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 3% every year. If the present population is 31241,what will be the population after 3 years


Answer:_______________




2)  

 The population of a village increases at the rate of 6% every year. If the present population is 14377,what will be the population after 4 years


Answer:_______________




3)  

 The population of a village increases at the rate of 3% every year. If the present population is 17656,what will be the population after 4 years


Answer:_______________




4)  

 The population of a village increases at the rate of 6% every year. If the present population is 49115,what will be the population after 4 years


Answer:_______________




5)  

 The population of a village increases at the rate of 4% every year. If the present population is 39762,what will be the population after 2 years


Answer:_______________




6)  

 The population of a village increases at the rate of 2% every year. If the present population is 31939,what will be the population after 2 years


Answer:_______________




7)  

 The population of a village increases at the rate of 4% every year. If the present population is 35219,what will be the population after 3 years


Answer:_______________




8)  

 The population of a village increases at the rate of 7% every year. If the present population is 42435,what will be the population after 2 years


Answer:_______________




9)  

 The population of a village increases at the rate of 4% every year. If the present population is 47350,what will be the population after 4 years


Answer:_______________




10)  

 The population of a village increases at the rate of 7% every year. If the present population is 13682,what will be the population after 4 years


Answer:_______________




 

1)  

 The population of a village increases at the rate of 3% every year. If the present population is 31241,what will be the population after 3 years

Answer: 34138


SOLUTION 1 :

Given  :

Present population P  =  31241

Rate of increase r       =   3%

Number of years n     =   3 years

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

                                               =  31241[1+(3÷100)]3

                                               =  31241[1+0.03]3

                                               =  31241(1.03)3

                                               = 31241 x 1.092727

                                               = 34138



2)  

 The population of a village increases at the rate of 6% every year. If the present population is 14377,what will be the population after 4 years

Answer: 18151


SOLUTION 1 :

Given  :

Present population P  =  14377

Rate of increase r       =   6%

Number of years n     =   4 years

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

                                               =  14377[1+(6÷100)]4

                                               =  14377[1+0.06]4

                                               =  14377(1.06)4

                                               = 14377 x 1.26247696

                                               = 18151



3)  

 The population of a village increases at the rate of 3% every year. If the present population is 17656,what will be the population after 4 years

Answer: 19872


SOLUTION 1 :

Given  :

Present population P  =  17656

Rate of increase r       =   3%

Number of years n     =   4 years

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

                                               =  17656[1+(3÷100)]4

                                               =  17656[1+0.03]4

                                               =  17656(1.03)4

                                               = 17656 x 1.12550881

                                               = 19872



4)  

 The population of a village increases at the rate of 6% every year. If the present population is 49115,what will be the population after 4 years

Answer: 62007


SOLUTION 1 :

Given  :

Present population P  =  49115

Rate of increase r       =   6%

Number of years n     =   4 years

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

                                               =  49115[1+(6÷100)]4

                                               =  49115[1+0.06]4

                                               =  49115(1.06)4

                                               = 49115 x 1.26247696

                                               = 62007



5)  

 The population of a village increases at the rate of 4% every year. If the present population is 39762,what will be the population after 2 years

Answer: 43007


SOLUTION 1 :

Given  :

Present population P  =  39762

Rate of increase r       =   4%

Number of years n     =   2 years

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

                                               =  39762[1+(4÷100)]2

                                               =  39762[1+0.04]2

                                               =  39762(1.04)2

                                               = 39762 x 1.0816

                                               = 43007



6)  

 The population of a village increases at the rate of 2% every year. If the present population is 31939,what will be the population after 2 years

Answer: 33229


SOLUTION 1 :

Given  :

Present population P  =  31939

Rate of increase r       =   2%

Number of years n     =   2 years

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

                                               =  31939[1+(2÷100)]2

                                               =  31939[1+0.02]2

                                               =  31939(1.02)2

                                               = 31939 x 1.0404

                                               = 33229



7)  

 The population of a village increases at the rate of 4% every year. If the present population is 35219,what will be the population after 3 years

Answer: 39617


SOLUTION 1 :

Given  :

Present population P  =  35219

Rate of increase r       =   4%

Number of years n     =   3 years

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

                                               =  35219[1+(4÷100)]3

                                               =  35219[1+0.04]3

                                               =  35219(1.04)3

                                               = 35219 x 1.124864

                                               = 39617



8)  

 The population of a village increases at the rate of 7% every year. If the present population is 42435,what will be the population after 2 years

Answer: 48584


SOLUTION 1 :

Given  :

Present population P  =  42435

Rate of increase r       =   7%

Number of years n     =   2 years

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

                                               =  42435[1+(7÷100)]2

                                               =  42435[1+0.07]2

                                               =  42435(1.07)2

                                               = 42435 x 1.1449

                                               = 48584



9)  

 The population of a village increases at the rate of 4% every year. If the present population is 47350,what will be the population after 4 years

Answer: 55393


SOLUTION 1 :

Given  :

Present population P  =  47350

Rate of increase r       =   4%

Number of years n     =   4 years

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

                                               =  47350[1+(4÷100)]4

                                               =  47350[1+0.04]4

                                               =  47350(1.04)4

                                               = 47350 x 1.16985856

                                               = 55393



10)  

 The population of a village increases at the rate of 7% every year. If the present population is 13682,what will be the population after 4 years

Answer: 17934


SOLUTION 1 :

Given  :

Present population P  =  13682

Rate of increase r       =   7%

Number of years n     =   4 years

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

                                               =  13682[1+(7÷100)]4

                                               =  13682[1+0.07]4

                                               =  13682(1.07)4

                                               = 13682 x 1.31079601

                                               = 17934