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:

A mixture is composed of 11 parts of pure milk and 2 parts of water. If 35 litres of water were added to the mixture then the new mixture will contain twice as much pure milk as water, then how many litres of pure milk does the original mixture contain?

A) 110 B) 55
C) 220 D) 70
 
Answer & Explanation Answer: A) 110

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0 2108
Q:

In a container, there is 960 ltr of pure milk from which 48 ltr of milk is replaced with 48 ltr of water, again 48 ltr milk is replaced by same amount of water, as this process is done once more. Now, what is the amount of pure milk?

A) 901.54 ltr B) 821.54 ltr
C) 719.64 ltr D) 823.08 ltr
 
Answer & Explanation Answer: D) 823.08 ltr

Explanation:

Amount of pure milk= a(1 –b/a)n(n = 3, a = pure milk and b = amount replaced)= 960 (1 –48/960)^3= 960(1-1/20)^3= 960 * 19/20 * 19/20*19/20= 823.08 lt.

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1 2063
Q:

80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?

A) 8 B) 9
C) 10 D) 12
 
Answer & Explanation Answer: C) 10

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6 2059
Q:

2/3 of a milk-water mixture was milk. There was 21 lit of the mixture. If 4 lit of water is added to it, the % of milk in the new mixture will be:

A) 56 B) 11
C) 44 D) 14
 
Answer & Explanation Answer: A) 56

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16 2046
Q:

Three bottles of equal capacity containing mixture of milk and water in ratio 2 : 5, 3 : 4 and 4 : 5 respectively. These three bottles are emptied into a large bottle. What will be the ratio of milk and water respectively in the large bottle?

A) 73 : 106 B) 73 : 116
C) 73 : 113 D) 73 : 189
 
Answer & Explanation Answer: B) 73 : 116

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5 2028
Q:

Price of 1 kg of sugar is increased by 30% and the increase is of Rs 48. What is the new price (in Rs) of the sugar per kg?

A) 178 B) 160
C) 208 D) 216
 
Answer & Explanation Answer: C) 208

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8 1984
Q:

Three boxes of capacity 24 kg, 36 kg and 84 kg are completely filled with three varieties of wheat A, B and C respectively. All the three boxes were emptied and the three types of wheat were thoroughly mixed and the mixture was put back in the three boxes. How many kg of type A wheat would be there in the third box (in kg)?

A) 10 B) 12
C) 14 D) 16
 
Answer & Explanation Answer: C) 14

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5 1935
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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