# Mixture and Alligation Questions and Answers updated daily – Aptitude

Mixture and Alligation Questions: Solved 187 Mixture and Alligation Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.

## Mixture and Alligation Questions

181. 17 liters if mixture has 80% milk. How much milk should be added to the mixture ti make it 90% pure?

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Correct Ans:17 liters

Explanation:

In mixture, concentration of milk = 80 % In milk, concentration of milk = 100% 80 100 90 10 10 1 1 Ratio is 1 : 1, hence we need to add 17 liters of milk to the 17 liters of mixture

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182. How many liters of a 12 litre mixture containing milk and water in the ratio of 2 : 3 be replaced with pure milk so that the resultant mixture contains milk and water in equal proportion?

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Correct Ans:2 liters

Explanation:

The mixture contains 40% milk and 60% water in it.

That is 4.8 liters of milk and 7.2 liters of water.

Now we are replacing the mixture with pure milk so that the amount of milk and water in the mixture is 50% and 50%.

That is we will end up with 6 liters of milk and 6 liters of water. Water gets reduced by 1.2 liters.

To remove 1.2 liters of water from the original mixture containing 60% water, we need to remove 1.2 / 0.6 liters of the mixture = 2 liters.

That is 4.8 liters of milk and 7.2 liters of water.

Now we are replacing the mixture with pure milk so that the amount of milk and water in the mixture is 50% and 50%.

That is we will end up with 6 liters of milk and 6 liters of water. Water gets reduced by 1.2 liters.

To remove 1.2 liters of water from the original mixture containing 60% water, we need to remove 1.2 / 0.6 liters of the mixture = 2 liters.

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183. 17 liters if mixture has 80% milk. How much milk should be added to the mixture ti make it 90% pure?

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Correct Ans:17 liters

Explanation:

In mixture, concentration of milk = 80 %
In milk, concentration of milk = 100%
80 100
90
10 10
1 1
Ratio is 1 : 1, hence we need to add 17 liters of milk to the 17 liters of mixture.

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184. Two liquids A and B are mixed together in the ratio 2 : 3. The average cost of liquid B is Rs 30 per liter and the average cost of the mixture is Rs. 25 per liter, then find the average cost of liquid A per liter.

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Correct Ans:17.5

Explanation:

X 30
\ /
25
/ \
2 3
According to alligation equation, (30-25)/(25-x) = 2/3
=> 15 = 50 – 2x
=> X = 35 / 2 = 17.5

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185. How many liters of water should be added to a 30 liter mixture of milk and water containing milk and water in the ratio 7:3 such that the resultant mixture has 40 % water in it.

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Correct Ans:5

Explanation:

30 Liters of mixture, Milk and water in the ratio 7 : 3
Which means, we have 21 liters of milk and 9 liters of water.
We add water the resulting solution is 21 liters of milk and 9 + x liters of water.
Total quantity = 30 +x.
Water percentage is 40 % = > 40 x (30+x)/100 = 9 + x
4(30+x) = 10(9+x) => 120 + 4x = 90 + 10x => 10x – 6x = 120-90
6x = 120 – 90 => 6x = 30 => x = 5

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186. How many liters of water should be added to a 30 liter mixture of milk and water containing milk and water in the ratio 7:3 such that the resultant mixture has 40 % water in it.

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Correct Ans:5

Explanation:

30 Liters of mixture, Milk and water in the ratio 7 : 3
Which means, we have 21 liters of milk and 9 liters of water.
We add water the resulting solution is 21 liters of milk and 9 + x liters of water.
Total quantity = 30 +x.
Water percentage is 40 % = > 40 x (30+x)/100 = 9 + x
4(30+x) = 10(9+x) => 120 + 4x = 90 + 10x => 10x – 6x = 120-90
6x = 120 – 90 => 6x = 30 => x = 5

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187. Two liquids A and B are mixed together in the ratio 2 : 3. The average cost of liquid B is Rs 30 per liter and the average cost of the mixture is Rs. 25 per liter, then find the average cost of liquid A per liter

SHOW ANSWER

Correct Ans:17.5

Explanation:

X 30
25
2 3
According to alligation equation, (30-25)/(25-x) = 2/3
? 15 = 50 ? 2x
? X = 35 / 2 = 17.5

Workspace

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