446. 18% of which number is equal to 12% of 75 ?

1. 1. 50

   
   
   

   2. 100

   
   
   

   3. 2

   
   
   

   4. 3

      2

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the number be N.
   

   N ×	18	= 75 ×	12
   	100		100

   
   

   Correct Option: A

   Let the number be N.
   

   N ×	18	= 75 ×	12
   	100		100

   
   

   ⇒ N =	75 × 12	= 50
   	18

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447. The sum of the numbers of boys and girls in a school is 150. If the number of boys is N, the number of girls becomes N% of the total number of students. The number of boys is :

1. 1. 90

   
   
   

   2. 50

   
   
   

   3. 40

   
   
   

   4. 60

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question
   

   N +	N × 150	= 150
   	100

   
   

   ⇒ N +	3	N = 150
   	2

   
   

   Correct Option: D

   According to question
   

   N +	N × 150	= 150
   	100

   
   

   ⇒ N +	3	N = 150
   	2

   
   ⇒ 2N + 3N = 2 × 150 = 300
   ⇒ 5N = 300 ⇒ N = 60

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448. Two numbers are respectively 25% and 20% less than a third number. What percent is the first number of the second ?

1. 1. 5%

   
   
   

   2. 75%

   
   
   

   3. 80%

   
   
   

   4. 93.75%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Rule : If two numbers are respectively p% and q% less than the third number, first number as a percentage of second is
   

   	100 - p	× 100%
   	100 - q

   
   Here , p = 25% , q = 20%
   

   Correct Option: D

   Rule : If two numbers are respectively p% and q% less than the third number, first number as a percentage of second is
   

   	100 - p	× 100%
   	100 - q

   
   Here , p = 25% , q = 20%
   

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

   
   

   Required percentage =	75	× 100% = 93.75%
   	80

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449. Two numbers are respectively 20% and 50% of a third number. What percent is the first number of the second?

1. 1. 10%

   
   
   

   2. 20%

   
   
   

   3. 30%

   
   
   

   4. 40%

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the third number be N,
   According to the question;
   

   First number =	20	× N =	N
   	100		5

   
   

   Second number =	50	× N =	N
   	100		2

   
   

   ∴ Required percentage =	( N / 5 ) × 100
   	( N / 2 )

   
   

   Correct Option: D

   Let the third number be N,
   According to the question;
   

   First number =	20	× N =	N
   	100		5

   
   

   Second number =	50	× N =	N
   	100		2

   
   

   ∴ Required percentage =	( N / 5 ) × 100
   	( N / 2 )

   
   

   Required percentage =	N	×	2	× 100 = 40%
   	5		N

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450. When 75% of a number is added to 75, the result is the same number. Find the number :

1. 1. 225

   
   
   

   2. 270

   
   
   

   3. 300

   
   
   

   4. 325

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let number be N.
   ∴ According to question,
   75% of N + 75 = N
   

   	3N	+ 75 = N ⇒ N -	3N	= 75
   	4		4

   
   

   Correct Option: C

   Let number be N.
   ∴ According to question,
   75% of N + 75 = N
   

   	3N	+ 75 = N ⇒ N -	3N	= 75
   	4		4

   
   N = 75 × 4 = 300
   Hence , required number is 300 .

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