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MathematicsTopic Question Bank50+ Solved MCQsUpdated October 2026👁️ 3.8k Topic Views

Mixtures and Alligations Questions & Answers

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Practice Questions for Mixtures and Alligations

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A mixture containing a specific quantity of pure milk and 8 L of water is valued at 45 paise per liter. If pure milk costs 54 paise per liter and water is free, find the quantity of pure milk in the mixture.

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Mixtures and Alligations Questions & Answers

Mixtures and Alligations — Key Concepts & Shortcuts

Practice Questions for Mixtures and Alligations

A mixture containing a specific quantity of pure milk and 8 L of water is valued at 45 paise per liter. If pure milk costs 54 paise per liter and water is free, find the quantity of pure milk in the mixture.

In what ratio must sugar costing Rs. 91 per kg be mixed with sugar costing Rs. 63 per kg so that by selling the mixture at Rs. 87 per kg there is a gain of 16%?

Copper makes up 65% of a nickel and copper alloy. A second alloy has a 17 : 3 ratio of copper to nickel. In what ratio should the two alloys be mixed so that the resulting mixture contains copper and nickel in the ratio 4 : 1?

The ratios of copper to zinc in alloys X and Y are 5 : 4 and 8 : 7, respectively. X and Y are taken in the ratio 3 : 5 and melted to form a new alloy Z. What is the ratio of copper to zinc in the new alloy Z?

500 gm of sugar solution has 45% sugar in it by weight. How much sugar must be added to the solution to make it a 60% sugar solution (by weight)?

Sunil mixes 80 kg of sugar worth Rs. 13.5 per kg with 120 kg of sugar worth Rs. 16 per kg. At what rate should he sell the mixture to gain 40%?

A mixture of milk and water contains 60% milk and the rest is water. How much water, as a percentage of the original mixture, should be added to the mixture so as to interchange the ratio of milk and water?

300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution?

Brass is an alloy of copper and zinc. Bronze is an alloy containing 80% copper, 4% zinc, and 16% tin. A fused mass of brass and bronze is found to contain 74% copper, 16% zinc, and 10% tin. What is the ratio/percentage composition of copper and zinc in Brass?

In what ratio should water be mixed with soda costing ₹12 per litre so as to make a profit of 25% by selling the diluted liquid at ₹13.75 per litre?

An orange juice mixture contains 40% pulp. A portion of this mixture is replaced with another juice containing 19% pulp, making the resulting pulp concentration 26%. What fraction of the original mixture was replaced?

Two vessels A and B contain milk and water in the ratio 4 : 3 and 5 : 3 respectively. In what ratio should these two mixtures be mixed to get a new mixture containing 60% milk?

A cask is full of wine. 5 liters of wine is drawn out and replaced with water. This operation is repeated once more. The ratio of the quantity of wine now left in the cask to that of water is 16:9. How many liters of wine did the cask hold originally?

A milk seller has 2 cans of milk. The first contains 20% water and the rest milk. The second contains 50% water and the rest milk. How much mixture should be taken from each can respectively so that 12 liters of mixture contains water and milk in the ratio 3 : 5?

In a 1-liter mixture of spirit and water, 20% is water. How much spirit should be added so that the proportion of water becomes 5%?

Alcohol and water in two vessels A and B are in the ratio 2 : 5 and 9 : 7 respectively. In what ratio should the liquids from both vessels be mixed to obtain a new mixture in vessel C containing equal proportions of alcohol and water?

In what ratio must sugar at ₹33 per kg be mixed with sugar at ₹28 per kg so that the mixture is worth ₹30 per kg?

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