301. The ratio of syrup and water in a mixture is 3 : 1, then the percentage of syrup in this mixture is :

1. 1. 75%

   
   
   

   2. 25%

   
   
   

   3. 66	2	%
      	3

   
   
   

   4. 33	1	%
      	3

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , The ratio of syrup and water = 3 : 1
   Let quantity of syrup = 3k and quantity of water = k
   

   Percentage of syrup =	3	× 100
   	4

   Correct Option: A

   Given that , The ratio of syrup and water = 3 : 1
   Let quantity of syrup = 3k and quantity of water = k
   

   Percentage of syrup =	3	× 100 = 75%
   	4

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302. A milkman mixed some water with milk to gain 25% by selling the mixture at the cost price. The ratio of water and milk is respectively

1. 1. 5 : 4

   
   
   

   2. 4 : 5

   
   
   

   3. 1 : 5

   
   
   

   4. 1 : 4

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let C.P. of 1 litre of milk= Rs. 100
   

   ∴ Mixture sold for Rs. 125 =	125	=	5	litre
   	100		4

   
   

   Correct Option: D

   Let C.P. of 1 litre of milk= Rs. 100
   

   ∴ Mixture sold for Rs. 125 =	125	=	5	litre
   	100		4

   
   

   ∴ Quantity of water =	5	- 1 =	1	litre
   	4		4

   
   

   ∴ Required ratio =	1	: 1 = 1 : 4
   	4

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303. The ratio of the number of boys to that of girls in a village is 3 : 2. If 30% of boys and 70% of girls appeared in an examination, the ratio of the number of villagers, appeared in the examination to that not appeared in the same examination is

1. 1. 9 : 14

   
   
   

   2. 23 : 27

   
   
   

   3. 1 : 1

   
   
   

   4. 27 : 23

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given , Ratio = 3 : 2
   Let Boys in the village = 3k
   Girls in the village = 2k
   

   Villagers who appeared in the examination =	3k × 30	+	2k × 70
   	100		100

   
   

   Villagers who appeared in the examination =	9k	+	14k	=	23k
   	10		10		10

   
   

   Villagers who did not appear in the examination =	3k × 70	+	2k × 30
   	100		100

   
   

   Correct Option: B

   Given , Ratio = 3 : 2
   Let Boys in the village = 3k
   Girls in the village = 2k
   

   Villagers who appeared in the examination =	3k × 30	+	2k × 70
   	100		100

   
   

   Villagers who appeared in the examination =	9k	+	14k	=	23k
   	10		10		10

   
   

   Villagers who did not appear in the examination =	3k × 70	+	2k × 30
   	100		100

   
   

   Villagers who did not appear in the examination =	21k	+	6k	=	27k
   	10		10		10

   
   

   ∴ Required ratio =	23k	:	27k	= 23 : 27
   	10		10

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304. If 50% of p = 30% of q, then p : q is

1. 1. 2 : 3

   
   
   

   2. 5 : 3

   
   
   

   3. 3 : 2

   
   
   

   4. 3 : 5

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , 50% of p = 30% of q
   

   ⇒	p × 50	=	q × 30
   	100		100

   
   

   Correct Option: D

   Given that , 50% of p = 30% of q
   

   ⇒	p × 50	=	q × 30
   	100		100

   
   

   ⇒	p	=	30	=	3	= 3 5 :
   	q		50		5

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305. In what ratio must 25% hydrochloric acid be mixed with 60% hydrochloric acid to get a mixture of 40% hydrochloric acid ?

1. 1. 5 : 12

   
   
   

   2. 4 : 3

   
   
   

   3. 3 : 4

   
   
   

   4. 12 : 5

   
   
   

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1. View Hint View Answer Discuss in Forum

   By alligation,
   
   

   Correct Option: C

   By alligation,
   
   ∴ Required ratio = 15 : 20 = 3 : 4

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