501. The population of a town 2 years ago was 62,500. Due to migration to big cities, it decreases every year at the rate of 4%. The present population of the town is:

1. 1. 57,600

   
   
   

   2. 56,700

   
   
   

   3. 76,000

   
   
   

   4. 75,000

   
   
   

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1. View Hint View Answer Discuss in Forum

   Using Rule 18,
   Let the present population be P
   

   ∴ P = 62500		1 -	4		2
   			100

   
   

   = 62500 ×	24	×	24	= 57600
   	25		25

   Correct Option: A

   Using Rule 18,
   Let the present population be P
   

   ∴ P = 62500		1 -	4		2
   			100

   
   

   = 62500 ×	24	×	24	= 57600
   	25		25

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502. The population of a town increases every year by 4%. If its present population is 50,000, then after 2 years it will be

1. 1. 53,900

   
   
   

   2. 54,000

   
   
   

   3. 54,080

   
   
   

   4. 54,900

   
   
   

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1. View Hint View Answer Discuss in Forum

   Using Rule 17,
   Required population
   

   = 50000		1 +	4		2
   			100

   
   

   = 50000 ×	26	×	26	= 54080
   	25		25

   Correct Option: C

   Using Rule 17,
   Required population
   

   = 50000		1 +	4		2
   			100

   
   

   = 50000 ×	26	×	26	= 54080
   	25		25

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503. At an election there were two candidates. A candidate got 38% of votes and lost by 7200 number of votes. The total number of valid votes were

1. 1. 13000

   
   
   

   2. 13800

   
   
   

   3. 16200

   
   
   

   4. 30000

   
   
   

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1. View Hint View Answer Discuss in Forum

   Number of valid votes = x (let)
   ∴ (62 – 38)% of x = 7200
   

   ⇒ x ×	24	= 7200
   	100

   
   

   ⇒ x =	7200 × 100	= 30000
   	24

   
   Aliter : Using Rule 26,
   Total number of votes
   

   =	50 × 7200	= 50 × 600 = 30000
   	50 - 38

   Correct Option: D

   Number of valid votes = x (let)
   ∴ (62 – 38)% of x = 7200
   

   ⇒ x ×	24	= 7200
   	100

   
   

   ⇒ x =	7200 × 100	= 30000
   	24

   
   Aliter : Using Rule 26,
   Total number of votes
   

   =	50 × 7200	= 50 × 600 = 30000
   	50 - 38

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504. Present population of a village is 67600. It has been increasing annually at the rate of 4%. What was the population of the village two years ago ?

1. 1. 62500

   
   
   

   2. 63000

   
   
   

   3. 64756

   
   
   

   4. 65200

   
   
   

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1. View Hint View Answer Discuss in Forum

   Using Rule 17,
   Population of the village two years ago
   

   =	P
   		1 +	R		2
   			100

   
   

   =	67600
   		1 +	4		2
   			100

   
   

   =	67600 × 25 × 25	= 62500
   	26 × 26

   Correct Option: A

   Using Rule 17,
   Population of the village two years ago
   

   =	P
   		1 +	R		2
   			100

   
   

   =	67600
   		1 +	4		2
   			100

   
   

   =	67600 × 25 × 25	= 62500
   	26 × 26

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505. The value of a machine depreciates by 5% every year. If its present value is ₹ 2,00,000, its value after 2 years will be

1. 1. ₹ 1,80,500

   
   
   

   2. ₹ 1,99,000

   
   
   

   3. ₹ 1,80,000

   
   
   

   4. ₹ 2,10,000

   
   
   

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1. View Hint View Answer Discuss in Forum

   Using Rule 18,
   

   A = P		1 -	R		T
   			100

   
   

   = 200000		1 -	5		2
   			100

   
   

   = 200000 ×	19	×	19	= ₹ 180500
   	20		20

   Correct Option: A

   Using Rule 18,
   

   A = P		1 -	R		T
   			100

   
   

   = 200000		1 -	5		2
   			100

   
   

   = 200000 ×	19	×	19	= ₹ 180500
   	20		20

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