Scroll:Life mathematics >> profit and loss >> saq (4273)


Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.



 

1)  

 The population of a village increases at the rate of 6% every year. If the present population is 20460,what will be the population after 3 years


Answer:_______________




2)  

 The population of a village increases at the rate of 4% every year. If the present population is 40791,what will be the population after 2 years


Answer:_______________




3)  

 The population of a village increases at the rate of 3% every year. If the present population is 44265,what will be the population after 2 years


Answer:_______________




4)  

 The population of a village increases at the rate of 5% every year. If the present population is 35036,what will be the population after 4 years


Answer:_______________




5)  

 The population of a village increases at the rate of 3% every year. If the present population is 31458,what will be the population after 4 years


Answer:_______________




6)  

 The population of a village increases at the rate of 4% every year. If the present population is 40232,what will be the population after 4 years


Answer:_______________




7)  

 The population of a village increases at the rate of 4% every year. If the present population is 32409,what will be the population after 3 years


Answer:_______________




8)  

 The population of a village increases at the rate of 3% every year. If the present population is 37089,what will be the population after 2 years


Answer:_______________




9)  

 The population of a village increases at the rate of 2% every year. If the present population is 24635,what will be the population after 4 years


Answer:_______________




10)  

 The population of a village increases at the rate of 3% every year. If the present population is 44534,what will be the population after 4 years


Answer:_______________




 

1)  

 The population of a village increases at the rate of 6% every year. If the present population is 20460,what will be the population after 3 years

Answer: 24368


SOLUTION 1 :

Given  :

Present population P  =  20460

Rate of increase r       =   6%

Number of years n     =   3 years

The population after n years  =   P[1+(r÷100)]n

                                               =  20460[1+(6÷100)]3

                                               =  20460[1+0.06]3

                                               =  20460(1.06)3

                                               = 20460 x 1.191016

                                               = 24368



2)  

 The population of a village increases at the rate of 4% every year. If the present population is 40791,what will be the population after 2 years

Answer: 44120


SOLUTION 1 :

Given  :

Present population P  =  40791

Rate of increase r       =   4%

Number of years n     =   2 years

The population after n years  =   P[1+(r÷100)]n

                                               =  40791[1+(4÷100)]2

                                               =  40791[1+0.04]2

                                               =  40791(1.04)2

                                               = 40791 x 1.0816

                                               = 44120



3)  

 The population of a village increases at the rate of 3% every year. If the present population is 44265,what will be the population after 2 years

Answer: 46961


SOLUTION 1 :

Given  :

Present population P  =  44265

Rate of increase r       =   3%

Number of years n     =   2 years

The population after n years  =   P[1+(r÷100)]n

                                               =  44265[1+(3÷100)]2

                                               =  44265[1+0.03]2

                                               =  44265(1.03)2

                                               = 44265 x 1.0609

                                               = 46961



4)  

 The population of a village increases at the rate of 5% every year. If the present population is 35036,what will be the population after 4 years

Answer: 42586


SOLUTION 1 :

Given  :

Present population P  =  35036

Rate of increase r       =   5%

Number of years n     =   4 years

The population after n years  =   P[1+(r÷100)]n

                                               =  35036[1+(5÷100)]4

                                               =  35036[1+0.05]4

                                               =  35036(1.05)4

                                               = 35036 x 1.21550625

                                               = 42586



5)  

 The population of a village increases at the rate of 3% every year. If the present population is 31458,what will be the population after 4 years

Answer: 35406


SOLUTION 1 :

Given  :

Present population P  =  31458

Rate of increase r       =   3%

Number of years n     =   4 years

The population after n years  =   P[1+(r÷100)]n

                                               =  31458[1+(3÷100)]4

                                               =  31458[1+0.03]4

                                               =  31458(1.03)4

                                               = 31458 x 1.12550881

                                               = 35406



6)  

 The population of a village increases at the rate of 4% every year. If the present population is 40232,what will be the population after 4 years

Answer: 47066


SOLUTION 1 :

Given  :

Present population P  =  40232

Rate of increase r       =   4%

Number of years n     =   4 years

The population after n years  =   P[1+(r÷100)]n

                                               =  40232[1+(4÷100)]4

                                               =  40232[1+0.04]4

                                               =  40232(1.04)4

                                               = 40232 x 1.16985856

                                               = 47066



7)  

 The population of a village increases at the rate of 4% every year. If the present population is 32409,what will be the population after 3 years

Answer: 36456


SOLUTION 1 :

Given  :

Present population P  =  32409

Rate of increase r       =   4%

Number of years n     =   3 years

The population after n years  =   P[1+(r÷100)]n

                                               =  32409[1+(4÷100)]3

                                               =  32409[1+0.04]3

                                               =  32409(1.04)3

                                               = 32409 x 1.124864

                                               = 36456



8)  

 The population of a village increases at the rate of 3% every year. If the present population is 37089,what will be the population after 2 years

Answer: 39348


SOLUTION 1 :

Given  :

Present population P  =  37089

Rate of increase r       =   3%

Number of years n     =   2 years

The population after n years  =   P[1+(r÷100)]n

                                               =  37089[1+(3÷100)]2

                                               =  37089[1+0.03]2

                                               =  37089(1.03)2

                                               = 37089 x 1.0609

                                               = 39348



9)  

 The population of a village increases at the rate of 2% every year. If the present population is 24635,what will be the population after 4 years

Answer: 26666


SOLUTION 1 :

Given  :

Present population P  =  24635

Rate of increase r       =   2%

Number of years n     =   4 years

The population after n years  =   P[1+(r÷100)]n

                                               =  24635[1+(2÷100)]4

                                               =  24635[1+0.02]4

                                               =  24635(1.02)4

                                               = 24635 x 1.08243216

                                               = 26666



10)  

 The population of a village increases at the rate of 3% every year. If the present population is 44534,what will be the population after 4 years

Answer: 50123


SOLUTION 1 :

Given  :

Present population P  =  44534

Rate of increase r       =   3%

Number of years n     =   4 years

The population after n years  =   P[1+(r÷100)]n

                                               =  44534[1+(3÷100)]4

                                               =  44534[1+0.03]4

                                               =  44534(1.03)4

                                               = 44534 x 1.12550881

                                               = 50123