306. Two numbers A and B are such that the sum of 5% of A and 4% of B is
     

     	2	rd of the sum of 6% of A and 8% of B. The ratio A : B is
     	3

     
     

1. 1. 4 : 3

   
   
   

   2. 3 : 4

   
   
   

   3. 1 : 1

   
   
   

   4. 2 : 3

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question ,
   Numbers ⇒ A and B
   

   ∴	A × 5	+	B × 4
   	100		100

   
   

   =	2		A × 6	+	B × 8
   	3		100		100

   
   

   ⇒ 5A + 4B =	12A + 16B
   	3

   
   ⇒ 15A + 12B = 12A + 16B
   ⇒ 15A – 12A = 16B – 12B
   

   Correct Option: A

   According to question ,
   Numbers ⇒ A and B
   

   ∴	A × 5	+	B × 4
   	100		100

   
   

   =	2		A × 6	+	B × 8
   	3		100		100

   
   

   ⇒ 5A + 4B =	12A + 16B
   	3

   
   ⇒ 15A + 12B = 12A + 16B
   ⇒ 15A – 12A = 16B – 12B
   ⇒ 3A = 4B
   

   ⇒	A	=	4	= 4 : 3
   	B		3

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307. The ratio of the number of boys and girls in a school is 2 : 3. If 25% of the boys and 30% of the girls are scholarship holders, the percentage of the school students who are not scholarship holders is

1. 1. 72

   
   
   

   2. 36

   
   
   

   3. 54

   
   
   

   4. 60

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let Boys in school = 2k and Girls = 3k.
   Students who are not scholarship holders :
   

   Boys ⇒	2k × 75	=	6k
   	100		4

   
   

   Girls ⇒	3k × 70	=	21k
   	100		10

   
   

   Total students who do not hold scholarship =	6k	+	21k
   	4		10

   
   

   Correct Option: A

   Let Boys in school = 2k and Girls = 3k.
   Students who are not scholarship holders :
   

   Boys ⇒	2k × 75	=	6k
   	100		4

   
   

   Girls ⇒	3k × 70	=	21k
   	100		10

   
   

   Total students who do not hold scholarship =	6k	+	21k
   	4		10

   
   

   Total students who do not hold scholarship =	30k + 42k	=	72k	=	18k
   	20		20		5

   
   

   ∴ Required percentage =	18k
   	5	× 100 = 72%
   	5k

   
   

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308. If 15% of p is same as 20 % of q then p : q is

1. 1. 4 : 3

   
   
   

   2. 5 : 4

   
   
   

   3. 6 : 5

   
   
   

   4. 3 : 4

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question ,
   15% of p = 20 % of q
   

   p ×	15	= q ×	20
   	100		100

   
   ⇒ p × 15 = q × 20
   

   Correct Option: A

   According to question ,
   15% of p = 20 % of q
   

   p ×	15	= q ×	20
   	100		100

   
   ⇒ p × 15 = q × 20
   

   ⇒	p	=	20	=	4	= 4 : 3
   	q		15		3

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309. The prices of a school bag and a shoe are in the ratio 7 : 5. The price of a school bag is 200 more than the price of a shoe. Then the price of a shoe is

1. 1. ₹ 200

   
   
   

   2. ₹ 700

   
   
   

   3. ₹ 500

   
   
   

   4. ₹ 1,200

   
   
   

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1. View Hint View Answer Discuss in Forum

   Given that , Ratio = 7 : 5.
   Let The prices of a school bag and a shoe are 7k and 5k .
   Difference between their prices = 200
   7k – 5k = 200
   ⇒ 2k = 200 ⇒ k = 100
   

   Correct Option: C

   Given that , Ratio = 7 : 5.
   Let The prices of a school bag and a shoe are 7k and 5k .
   Difference between their prices = 200
   7k – 5k = 200
   ⇒ 2k = 200 ⇒ k = 100
   ∴ Price of a pair of shoes = 5k = 5 × 100 = ₹ 500

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310. The population of a town is 3,11,250. The ratio between women and men is 43 : 40. If there are 24% literate among men and 8% literate among women, the total number of literate persons in the town is

1. 1. 41,800

   
   
   

   2. 48,900

   
   
   

   3. 56,800

   
   
   

   4. 99,600

   
   
   

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1. View Hint View Answer Discuss in Forum

   According to question ,
   

   Women =	43	× 311250 = 161250
   	83

   
   Men = 311250 – 161250 = 150000
   

   Correct Option: B

   According to question ,
   

   Women =	43	× 311250 = 161250
   	83

   
   Men = 311250 – 161250 = 150000
   

   ∴ Total number of literate persons =	161250 × 8	+ 150000 ×	24
   	100		100

   
   Total number of literate persons = 12900 + 36000 = 48900

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