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:

20 kg of a mixture of wheat and husk contains 5% husk. How many kg more of husk must be added to make the husk content 20% in the new mixture?

A) 2.75 B) 3.75
C) 4.75 D) 5.75
 
Answer & Explanation Answer: B) 3.75

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5 1622
Q:

An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?

A) 250 B) 750
C) 1000 D) 500
 
Answer & Explanation Answer: D) 500

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3 1619
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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7 1618
Q:

In a triangle XYZ , which of the following conditions is true

A) XY ­ YZ > ZX B) XY + YZ < ZX
C) XY ­ YZ < XZ D) XY + ZX < YZ
 
Answer & Explanation Answer: C) XY ­ YZ < XZ

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2 1605
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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2 1597
Q:

An 80 litre mixture of water and acid contains 20% acid. How much acid should be added to make the acid 60% in the new mixture?

 

 

A) 60 B) 80
C) 70 D) 90
 
Answer & Explanation Answer: B) 80

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2 1571
Q:

50 litre mixture of water and alcohol contains 10% alcohol. How much more alcohol must be added to make the strength of alcohol 40% in the new mixture?

A) 25 B) 30
C) 20 D) 23
 
Answer & Explanation Answer: A) 25

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7 1570
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 1568