296. If 35% of A’s income is equal to 25% of B’s income, then the ratio of A’s income to B’s income is

1. 1. 7 : 5

   
   
   

   2. 5 : 7

   
   
   

   3. 4 : 7

   
   
   

   4. 4 : 3

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to the question,
   A × 35% = B × 25%
   

   ⇒	A	=	25	=	5
   	B		35		7

   Correct Option: B

   According to the question,
   A × 35% = B × 25%
   

   ⇒	A	=	25	=	5
   	B		35		7

   
   Hence , required ratio is 5 : 7 .

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297. The ratio of the number of boys and girls in a school is 3 : 2. If 20% of the boys and 25% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is

1. 1. 56

   
   
   

   2. 78

   
   
   

   3. 70

   
   
   

   4. 80

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the number of students in school be 100.
   Boys ⇒ 60
   Girls ⇒ 40
   Students who do not hold scholarship :
   

   Boys ⇒	60 × 80	= 48
   	100

   
   

   Correct Option: B

   Let the number of students in school be 100.
   Boys ⇒ 60
   Girls ⇒ 40
   Students who do not hold scholarship :
   

   Boys ⇒	60 × 80	= 48
   	100

   
   

   Girls ⇒	40 × 75	= 30
   	100

   
   Required answer = 48 + 30 = 78
   

   ∴ Required percentage =	78	× 100 = 78%
   	100

   
   

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298. The ratio between Ram’s age and Rahim’s age is 10 : 11. What is the age of Rahim in percentage of Ram’s age ?

1. 1. 109	1	%
      	11

   
   
   

   2. 110%

   
   
   

   3. 111	1	%
      	9

   
   
   

   4. 111%

   
   
   

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1. View Hint View Answer Discuss in Forum

   The ratio of Ram’s age and Rahim’s age = 10 : 11.
   Let Ram’s age = 10k and Rahim’s age = 11k
   According to question ,
   

   Correct Option: B

   The ratio of Ram’s age and Rahim’s age = 10 : 11.
   Let Ram’s age = 10k and Rahim’s age = 11k
   According to question ,
   

   Required percent =	11	× 100 = 110%
   	10

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299. If 10% of p is 3 times 15% of q, then find p : q.

1. 1. 7 : 2

   
   
   

   2. 9 : 2

   
   
   

   3. 8 : 3

   
   
   

   4. 11 : 4

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to the question,
   

   p ×	10	= 3 × q ×	15
   	100		100

   
   ⇒ 10p = 45q
   

   Correct Option: B

   According to the question,
   

   p ×	10	= 3 × q ×	15
   	100		100

   
   ⇒ 10p = 45q
   

   ⇒	p	=	45	=	9
   	q		10		2

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300. There is a ratio of 5: 4 between two numbers. If 40 % of the first number is 12, then what would be 50 % of the second number?

1. 1. 12

   
   
   

   2. 24

   
   
   

   3. 18

   
   
   

   4. Data Inadequate

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the numbers be 5k and 4k respectively
   According to the question,
   

   5k ×	40	= 12
   	100

   
   ⇒ 2k = 12 ⇒ k = 6
   

   Correct Option: A

   Let the numbers be 5k and 4k respectively
   According to the question,
   

   5k ×	40	= 12
   	100

   
   ⇒ 2k = 12 ⇒ k = 6
   

   ∴ 4k of 50% = 4 × 6 ×	1	= 12
   	2

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