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 45 litres, the ratio of liquid A and liquid B is 7 : 2. If 11 litres of liquid B is added to the mixture, then what will be the ratio of liquid A and liquid B in the new mixture?

 

A) 7 : 4 B) 8 : 5
C) 6 : 5   D) 5 : 3
 
Answer & Explanation Answer: D) 5 : 3

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Q:

In what ratio must a mixture of 11% sugar strength be mixed with that of 25% sugar strength so as to get a new mixture of 13% sugar strength?

A) 5:1 B) 6:1
C) 7:2 D) 10:3
 
Answer & Explanation Answer: B) 6:1

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Q:

In a bucket, paint and oil are in the ratio 7 : 5. 24 litres of mixture is drawn off and 24 litres of oil is added. If the ratio of paint and oil becomes 1 : 1, then how many litres of paint was contained in the bucket initially?

 

A) 49   B)  63  
C)  84   D) 98
 
Answer & Explanation Answer: D) 98

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Q:

35% of an alloy was silver. If in the quantity of alloy there was 119 g of silver, what was the quantity of the elements in the alloy?

A) 273 g B) 204 g
C) 221 g D) 340 g
 
Answer & Explanation Answer: C) 221 g

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Q:

In a mixture 25 liters, the ratio of milk and water is 4:1. How many liters of milk must be added to make the ratio 16:1?

 

A) 21 B) 25
C) 60 D) 36
 
Answer & Explanation Answer: C) 60

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Q:

In what ratio wheat costing Rs 17/kg mixed with another wheat costing Rs 12/kg to get a mixture costing Rs 13.5/ kg?

 

A) 1 : 2   B) 2 : 5  
C) 3 : 7   D) 4 : 9
 
Answer & Explanation Answer: C) 3 : 7  

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Q:

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

 

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

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Q:

In what ratio rice costing Rs 14/kg mixed with another rice costing Rs 11/kg to get the mixture costing Rs 11.6/kg?

 

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

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