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 18084,what will be the population after 2 years


Answer:_______________




2)  

 The population of a village increases at the rate of 2% every year. If the present population is 14295,what will be the population after 3 years


Answer:_______________




3)  

 The population of a village increases at the rate of 3% every year. If the present population is 14885,what will be the population after 3 years


Answer:_______________




4)  

 The population of a village increases at the rate of 5% every year. If the present population is 10213,what will be the population after 3 years


Answer:_______________




5)  

 The population of a village increases at the rate of 7% every year. If the present population is 48414,what will be the population after 4 years


Answer:_______________




6)  

 The population of a village increases at the rate of 5% every year. If the present population is 11473,what will be the population after 2 years


Answer:_______________




7)  

 The population of a village increases at the rate of 2% every year. If the present population is 37835,what will be the population after 3 years


Answer:_______________




8)  

 The population of a village increases at the rate of 2% every year. If the present population is 32105,what will be the population after 2 years


Answer:_______________




9)  

 The population of a village increases at the rate of 7% every year. If the present population is 19373,what will be the population after 2 years


Answer:_______________




10)  

 The population of a village increases at the rate of 6% every year. If the present population is 24724,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 18084,what will be the population after 2 years

Answer: 20319


SOLUTION 1 :

Given  :

Present population P  =  18084

Rate of increase r       =   6%

Number of years n     =   2 years

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

                                               =  18084[1+(6÷100)]2

                                               =  18084[1+0.06]2

                                               =  18084(1.06)2

                                               = 18084 x 1.1236

                                               = 20319



2)  

 The population of a village increases at the rate of 2% every year. If the present population is 14295,what will be the population after 3 years

Answer: 15170


SOLUTION 1 :

Given  :

Present population P  =  14295

Rate of increase r       =   2%

Number of years n     =   3 years

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

                                               =  14295[1+(2÷100)]3

                                               =  14295[1+0.02]3

                                               =  14295(1.02)3

                                               = 14295 x 1.061208

                                               = 15170



3)  

 The population of a village increases at the rate of 3% every year. If the present population is 14885,what will be the population after 3 years

Answer: 16265


SOLUTION 1 :

Given  :

Present population P  =  14885

Rate of increase r       =   3%

Number of years n     =   3 years

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

                                               =  14885[1+(3÷100)]3

                                               =  14885[1+0.03]3

                                               =  14885(1.03)3

                                               = 14885 x 1.092727

                                               = 16265



4)  

 The population of a village increases at the rate of 5% every year. If the present population is 10213,what will be the population after 3 years

Answer: 11823


SOLUTION 1 :

Given  :

Present population P  =  10213

Rate of increase r       =   5%

Number of years n     =   3 years

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

                                               =  10213[1+(5÷100)]3

                                               =  10213[1+0.05]3

                                               =  10213(1.05)3

                                               = 10213 x 1.157625

                                               = 11823



5)  

 The population of a village increases at the rate of 7% every year. If the present population is 48414,what will be the population after 4 years

Answer: 63461


SOLUTION 1 :

Given  :

Present population P  =  48414

Rate of increase r       =   7%

Number of years n     =   4 years

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

                                               =  48414[1+(7÷100)]4

                                               =  48414[1+0.07]4

                                               =  48414(1.07)4

                                               = 48414 x 1.31079601

                                               = 63461



6)  

 The population of a village increases at the rate of 5% every year. If the present population is 11473,what will be the population after 2 years

Answer: 12649


SOLUTION 1 :

Given  :

Present population P  =  11473

Rate of increase r       =   5%

Number of years n     =   2 years

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

                                               =  11473[1+(5÷100)]2

                                               =  11473[1+0.05]2

                                               =  11473(1.05)2

                                               = 11473 x 1.1025

                                               = 12649



7)  

 The population of a village increases at the rate of 2% every year. If the present population is 37835,what will be the population after 3 years

Answer: 40151


SOLUTION 1 :

Given  :

Present population P  =  37835

Rate of increase r       =   2%

Number of years n     =   3 years

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

                                               =  37835[1+(2÷100)]3

                                               =  37835[1+0.02]3

                                               =  37835(1.02)3

                                               = 37835 x 1.061208

                                               = 40151



8)  

 The population of a village increases at the rate of 2% every year. If the present population is 32105,what will be the population after 2 years

Answer: 33402


SOLUTION 1 :

Given  :

Present population P  =  32105

Rate of increase r       =   2%

Number of years n     =   2 years

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

                                               =  32105[1+(2÷100)]2

                                               =  32105[1+0.02]2

                                               =  32105(1.02)2

                                               = 32105 x 1.0404

                                               = 33402



9)  

 The population of a village increases at the rate of 7% every year. If the present population is 19373,what will be the population after 2 years

Answer: 22180


SOLUTION 1 :

Given  :

Present population P  =  19373

Rate of increase r       =   7%

Number of years n     =   2 years

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

                                               =  19373[1+(7÷100)]2

                                               =  19373[1+0.07]2

                                               =  19373(1.07)2

                                               = 19373 x 1.1449

                                               = 22180



10)  

 The population of a village increases at the rate of 6% every year. If the present population is 24724,what will be the population after 4 years

Answer: 31213


SOLUTION 1 :

Given  :

Present population P  =  24724

Rate of increase r       =   6%

Number of years n     =   4 years

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

                                               =  24724[1+(6÷100)]4

                                               =  24724[1+0.06]4

                                               =  24724(1.06)4

                                               = 24724 x 1.26247696

                                               = 31213