406. B got 20% marks less than A. What percent marks did A got more than B ?

1. 1. 20%

   
   
   

   2. 25%

   
   
   

   3. 12%

   
   
   

   4. 80%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , A = 20%
   We find the required percentage with the help of given formula ,
   

   Required percentage =	A	× 100%
   	100 - A

   Correct Option: B

   Given that , A = 20%
   We find the required percentage with the help of given formula ,
   

   Required percentage =	A	× 100%
   	100 - A

   
   

   Required percentage =	20	× 100 = 25%
   	100 - 20

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407. If A’s height is 10% more than B’s height, by how much percent less is B’s height than that of A ?

1. 1. 10%

   
   
   

   2. 10	1	%
      	9

   
   
   

   3. 10	1	%
      	11

   
   
   

   4. 9	1	%
      	11

   
   
   

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1. View Hint View Answer Discuss in Forum

   As we know that If the first value is r % more than the second value, then second value
   

   is		r	× 100		% less than the first value.
   		100 + r

   
   Here r = 10%.
   

   ∴ Required percentage =	10	× 100 =	100
   	110		11

   
   

   Correct Option: D

   As we know that If the first value is r % more than the second value, then second value
   

   is		r	× 100		% less than the first value.
   		100 + r

   
   Here r = 10%.
   

   ∴ Required percentage =	10	× 100 =	100
   	110		11

   
   

   ∴ Required percentage = 9	1	%
   	11

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408. If p is 10% more than q, then by what percent is q less than p ?

1. 1. 9	1	%
      	11

   
   
   

   2. 7	1	%
      	11

   
   
   

   3. 8	1	%
      	11

   
   
   

   4. 10	1	%
      	11

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , A = 10%
   We know that ,
   

   Required percent decrease =	A	× 100
   	100 + A

   
   

   Required percent decrease =	10	× 100
   	100 + 10

   
   

   Correct Option: A

   Here , A = 10%
   We know that ,
   

   Required percent decrease =	A	× 100
   	100 + A

   
   

   Required percent decrease =	10	× 100
   	100 + 10

   
   

   Required percent decrease =	10	× 100 = 9	1
   	110		11

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409. If p is less than q by 25% then q exceed p by

1. 1. 33	1	%
      	3

   
   
   

   2. 25%

   
   
   

   3. 75%

   
   
   

   4. 66	2	%
      	3

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let q be 100.
   ∴ p = 75
   

   ∴ Required percentage =	25 × 100	=	100
   	75		3

   
   

   = 33	1	%
   	3

   
   Second method to solve this question,
   Here , A = 25%
   

   Required percentage =	A	× 100%
   	(100 - A)

   
   

   Correct Option: A

   Let q be 100.
   ∴ p = 75
   

   ∴ Required percentage =	25 × 100	=	100
   	75		3

   
   

   = 33	1	%
   	3

   
   Second method to solve this question,
   Here , A = 25%
   

   Required percentage =	A	× 100%
   	(100 - A)

   
   

   Required percentage =	25	× 100%
   	(100 - 25)

   
   

   Required percentage =	25	× 100%
   	75

   
   

   Required percentage = 33	1	%
   	3

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410. 
     

     A boy found the answer for the question “subtract the sum of	1	and	1
     	4		5

     from unity and express the answer in decimals” as 0.45. The percentage of error in his answer was

1. 1. 100	%
      11

   
   
   

   2. 50%

   
   
   

   3. 10%

   
   
   

   4. 200	%
      11

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question ,
   

   Correct answer = 1 –		1	+	1
   		4		5

   
   

   Correct answer = 1 –		5 + 4
   		20

   
   

   Correct answer = 1 –	9	=	11
   	20		20

   
   

   Incorrect answer = 0.45 =	45
   	100

   
   

   Incorrect answer =	9
   	20

   
   

   Error =	11	-	9
   	20		20

   
   

   Error =	2	=	1
   	20		10

   
   

   Correct Option: D

   According to question ,
   

   Correct answer = 1 –		1	+	1
   		4		5

   
   

   Correct answer = 1 –		5 + 4
   		20

   
   

   Correct answer = 1 –	9	=	11
   	20		20

   
   

   Incorrect answer = 0.45 =	45
   	100

   
   

   Incorrect answer =	9
   	20

   
   

   Error =	11	-	9
   	20		20

   
   

   Error =	2	=	1
   	20		10

   
   

   Percentage error =	1	× 100
   	10
   	11
   	20

   
   

   Percentage error =	1	×	20	× 100
   	10		11

   
   

   Percentage error =	200	%
   	11

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