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 11914,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 42288,what will be the population after 3 years


Answer:_______________




3)  

 The population of a village increases at the rate of 5% every year. If the present population is 45114,what will be the population after 4 years


Answer:_______________




4)  

 The population of a village increases at the rate of 5% every year. If the present population is 35383,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 49344,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 25081,what will be the population after 3 years


Answer:_______________




7)  

 The population of a village increases at the rate of 3% every year. If the present population is 18873,what will be the population after 2 years


Answer:_______________




8)  

 The population of a village increases at the rate of 2% every year. If the present population is 24000,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 23536,what will be the population after 2 years


Answer:_______________




10)  

 The population of a village increases at the rate of 5% every year. If the present population is 18368,what will be the population after 2 years


Answer:_______________




 

1)  

 The population of a village increases at the rate of 4% every year. If the present population is 11914,what will be the population after 2 years

Answer: 12886


SOLUTION 1 :

Given  :

Present population P  =  11914

Rate of increase r       =   4%

Number of years n     =   2 years

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

                                               =  11914[1+(4÷100)]2

                                               =  11914[1+0.04]2

                                               =  11914(1.04)2

                                               = 11914 x 1.0816

                                               = 12886



2)  

 The population of a village increases at the rate of 2% every year. If the present population is 42288,what will be the population after 3 years

Answer: 44876


SOLUTION 1 :

Given  :

Present population P  =  42288

Rate of increase r       =   2%

Number of years n     =   3 years

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

                                               =  42288[1+(2÷100)]3

                                               =  42288[1+0.02]3

                                               =  42288(1.02)3

                                               = 42288 x 1.061208

                                               = 44876



3)  

 The population of a village increases at the rate of 5% every year. If the present population is 45114,what will be the population after 4 years

Answer: 54836


SOLUTION 1 :

Given  :

Present population P  =  45114

Rate of increase r       =   5%

Number of years n     =   4 years

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

                                               =  45114[1+(5÷100)]4

                                               =  45114[1+0.05]4

                                               =  45114(1.05)4

                                               = 45114 x 1.21550625

                                               = 54836



4)  

 The population of a village increases at the rate of 5% every year. If the present population is 35383,what will be the population after 3 years

Answer: 40960


SOLUTION 1 :

Given  :

Present population P  =  35383

Rate of increase r       =   5%

Number of years n     =   3 years

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

                                               =  35383[1+(5÷100)]3

                                               =  35383[1+0.05]3

                                               =  35383(1.05)3

                                               = 35383 x 1.157625

                                               = 40960



5)  

 The population of a village increases at the rate of 7% every year. If the present population is 49344,what will be the population after 4 years

Answer: 64680


SOLUTION 1 :

Given  :

Present population P  =  49344

Rate of increase r       =   7%

Number of years n     =   4 years

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

                                               =  49344[1+(7÷100)]4

                                               =  49344[1+0.07]4

                                               =  49344(1.07)4

                                               = 49344 x 1.31079601

                                               = 64680



6)  

 The population of a village increases at the rate of 3% every year. If the present population is 25081,what will be the population after 3 years

Answer: 27407


SOLUTION 1 :

Given  :

Present population P  =  25081

Rate of increase r       =   3%

Number of years n     =   3 years

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

                                               =  25081[1+(3÷100)]3

                                               =  25081[1+0.03]3

                                               =  25081(1.03)3

                                               = 25081 x 1.092727

                                               = 27407



7)  

 The population of a village increases at the rate of 3% every year. If the present population is 18873,what will be the population after 2 years

Answer: 20022


SOLUTION 1 :

Given  :

Present population P  =  18873

Rate of increase r       =   3%

Number of years n     =   2 years

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

                                               =  18873[1+(3÷100)]2

                                               =  18873[1+0.03]2

                                               =  18873(1.03)2

                                               = 18873 x 1.0609

                                               = 20022



8)  

 The population of a village increases at the rate of 2% every year. If the present population is 24000,what will be the population after 2 years

Answer: 24970


SOLUTION 1 :

Given  :

Present population P  =  24000

Rate of increase r       =   2%

Number of years n     =   2 years

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

                                               =  24000[1+(2÷100)]2

                                               =  24000[1+0.02]2

                                               =  24000(1.02)2

                                               = 24000 x 1.0404

                                               = 24970



9)  

 The population of a village increases at the rate of 2% every year. If the present population is 23536,what will be the population after 2 years

Answer: 24487


SOLUTION 1 :

Given  :

Present population P  =  23536

Rate of increase r       =   2%

Number of years n     =   2 years

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

                                               =  23536[1+(2÷100)]2

                                               =  23536[1+0.02]2

                                               =  23536(1.02)2

                                               = 23536 x 1.0404

                                               = 24487



10)  

 The population of a village increases at the rate of 5% every year. If the present population is 18368,what will be the population after 2 years

Answer: 20251


SOLUTION 1 :

Given  :

Present population P  =  18368

Rate of increase r       =   5%

Number of years n     =   2 years

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

                                               =  18368[1+(5÷100)]2

                                               =  18368[1+0.05]2

                                               =  18368(1.05)2

                                               = 18368 x 1.1025

                                               = 20251