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 4% every year. If the present population is 48476,what will be the population after 3 years


Answer:_______________




2)  

 The population of a village increases at the rate of 7% every year. If the present population is 35156,what will be the population after 4 years


Answer:_______________




3)  

 The population of a village increases at the rate of 2% every year. If the present population is 33705,what will be the population after 4 years


Answer:_______________




4)  

 The population of a village increases at the rate of 2% every year. If the present population is 13804,what will be the population after 2 years


Answer:_______________




5)  

 The population of a village increases at the rate of 6% every year. If the present population is 21480,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 27180,what will be the population after 4 years


Answer:_______________




7)  

 The population of a village increases at the rate of 6% every year. If the present population is 42239,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 15592,what will be the population after 2 years


Answer:_______________




9)  

 The population of a village increases at the rate of 3% every year. If the present population is 17200,what will be the population after 2 years


Answer:_______________




10)  

 The population of a village increases at the rate of 7% every year. If the present population is 38898,what will be the population after 4 years


Answer:_______________




 

1)  

 The population of a village increases at the rate of 4% every year. If the present population is 48476,what will be the population after 3 years

Answer: 54529


SOLUTION 1 :

Given  :

Present population P  =  48476

Rate of increase r       =   4%

Number of years n     =   3 years

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

                                               =  48476[1+(4÷100)]3

                                               =  48476[1+0.04]3

                                               =  48476(1.04)3

                                               = 48476 x 1.124864

                                               = 54529



2)  

 The population of a village increases at the rate of 7% every year. If the present population is 35156,what will be the population after 4 years

Answer: 46082


SOLUTION 1 :

Given  :

Present population P  =  35156

Rate of increase r       =   7%

Number of years n     =   4 years

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

                                               =  35156[1+(7÷100)]4

                                               =  35156[1+0.07]4

                                               =  35156(1.07)4

                                               = 35156 x 1.31079601

                                               = 46082



3)  

 The population of a village increases at the rate of 2% every year. If the present population is 33705,what will be the population after 4 years

Answer: 36483


SOLUTION 1 :

Given  :

Present population P  =  33705

Rate of increase r       =   2%

Number of years n     =   4 years

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

                                               =  33705[1+(2÷100)]4

                                               =  33705[1+0.02]4

                                               =  33705(1.02)4

                                               = 33705 x 1.08243216

                                               = 36483



4)  

 The population of a village increases at the rate of 2% every year. If the present population is 13804,what will be the population after 2 years

Answer: 14362


SOLUTION 1 :

Given  :

Present population P  =  13804

Rate of increase r       =   2%

Number of years n     =   2 years

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

                                               =  13804[1+(2÷100)]2

                                               =  13804[1+0.02]2

                                               =  13804(1.02)2

                                               = 13804 x 1.0404

                                               = 14362



5)  

 The population of a village increases at the rate of 6% every year. If the present population is 21480,what will be the population after 4 years

Answer: 27118


SOLUTION 1 :

Given  :

Present population P  =  21480

Rate of increase r       =   6%

Number of years n     =   4 years

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

                                               =  21480[1+(6÷100)]4

                                               =  21480[1+0.06]4

                                               =  21480(1.06)4

                                               = 21480 x 1.26247696

                                               = 27118



6)  

 The population of a village increases at the rate of 4% every year. If the present population is 27180,what will be the population after 4 years

Answer: 31797


SOLUTION 1 :

Given  :

Present population P  =  27180

Rate of increase r       =   4%

Number of years n     =   4 years

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

                                               =  27180[1+(4÷100)]4

                                               =  27180[1+0.04]4

                                               =  27180(1.04)4

                                               = 27180 x 1.16985856

                                               = 31797



7)  

 The population of a village increases at the rate of 6% every year. If the present population is 42239,what will be the population after 3 years

Answer: 50307


SOLUTION 1 :

Given  :

Present population P  =  42239

Rate of increase r       =   6%

Number of years n     =   3 years

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

                                               =  42239[1+(6÷100)]3

                                               =  42239[1+0.06]3

                                               =  42239(1.06)3

                                               = 42239 x 1.191016

                                               = 50307



8)  

 The population of a village increases at the rate of 3% every year. If the present population is 15592,what will be the population after 2 years

Answer: 16542


SOLUTION 1 :

Given  :

Present population P  =  15592

Rate of increase r       =   3%

Number of years n     =   2 years

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

                                               =  15592[1+(3÷100)]2

                                               =  15592[1+0.03]2

                                               =  15592(1.03)2

                                               = 15592 x 1.0609

                                               = 16542



9)  

 The population of a village increases at the rate of 3% every year. If the present population is 17200,what will be the population after 2 years

Answer: 18247


SOLUTION 1 :

Given  :

Present population P  =  17200

Rate of increase r       =   3%

Number of years n     =   2 years

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

                                               =  17200[1+(3÷100)]2

                                               =  17200[1+0.03]2

                                               =  17200(1.03)2

                                               = 17200 x 1.0609

                                               = 18247



10)  

 The population of a village increases at the rate of 7% every year. If the present population is 38898,what will be the population after 4 years

Answer: 50987


SOLUTION 1 :

Given  :

Present population P  =  38898

Rate of increase r       =   7%

Number of years n     =   4 years

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

                                               =  38898[1+(7÷100)]4

                                               =  38898[1+0.07]4

                                               =  38898(1.07)4

                                               = 38898 x 1.31079601

                                               = 50987