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 what ratio sugar of Rs 38 per kg and Rs 30 per kg be mixed with each other so that on selling mixture at Rs 35.2 per kg there will be a profit of 10%?

A) 1 : 3 B) 3 : 7
C) 13 : 7 D) 9 : 4
 
Answer & Explanation Answer: A) 1 : 3

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5 1786
Q:

If a dairy mixes cow's milk which contains 10% fat with buffalo's milk which contains 20% fat, then the resulting mixture has fat (120/7)% of fat. What ratio was the cow's milk mixed with buffalo's milk?

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

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6 1753
Q:

A milkman buys milk at Rs 25 per litre and adds 1/4 of water to it and sells the mixture at Rs 26 per litre. His gain (in %) is?

A) 25 B) 20
C) 30 D) 15
 
Answer & Explanation Answer: C) 30

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6 1741
Q:

In a colored picture of blue and yellow color, blue and yellow color is used in the ratio of 4:3 respectively. If in upper half, blue : yellow is 2:3, then in the lower half blue : yellow is

A) 1 : 1 B) 2 : 1
C) 26 : 9 D) 9 : 26
 
Answer & Explanation Answer: C) 26 : 9

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5 1718
Q:

In what ratio must a mixture of 20% milk strength be mixed with that of 60% milk strength so as to get a new mixture of 25% milk strength ?

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

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5 1706
Q:

The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increase by 25%. What is the age (in years) of the servant?

A) 30 B) 35
C) 50 D) 55
 
Answer & Explanation Answer: D) 55

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5 1674
Q:

In what ratio should coffee powder costing Rs 2500/kg be mixed with coffee powder costing Rs 1500/kg so that the cost of the mixture is Rs 2250/kg?

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

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8 1662
Q:

A milk merchant buys 50 litres of milk at the rate of Rs 40 per litre and mixes 5 litres of water in it. If he sells this mixture at the rate of Rs 42 per litre, then what is the profit percentage for the dealer?

A) 17.2 B) 14.4
C) 16.6 D) 15.5
 
Answer & Explanation Answer: D) 15.5

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7 1620