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 48498,what will be the population after 2 years


Answer:_______________




2)  

 The population of a village increases at the rate of 4% every year. If the present population is 40561,what will be the population after 3 years


Answer:_______________




3)  

 The population of a village increases at the rate of 4% every year. If the present population is 42549,what will be the population after 2 years


Answer:_______________




4)  

 The population of a village increases at the rate of 6% every year. If the present population is 35621,what will be the population after 3 years


Answer:_______________




5)  

 The population of a village increases at the rate of 5% every year. If the present population is 27275,what will be the population after 2 years


Answer:_______________




6)  

 The population of a village increases at the rate of 4% every year. If the present population is 14981,what will be the population after 3 years


Answer:_______________




7)  

 The population of a village increases at the rate of 5% every year. If the present population is 46752,what will be the population after 3 years


Answer:_______________




8)  

 The population of a village increases at the rate of 5% every year. If the present population is 42483,what will be the population after 4 years


Answer:_______________




9)  

 The population of a village increases at the rate of 2% every year. If the present population is 44055,what will be the population after 4 years


Answer:_______________




10)  

 The population of a village increases at the rate of 4% every year. If the present population is 18155,what will be the population after 3 years


Answer:_______________




 

1)  

 The population of a village increases at the rate of 6% every year. If the present population is 48498,what will be the population after 2 years

Answer: 54492


SOLUTION 1 :

Given  :

Present population P  =  48498

Rate of increase r       =   6%

Number of years n     =   2 years

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

                                               =  48498[1+(6÷100)]2

                                               =  48498[1+0.06]2

                                               =  48498(1.06)2

                                               = 48498 x 1.1236

                                               = 54492



2)  

 The population of a village increases at the rate of 4% every year. If the present population is 40561,what will be the population after 3 years

Answer: 45626


SOLUTION 1 :

Given  :

Present population P  =  40561

Rate of increase r       =   4%

Number of years n     =   3 years

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

                                               =  40561[1+(4÷100)]3

                                               =  40561[1+0.04]3

                                               =  40561(1.04)3

                                               = 40561 x 1.124864

                                               = 45626



3)  

 The population of a village increases at the rate of 4% every year. If the present population is 42549,what will be the population after 2 years

Answer: 46021


SOLUTION 1 :

Given  :

Present population P  =  42549

Rate of increase r       =   4%

Number of years n     =   2 years

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

                                               =  42549[1+(4÷100)]2

                                               =  42549[1+0.04]2

                                               =  42549(1.04)2

                                               = 42549 x 1.0816

                                               = 46021



4)  

 The population of a village increases at the rate of 6% every year. If the present population is 35621,what will be the population after 3 years

Answer: 42425


SOLUTION 1 :

Given  :

Present population P  =  35621

Rate of increase r       =   6%

Number of years n     =   3 years

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

                                               =  35621[1+(6÷100)]3

                                               =  35621[1+0.06]3

                                               =  35621(1.06)3

                                               = 35621 x 1.191016

                                               = 42425



5)  

 The population of a village increases at the rate of 5% every year. If the present population is 27275,what will be the population after 2 years

Answer: 30071


SOLUTION 1 :

Given  :

Present population P  =  27275

Rate of increase r       =   5%

Number of years n     =   2 years

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

                                               =  27275[1+(5÷100)]2

                                               =  27275[1+0.05]2

                                               =  27275(1.05)2

                                               = 27275 x 1.1025

                                               = 30071



6)  

 The population of a village increases at the rate of 4% every year. If the present population is 14981,what will be the population after 3 years

Answer: 16852


SOLUTION 1 :

Given  :

Present population P  =  14981

Rate of increase r       =   4%

Number of years n     =   3 years

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

                                               =  14981[1+(4÷100)]3

                                               =  14981[1+0.04]3

                                               =  14981(1.04)3

                                               = 14981 x 1.124864

                                               = 16852



7)  

 The population of a village increases at the rate of 5% every year. If the present population is 46752,what will be the population after 3 years

Answer: 54121


SOLUTION 1 :

Given  :

Present population P  =  46752

Rate of increase r       =   5%

Number of years n     =   3 years

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

                                               =  46752[1+(5÷100)]3

                                               =  46752[1+0.05]3

                                               =  46752(1.05)3

                                               = 46752 x 1.157625

                                               = 54121



8)  

 The population of a village increases at the rate of 5% every year. If the present population is 42483,what will be the population after 4 years

Answer: 51638


SOLUTION 1 :

Given  :

Present population P  =  42483

Rate of increase r       =   5%

Number of years n     =   4 years

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

                                               =  42483[1+(5÷100)]4

                                               =  42483[1+0.05]4

                                               =  42483(1.05)4

                                               = 42483 x 1.21550625

                                               = 51638



9)  

 The population of a village increases at the rate of 2% every year. If the present population is 44055,what will be the population after 4 years

Answer: 47687


SOLUTION 1 :

Given  :

Present population P  =  44055

Rate of increase r       =   2%

Number of years n     =   4 years

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

                                               =  44055[1+(2÷100)]4

                                               =  44055[1+0.02]4

                                               =  44055(1.02)4

                                               = 44055 x 1.08243216

                                               = 47687



10)  

 The population of a village increases at the rate of 4% every year. If the present population is 18155,what will be the population after 3 years

Answer: 20422


SOLUTION 1 :

Given  :

Present population P  =  18155

Rate of increase r       =   4%

Number of years n     =   3 years

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

                                               =  18155[1+(4÷100)]3

                                               =  18155[1+0.04]3

                                               =  18155(1.04)3

                                               = 18155 x 1.124864

                                               = 20422