A 70-litre mixture of milk and water contains 10% water. How many litres of water need to be added to increase the water content to 12.5%?

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Subject: Mixtures and Allegationsmathematics-mcqs › mixtures-and-allegations
Published: 21 Sept 2019
Last updated: 28 May 2026

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Explanation

The amount of milk in the original mixture is 90% of 70 litres, which is 63 litres. After adding water, milk will make up 87.5% of the new mixture. Let the total volume after adding water be (70 + x) litres. Then, 87.5% of (70 + x) equals 63 litres: (87.5/100) * (70 + x) = 63. Solving for x gives x = 2 litres. Therefore, 2 litres of water must be added.

Practice related questions from the same subject.

1.A mixture contains 80% milk by weight. If 36 grams of pure milk is added to 180 grams of this mixture, what will be the new percentage of milk in the resulting mixture?
2.A container holds a mixture of milk and water in the ratio 4:5. When 8 litres of milk are added, the container becomes full, and the new ratio of milk to water changes to 6:5. What is the total capacity of the container?
3.In what proportion should rice priced at Rs. 6 per kg be blended with rice priced at Rs. 8.75 per kg to create a mixture costing Rs. 7.50 per kg?
4.Container A was completely filled with water and then emptied into containers B and C. The volume of water in container B was 62.5% less than the total capacity of container A. When 148 liters of water was moved from container C to container B, both containers ended up holding the same amount of water. What was the original volume of water in container A?
5.Two types of wheat, A and B, are priced at Rs. 9 per kg and Rs. 15 per kg respectively. They are combined in a ratio of 3:7. If 5 kg of this blend is sold at a 25% gain, what is the profit earned?
6.If you combine a certain amount of oil priced at Rs.40 per liter with 240 liters of another oil costing Rs.60 per liter, how many liters of the first oil must be added to obtain a blend priced at Rs.52 per liter?
7.At what proportion should two types of sugar priced at Rs. 18 per kg and Rs. 24 per kg be combined to obtain a blend costing Rs. 20 per kg?
8.A container holds 20 liters of a milk and water mixture in the ratio 3:2. Ten liters of this mixture are taken out and replaced with an equal amount of pure milk. If this replacement process is done once again, what will be the final ratio of milk to water in the mixture?

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A 70-litre mixture of milk and water contains 10% water. How many litres of water need to be added to increase the water content to 12.5%?

Explanation

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