451. When 60 is subtracted from 60% of a number, the result is 60. The number is :

1. 1. 120

   
   
   

   2. 150

   
   
   

   3. 180

   
   
   

   4. 200

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the number be N. Then
   N – 60% of N = 60
   ⇒ N – 0.60N= 60
   ⇒ 0.4N = 60
   

   ⇒ N =	60	⇒ N =	600
   	0.4		4

   
   

   Correct Option: B

   Let the number be N. Then
   N – 60% of N = 60
   ⇒ N – 0.60N= 60
   ⇒ 0.4N = 60
   

   ⇒ N =	60	⇒ N =	600
   	0.4		4

   
   N = 150
   ∴ The number is 150

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452. If 120 is 20% of a number, then 120% of that number will be :

1. 1. 20

   
   
   

   2. 120

   
   
   

   3. 480

   
   
   

   4. 720

   
   
   

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1. View Hint View Answer Discuss in Forum

   Suppose number be N .
   Given , 20% of N = 120
   

   N ×	20	= 120
   	100

   
   

   N =	120 × 100	= 600
   	20

   
   

   Correct Option: D

   Suppose number be N .
   Given , 20% of N = 120
   

   N ×	20	= 120
   	100

   
   

   N =	120 × 100	= 600
   	20

   
   

   600 × 120% = 600 ×	120	= 720
   	100

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453. If 80% of a number added to 80 gives the result as the number itself, then the number is

1. 1. 200

   
   
   

   2. 300

   
   
   

   3. 400

   
   
   

   4. 500

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the number be N.
   According to the question 80% of N + 80 = N
   

   ⇒	80N	+ 80 = N
   	100

   
   

   ⇒	4N	+ 80 = N
   	5

   
   

   Correct Option: C

   Let the number be N.
   According to the question 80% of N + 80 = N
   

   ⇒	80N	+ 80 = N
   	100

   
   

   ⇒	4N	+ 80 = N
   	5

   
   

   ⇒	N	= 80 ⇒ N = 400
   	5

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454. Out of two numbers, 40% of the greater number is equal to 60% of the smaller. If the sum of the numbers is 150, then the greater number is

1. 1. 70

   
   
   

   2. 80

   
   
   

   3. 90

   
   
   

   4. 60

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let greater number be p.
   ∴ Smaller number = 150 – p
   According to the question,
   

   	40 × p	=	60(150 - p)
   	100		100

   
   

   Correct Option: C

   Let greater number be p.
   ∴ Smaller number = 150 – p
   According to the question,
   

   	40 × p	=	60(150 - p)
   	100		100

   
   ⇒ 2p = 3 × 150 – 3p
   ⇒ 5p = 3 × 150
   ⇒ p = 90

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455. If 50% of (P – Q) = 30% of (P + Q) and Q = y% of P, then the value of y is :

1. 1. 30

   
   
   

   2. 25

   
   
   

   3. 20

   
   
   

   4. 50

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , 50% of (P – Q) = 30% of (P + Q)
   

   ⇒	P - Q	= (P + Q) ×	30
   	2		100

   
   ⇒ 5(P – Q) = (P + Q) × 3
   ⇒ 5P – 3P = 5Q + 3Q
   ⇒ 2P = 8Q
   

   Correct Option: B

   Given that , 50% of (P – Q) = 30% of (P + Q)
   

   ⇒	P - Q	= (P + Q) ×	30
   	2		100

   
   ⇒ 5(P – Q) = (P + Q) × 3
   ⇒ 5P – 3P = 5Q + 3Q
   ⇒ 2P = 8Q
   

   ⇒ P = 4Q = 4 ×	P × y
   	100

   
   

   ⇒	4y	= 1 ⇒ y = 25
   	100

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