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 33970,what will be the population after 4 years


Answer:_______________




2)  

 The population of a village increases at the rate of 3% every year. If the present population is 43462,what will be the population after 3 years


Answer:_______________




3)  

 The population of a village increases at the rate of 7% every year. If the present population is 46301,what will be the population after 3 years


Answer:_______________




4)  

 The population of a village increases at the rate of 6% every year. If the present population is 24324,what will be the population after 3 years


Answer:_______________




5)  

 The population of a village increases at the rate of 3% every year. If the present population is 47141,what will be the population after 4 years


Answer:_______________




6)  

 The population of a village increases at the rate of 3% every year. If the present population is 19726,what will be the population after 4 years


Answer:_______________




7)  

 The population of a village increases at the rate of 5% every year. If the present population is 36029,what will be the population after 2 years


Answer:_______________




8)  

 The population of a village increases at the rate of 6% every year. If the present population is 17304,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 13722,what will be the population after 2 years


Answer:_______________




10)  

 The population of a village increases at the rate of 2% every year. If the present population is 31286,what will be the population after 3 years


Answer:_______________




 

1)  

 The population of a village increases at the rate of 4% every year. If the present population is 33970,what will be the population after 4 years

Answer: 39740


SOLUTION 1 :

Given  :

Present population P  =  33970

Rate of increase r       =   4%

Number of years n     =   4 years

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

                                               =  33970[1+(4÷100)]4

                                               =  33970[1+0.04]4

                                               =  33970(1.04)4

                                               = 33970 x 1.16985856

                                               = 39740



2)  

 The population of a village increases at the rate of 3% every year. If the present population is 43462,what will be the population after 3 years

Answer: 47492


SOLUTION 1 :

Given  :

Present population P  =  43462

Rate of increase r       =   3%

Number of years n     =   3 years

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

                                               =  43462[1+(3÷100)]3

                                               =  43462[1+0.03]3

                                               =  43462(1.03)3

                                               = 43462 x 1.092727

                                               = 47492



3)  

 The population of a village increases at the rate of 7% every year. If the present population is 46301,what will be the population after 3 years

Answer: 56721


SOLUTION 1 :

Given  :

Present population P  =  46301

Rate of increase r       =   7%

Number of years n     =   3 years

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

                                               =  46301[1+(7÷100)]3

                                               =  46301[1+0.07]3

                                               =  46301(1.07)3

                                               = 46301 x 1.225043

                                               = 56721



4)  

 The population of a village increases at the rate of 6% every year. If the present population is 24324,what will be the population after 3 years

Answer: 28970


SOLUTION 1 :

Given  :

Present population P  =  24324

Rate of increase r       =   6%

Number of years n     =   3 years

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

                                               =  24324[1+(6÷100)]3

                                               =  24324[1+0.06]3

                                               =  24324(1.06)3

                                               = 24324 x 1.191016

                                               = 28970



5)  

 The population of a village increases at the rate of 3% every year. If the present population is 47141,what will be the population after 4 years

Answer: 53058


SOLUTION 1 :

Given  :

Present population P  =  47141

Rate of increase r       =   3%

Number of years n     =   4 years

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

                                               =  47141[1+(3÷100)]4

                                               =  47141[1+0.03]4

                                               =  47141(1.03)4

                                               = 47141 x 1.12550881

                                               = 53058



6)  

 The population of a village increases at the rate of 3% every year. If the present population is 19726,what will be the population after 4 years

Answer: 22202


SOLUTION 1 :

Given  :

Present population P  =  19726

Rate of increase r       =   3%

Number of years n     =   4 years

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

                                               =  19726[1+(3÷100)]4

                                               =  19726[1+0.03]4

                                               =  19726(1.03)4

                                               = 19726 x 1.12550881

                                               = 22202



7)  

 The population of a village increases at the rate of 5% every year. If the present population is 36029,what will be the population after 2 years

Answer: 39722


SOLUTION 1 :

Given  :

Present population P  =  36029

Rate of increase r       =   5%

Number of years n     =   2 years

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

                                               =  36029[1+(5÷100)]2

                                               =  36029[1+0.05]2

                                               =  36029(1.05)2

                                               = 36029 x 1.1025

                                               = 39722



8)  

 The population of a village increases at the rate of 6% every year. If the present population is 17304,what will be the population after 2 years

Answer: 19443


SOLUTION 1 :

Given  :

Present population P  =  17304

Rate of increase r       =   6%

Number of years n     =   2 years

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

                                               =  17304[1+(6÷100)]2

                                               =  17304[1+0.06]2

                                               =  17304(1.06)2

                                               = 17304 x 1.1236

                                               = 19443



9)  

 The population of a village increases at the rate of 2% every year. If the present population is 13722,what will be the population after 2 years

Answer: 14276


SOLUTION 1 :

Given  :

Present population P  =  13722

Rate of increase r       =   2%

Number of years n     =   2 years

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

                                               =  13722[1+(2÷100)]2

                                               =  13722[1+0.02]2

                                               =  13722(1.02)2

                                               = 13722 x 1.0404

                                               = 14276



10)  

 The population of a village increases at the rate of 2% every year. If the present population is 31286,what will be the population after 3 years

Answer: 33201


SOLUTION 1 :

Given  :

Present population P  =  31286

Rate of increase r       =   2%

Number of years n     =   3 years

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

                                               =  31286[1+(2÷100)]3

                                               =  31286[1+0.02]3

                                               =  31286(1.02)3

                                               = 31286 x 1.061208

                                               = 33201