121. A mixture contains spirit and water in the ratio 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is

1. 1. 10 litres

   
   
   

   2. 12 litres

   
   
   

   3. 8 litres

   
   
   

   4. 9 litres

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the amount of water be x litres.
   

   Then,	x + 3	=	3
   	x		2

   
   or 2x + 6 = 3x
   or x = 6
   ∴  The quantity of spirit in the
   mixture = x + 3 = 6 + 3 = 9 litres

   Correct Option: D

   Let the amount of water be x litres.
   

   Then,	x + 3	=	3
   	x		2

   
   or 2x + 6 = 3x
   or x = 6
   ∴  The quantity of spirit in the
   mixture = x + 3 = 6 + 3 = 9 litres

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122. A vessel is filled with liquid, 3 parts of which are water and 5 parts syrup. How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup ?

1. 1. 1

      3

   
   
   

   2. 1

      4

   
   
   

   3. 1

      5

   
   
   

   4. 1

      7

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   Ratio = 4 : 1
   

   ∴  Required quantity =	1
   	5

   Correct Option: C

   
   Ratio = 4 : 1
   

   ∴  Required quantity =	1
   	5

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123. Two vessels A and B contain milk and water mixed in the ratio 4 : 3 and 2 : 3. The ratio in which these mixtures be mixed to form a new mixture containing half milk and half water is

1. 1. 7 : 5

   
   
   

   2. 6 : 5

   
   
   

   3. 5 : 6

   
   
   

   4. 4 : 3

   
   
   

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1. View Hint View Answer Discuss in Forum

   
   

   ∴  Required ratio =	1	:	1	= 7 : 5
   	10		14

   Correct Option: A

   
   

   ∴  Required ratio =	1	:	1	= 7 : 5
   	10		14

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124. In 30 litres mixture of acid, the ratio of acid and water is 2 : 3 . What amount of water should be added to the mixture so that the ratio of acid and water becomes 2 : 5 ?

1. 1. 10 litres

   
   
   

   2. 15 litres

   
   
   

   3. 18 litres

   
   
   

   4. 12 litres

   
   
   

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1. View Hint View Answer Discuss in Forum

   In 30 litres of mixture,
   

   Acid =	2	× 30 = 12 litres
   	5

   
   

   Water =	3	× 100 = 18 litres
   	5

   
   

   ∴	12	=	2
   	18 + x		5

   
   ⇒  60 = 36 + 2x
   ⇒  2x = 60 – 36 = 24
   ⇒  x = 12 litres of water.

   Correct Option: D

   In 30 litres of mixture,
   

   Acid =	2	× 30 = 12 litres
   	5

   
   

   Water =	3	× 100 = 18 litres
   	5

   
   

   ∴	12	=	2
   	18 + x		5

   
   ⇒  60 = 36 + 2x
   ⇒  2x = 60 – 36 = 24
   ⇒  x = 12 litres of water.

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125. The proportion of acid and water in three samples is 2 : 1, 3 : 2 and 5 : 3. A mixture containing equal quantities of all three samples is made. The ratio of water and acid in the mixture is :

1. 1. 120 : 133

   
   
   

   2. 227 : 133

   
   
   

   3. 227 : 120

   
   
   

   4. 133 : 227

   
   
   

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1. View Hint View Answer Discuss in Forum

   Required ratio
   

   =		2	+	3	+	5		:		1	+	2	+	3
   		3		5		8				3		5		8

   
   

   =		80 + 72 + 75		:		40 + 48 + 45
   		120				120

   
   = 227 : 133

   Correct Option: B

   Required ratio
   

   =		2	+	3	+	5		:		1	+	2	+	3
   		3		5		8				3		5		8

   
   

   =		80 + 72 + 75		:		40 + 48 + 45
   		120				120

   
   = 227 : 133

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