401. Which number is 40% less than 90 ?

1. 1. 36

   
   
   

   2. 54

   
   
   

   3. 50

   
   
   

   4. 60

   
   
   

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1. View Hint View Answer Discuss in Forum

   Required number = 60% of 90 =	90 × 60
   	100

   Correct Option: B

   Required number = 60% of 90 =	90 × 60	= 54
   	100

   
   Hence , required answer is 54.

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402. Two numbers are respectively 12	1	% and 25% more than a third number.
     	2

     
     The first number as percentage of second number is

1. 1. 50

   
   
   

   2. 60

   
   
   

   3. 75

   
   
   

   4. 90

   
   
   

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1. View Hint View Answer Discuss in Forum

   If the third number is 100, then the numbers are
   

   100 +	25	=	225	and 125 respectively.
   	2		2

   
   

   Correct Option: D

   If the third number is 100, then the numbers are
   

   100 +	25	=	225	and 125 respectively.
   	2		2

   
   

   ∴ First number as a percentage of the second =	225	× 100 = 90
   	2 × 125

   
   Rule : If two numbers are respectively a% and b% more than a third number the first as a percent of second is
   

   	100 + a	× 100%
   	100 + b

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403. If a number p is 10% less than another number q and q is 10% more than 125, then p is equal to :

1. 1. 150

   
   
   

   2. 143

   
   
   

   3. 140.55

   
   
   

   4. 123.75

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question ,
   

   q is 10% more than 125 = 125 ×	110	= 137.5 = q
   	100

   
   and p is 10% less than q
   

   Correct Option: D

   According to question ,
   

   q is 10% more than 125 = 125 ×	110	= 137.5 = q
   	100

   
   and p is 10% less than q
   

   p =	90	× q =	90	× 137.5 = 123.75
   	100		100

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404. The difference of two numbers is 20% of the larger number. If the smaller number is 20, the larger number is :

1. 1. 25

   
   
   

   2. 45

   
   
   

   3. 50

   
   
   

   4. 80

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the larger number be y.
   ⇒ According to question,
   y – 20 = 20% of y
   

   or, y – 20 =	y
   	5

   
   

   or, y –	y	= 20
   	5

   
   

   Correct Option: A

   Let the larger number be y.
   ⇒ According to question,
   y – 20 = 20% of y
   

   or, y – 20 =	y
   	5

   
   

   or, y –	y	= 20
   	5

   
   or, 5y – y = 20 × 5
   or, 4y = 20 × 5
   ⇒ y = 5 × 5 = 25

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405. If p earns 25% more than q. What percent less does q earn than p ?

1. 1. 16%

   
   
   

   2. 10%

   
   
   

   3. 20%

   
   
   

   4. 25%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Here , A = 25%
   

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

   
   

   Correct Option: C

   Here , A = 25%
   

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

   
   

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

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