551. Raman’s salary is increased by 5% this year. If his present salary is ₹ 1,806, the last year’s salary was

1. 1. ₹ 1720

   
   
   

   2. ₹ 1620

   
   
   

   3. ₹ 1520

   
   
   

   4. ₹ 1801

   
   
   

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1. View Hint View Answer Discuss in Forum

   Using Rule 17,
   Required Raman’s salary
   

   =	100	× 1806
   	100 + 5

   
   

   =	100	× 1806 = ₹ 1720
   	105

   Correct Option: A

   Using Rule 17,
   Required Raman’s salary
   

   =	100	× 1806
   	100 + 5

   
   

   =	100	× 1806 = ₹ 1720
   	105

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552. In a town, the population was 8000. In one year, male population increased by 10% and female population increased by 8% but the total population increased by 9%. The number of males in the town was :

1. 1. 4000

   
   
   

   2. 4500

   
   
   

   3. 5000

   
   
   

   4. 6000

   
   
   

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1. View Hint View Answer Discuss in Forum

   By Alligation Rule
   
   ∴ Men : Women = 1 : 1
   ∴ Number of men
   

   =	1	× 8000 = 4000
   	2

   Correct Option: A

   By Alligation Rule
   
   ∴ Men : Women = 1 : 1
   ∴ Number of men
   

   =	1	× 8000 = 4000
   	2

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553. The population of a village was 9800. In a year, with the increase in population of males by 8% and that of females by 5%, the population of the village became 10458. What was the number of males in the village before increase ?

1. 1. 4200

   
   
   

   2. 4410

   
   
   

   3. 5600

   
   
   

   4. 6048

   
   
   

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1. View Hint View Answer Discuss in Forum

   Let the number of males = x
   ∴ Number of females= 9800 – x
   According to the question,
   

   x ×	108	+ (9800 - x) ×	105	= 10458
   	100		100

   
   ⇒ 108 x + 9800 × 105 – 105x = 1045800
   ⇒ 3x + 1029000 = 1045800
   ⇒ 3x = 1045800 – 1029000 = 16800
   

   ⇒ x =	16800	= 5600
   	3

   Correct Option: C

   Let the number of males = x
   ∴ Number of females= 9800 – x
   According to the question,
   

   x ×	108	+ (9800 - x) ×	105	= 10458
   	100		100

   
   ⇒ 108 x + 9800 × 105 – 105x = 1045800
   ⇒ 3x + 1029000 = 1045800
   ⇒ 3x = 1045800 – 1029000 = 16800
   

   ⇒ x =	16800	= 5600
   	3

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554. The population of a village has increased annually at the rate of 25%. If at the end of 3 years it is 10,000, the population in the beginning of the first year was

1. 1. 5120

   
   
   

   2. 5000

   
   
   

   3. 4900

   
   
   

   4. 4500

   
   
   

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1. View Hint View Answer Discuss in Forum

   Using Rule 17,
   Population in the beginning of the year
   

   =	Population after 3 years
   		1 +	Rate		Time
   			100

   
   

   =	10000
   		1 +	25		3
   			100

   
   

   =	10000
   			5		3
   			4

   
   

   =	10000 × 64	= 5120
   	125

   Correct Option: A

   Using Rule 17,
   Population in the beginning of the year
   

   =	Population after 3 years
   		1 +	Rate		Time
   			100

   
   

   =	10000
   		1 +	25		3
   			100

   
   

   =	10000
   			5		3
   			4

   
   

   =	10000 × 64	= 5120
   	125

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555. If population of women in a village is 90% of population of men, what is the population of men as a percentage of population of women ?

1. 1. 100%

   
   
   

   2. 105%

   
   
   

   3. 108%

   
   
   

   4. 111%

   
   
   

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1. View Hint View Answer Discuss in Forum

   If the number of men be 100, then
   Number of women = 90
   ∴ Required per cent
   

   =	100	× 100 ≈ 111%
   	90

   Correct Option: D

   If the number of men be 100, then
   Number of women = 90
   ∴ Required per cent
   

   =	100	× 100 ≈ 111%
   	90

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