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:

Three bottles of equal capacity have mixture of milk and water in ratio 5 : 7, 7 : 9 and 2 : 1 respectively. These three bottles are emptied into a large bottle. What is the percentage of milk in the new mixture?

A) 49.6 B) 52.3
C) 51.2 D) 50.7
 
Answer & Explanation Answer: D) 50.7

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7 1619
Q:

In two types of brass, the ratios of Copper to Zinc are 8:3 and 15:7 respectively. If the two types of brass be melted and mixed in the ratio 5:2 a new type of brass is obtained. The ratio of Copper to Zinc in this new type of brass is

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

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5 1619
Q:

The ratio of milk and water in three samples is 1 : 3, 3 : 5 and 11 : 5. A mixture containing equal quantities of all three samples is made. What will be the ratio of milk and water in the new mixture?

A) 7 : 9 B) 5 : 7
C) 15 : 13 D) 9 : 11
 
Answer & Explanation Answer: A) 7 : 9

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8 1616
Q:

A jar contains a blend of a fruit juice and water in the ratio 5 : x. When 1 litre of water is added to 4 litres of the blend the ratio of fruit juice to water becomes 1 : 1. What is the value of x?

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

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6 1614
Q:

Two bottles contain acid and water in the ratio 2 : 3 and 1 : 2 respectively. These are mixed in the ratio 1 : 3. What is the ratio of acid and water in the new mixture ?

A) 7:13 B) 11:57
C) 23:37 D) 1:3
 
Answer & Explanation Answer: A) 7:13

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5 1601
Q:

Solution A contains 10% acid and solution B contains 30% acid. In what ratio should solution A be mixed with Solution B to obtain a mixture with 25% acid?

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

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3 1590
Q:

The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?

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

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7 1531
Q:

There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.

A) 25 Litres B) 20 Litres
C) 35 Litres D) 30 Litres
 
Answer & Explanation Answer: D) 30 Litres

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4 1513