Alligation or Mixture Questions

FACTS  AND  FORMULAE  FOR  ALLIGATION  OR  MIXTURE  QUESTIONS

 

 

I. Alligation : It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price.

 

II. Mean Price : The cost price of a unit quantity of the mixture is called the mean price.

 

III. Rule of Alligation : Suppose Rs.x per unit be the price of first ingradient mixed with another ingradient (cheaper) of price Rs.y per unit to form a mixture whose mean price is Rs. z per unit, then 

Quantity of cheaper : Quantity of dearer

       = ( C.P of dearer - Mean Price ) : ( Mean Price - C. P of cheaper )

       = ( x- z ) : ( z - y )

 

 IV. Suppose a container contains x units of liquid from which y units are taken out and replaced by water. After  operations , the quantity of pure liquid = x1-yxn units.

 

Q:

In a mixture of milk and water, there is 19% milk. If the quantity of milk in the mixture is 437 mililitres, then what is the total quantity (in millilitres) of mixture?

A) 2300 B) 2200
C) 2350 D) 2400
 
Answer & Explanation Answer: A) 2300

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Q:

In a container, two types of liquids P and Q are in the ratio of 3 : 7. If 10 litres mixture is drawn off from the container and filled with 6 litres of liquid Q,then the ratio of P and Q becomes 1 : 3. What was the original quantity (in litres) of mixture?

A) 34 B) 36
C) 30 D) 40
 
Answer & Explanation Answer: D) 40

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5 1280
Q:

In a mixture, water and milk are in the ratio of 3 : 5. In the second mixture, the ratio of water and milk is 9 : 11. If these two mixtures be mixed to form anew mixture in which water and milk are in ratio 5 : 7, then what is the ratio of these two mixtures in the new mixture?

A) 1 : 2 B) 3 : 2
C) 4 : 5 D) 4 : 7
 
Answer & Explanation Answer: C) 4 : 5

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Q:

5 litres of honey contains 80% sugar. 3 litres of water is added to this honey. What is the percentage of sugar in the new mixture?

 

A) 40 B) 50
C) 60 D) 75
 
Answer & Explanation Answer: B) 50

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Q:

A mixture of 50 kg of cement and gravel contains 10% of gravel. How many kg of gravel must be added to make the gravel content 28% in the new mixture?

 

A) 14.5 B) 10.5
C) 12.5 D) 17.5
 
Answer & Explanation Answer: C) 12.5

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3 1241
Q:

Two water squash mixtures, the first with a water-to-squash ratio of 5:1 and the letter with a ratio of 3:1 are blended in the ratio 3:2. What is the final water : squash ratio in the blend?

 

A) 4:1 B) 10:9
C) 5:3 D) 6:1
 
Answer & Explanation Answer: A) 4:1

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Q:

Wheat costing Rs 30/kg, Rs 35/kg and a third variety of wheat are mixed in the ratio of 3 : 4 : 2. If the mixture is costs Rs 34/kg, then what will be the cost (in Rs/kg) of the third variety of wheat?

 

A) 46 B) 42
C) 32 D) 38
 
Answer & Explanation Answer: D) 38

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Q:

A mixture of 240 litres of juice and water contains 15% water. How much more water (in litres) should be added to this so that the strength of water will become 25% in the new mixture?

 

A) 28 B)  32
C)  26 D)  34
 
Answer & Explanation Answer: B)  32

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