416. If A is equal to 20% of B and B is equal to 25% of C; then what percent of C is equal to A?

1. 1. 10

   
   
   

   2. 15

   
   
   

   3. 5

   
   
   

   4. 20

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let, C = 100
   

   ∴ B = 100 ×	25	= 25
   	100

   
   

   ∴ A =	20	× 25 = 5
   	100

   
   

   Correct Option: C

   Let, C = 100
   

   ∴ B = 100 ×	25	= 25
   	100

   
   

   ∴ A =	20	× 25 = 5
   	100

   
   ∴ y % of C = 5
   

   ⇒	y	× 100 = 5 ⇒ y = 5
   	100

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417. A village lost 12% of its goats in a flood and 5% of remainder died from diseases. If the number left now is 8360, what was the original number before the flood?

1. 1. 1000

   
   
   

   2. 10000

   
   
   

   3. 1,00,000

   
   
   

   4. 8360

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let Number of goats before flood = N
   According to the question,
   

   N ×	88	×	95	= 8360
   	100		100

   
   

   Correct Option: B

   Let Number of goats before flood = N
   According to the question,
   

   N ×	88	×	95	= 8360
   	100		100

   
   

   ⇒ N =	8360 × 100 × 100	= 10000
   	88 × 95

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418. A number is increased by 20%. To get back to the orignal number, the increased number is to be reduced by

1. 1. 20%

   
   
   

   2. 21%

   
   
   

   3. 16	2	%
      	3

   
   
   

   4. 14	1	%
      	3

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question ,
   

   Required percent =		20			× 100
   		100 + 20

   
   

   Required percent =	2000	=	50
   	120		3

   
   

   Correct Option: C

   According to question ,
   

   Required percent =		20			× 100
   		100 + 20

   
   

   Required percent =	2000	=	50
   	120		3

   
   

   Required percent = 16	2	%
   	3

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419. The number of students in a class is increased by 20% and the number now becomes 66. Initially the number was

1. 1. 45

   
   
   

   2. 50

   
   
   

   3. 55

   
   
   

   4. 60

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let Initial number of students in the class = N
   According to the question,
   

   N ×	120	= 66
   	100

   
   

   Correct Option: C

   Let Initial number of students in the class = N
   According to the question,
   

   N ×	120	= 66
   	100

   
   

   N =	66 × 100	= 55
   	120

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420. One number is 25% of another number. The larger number is 12 more than the smaller. The larger number is

1. 1. 48

   
   
   

   2. 16

   
   
   

   3. 4

   
   
   

   4. 12

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the larger number be N.
   

   ∴ Smaller number =	25N	=	N
   	100		4

   
   According to the question,
   

   N -	N	= 12
   	4

   
   

   ⇒	3N	= 12
   	4

   
   

   Correct Option: B

   Let the larger number be N.
   

   ∴ Smaller number =	25N	=	N
   	100		4

   
   According to the question,
   

   N -	N	= 12
   	4

   
   

   ⇒	3N	= 12
   	4

   
   ⇒ 3N = 12 × 4
   

   ⇒ N =	12 × 4	= 16
   	3

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