or Mixture Questions

Diluting a 15-L mixture by adding water: A 15-liter mixture contains 20% alcohol (and 80% water). If 3 liters of water are added, what is the new percentage of alcohol?

Profit by adulteration (water to milk): A milk seller pays ₹ 500 per kiloliter (i.e., ₹ 0.50 per liter) for pure milk. He adds water and sells the mixture at ₹ 0.56 per liter, making an overall profit of 40%. What is the ratio of water to milk supplied to customers?

Mixing bananas of two price types to hit a target price: How many bananas at 5 for ₹ 1.20 (₹ 0.24 each) should be mixed with 300 bananas at 6 for ₹ 2.10 (₹ 0.35 each) so that the mixture is worth ₹ 3.60 per dozen (₹ 0.30 each)?

Converting fresh fruit to dry fruit by preserving solids: Fresh fruit contains 72% water (28% solids). Dry fruit contains 20% water (80% solids). From 100 kg of fresh fruit, how many kilograms of dry fruit can be obtained (solids conserved)?

Successive dilution fraction removed after five replacements: From a vessel of alcohol, one-fifth of the contents is removed and replaced with water. This operation is repeated five times. What fraction of the original alcohol has been removed?

Mixing sugar syrups to target 10% concentration: Solution A is 15% sugar; solution B is 5% sugar. How many liters of solution B must be added to 20 L of solution A to obtain a 10% sugar mixture?

Combining two wine–water mixtures and adding extra water: Cask 1 has 48 L with wine:water = 13 : 7. Cask 2 has 42 L with wine:water = 18 : 17. After mixing their contents and adding 20 L of water, what is the final wine:water ratio?

Adjusting milk:water ratio by adding water: A 729-ml mixture has milk:water = 7 : 2. How much additional water must be added to make the ratio 7 : 3?

Two-price currants blended to a target price: Currants at ₹ 50/kg are mixed with currants at ₹ 90/kg to make 17 kg of mixture worth ₹ 70/kg. How many kilograms of each type are used?

Alligation–Mixture (Milk–Water): A mixture has milk:water = 5:4. After adding 2 litres of water, the ratio becomes 10:9. Find the new amount of water (in litres) in the mixture.

Alligation–Mixture (Weighing a Vessel): A vessel full of water weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of the empty vessel (kg).

Alligation–Mixture (Combining Three Bottles): Three equal-capacity bottles contain milk:water in ratios 2:5, 3:4, and 4:5. After pouring all into a larger bottle, what is the overall ratio of milk to water?

Alligation–Mixture (Percentage to Total): A mixture contains 19% milk. If milk quantity is 437 mL, what is the total quantity of the mixture (mL)?

Alligation–Mixture (Adjusting Ratio by Adding Water): A 25-L mixture has milk:water = 4:1. After adding 3 L water, what is the new milk:water ratio?

Alligation–Mixture (Two Acid–Water Solutions): Two bottles have acid:water ratios 2:3 and 1:2, respectively. Mixed in the ratio 1:3 (by volume), what is the final acid:water ratio?

Alloy Alligation (Brass – Copper:Zinc): Two brass types have Cu:Zn = 8:3 and 15:7. If they are melted and mixed in the ratio 5:2 (by mass), what is Cu:Zn in the alloy?

Alligation–Mixture (Juice Blend Adjustment): A jar has fruit juice:water = 5:x. Taking 4 L of this blend and adding 1 L water makes the ratio 1:1. Find x.

Alligation (Milk Fat %): Cow’s milk has 10% fat; buffalo’s milk has 20% fat. A mixture has (120/7)% fat. In what ratio (cow:buffalo) were they mixed?

Alligation (Tea Prices): At what ratio should tea at ₹300/kg be mixed with tea at ₹200/kg to obtain a mixture costing ₹225/kg (ratio given as 300:200)?

Successive replacement in a 960-litre milk container: Pure milk initially. Replace 48 litres thrice (each time milk removed, same volume of water added). Find remaining pure milk.