Scroll:Life mathematics >> profit and loss >> saq (4291)


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 number of students entrolled in a school is 1650. If the entrollement increases by 5 % every year , how many students will be there after 3 years


Answer:_______________




2)  

 The number of students entrolled in a school is 1296. If the entrollement increases by 4 % every year , how many students will be there after 2 years


Answer:_______________




3)  

 The number of students entrolled in a school is 2571. If the entrollement increases by 2 % every year , how many students will be there after 4 years


Answer:_______________




4)  

 The number of students entrolled in a school is 1839. If the entrollement increases by 3 % every year , how many students will be there after 4 years


Answer:_______________




5)  

 The number of students entrolled in a school is 1359. If the entrollement increases by 4 % every year , how many students will be there after 3 years


Answer:_______________




6)  

 The number of students entrolled in a school is 2920. If the entrollement increases by 4 % every year , how many students will be there after 3 years


Answer:_______________




7)  

 The number of students entrolled in a school is 2340. If the entrollement increases by 4 % every year , how many students will be there after 2 years


Answer:_______________




8)  

 The number of students entrolled in a school is 1859. If the entrollement increases by 5 % every year , how many students will be there after 2 years


Answer:_______________




9)  

 The number of students entrolled in a school is 2064. If the entrollement increases by 5 % every year , how many students will be there after 3 years


Answer:_______________




10)  

 The number of students entrolled in a school is 2096. If the entrollement increases by 5 % every year , how many students will be there after 4 years


Answer:_______________




 

1)  

 The number of students entrolled in a school is 1650. If the entrollement increases by 5 % every year , how many students will be there after 3 years

Answer: 1910


SOLUTION 1 :

Given:

P    =   1650

n     =3 years

 r     = 5%

Appreciation :

                  A  = P[1+(r÷100)]n

                       = 1650[1+(5÷100)]{n1}

                       =1650[1+0.05]3

                       =  1650(1.05)3

                       =  1650 x 1.157625

                       = 1910

                        

 



2)  

 The number of students entrolled in a school is 1296. If the entrollement increases by 4 % every year , how many students will be there after 2 years

Answer: 1402


SOLUTION 1 :

Given:

P    =   1296

n     =2 years

 r     = 4%

Appreciation :

                  A  = P[1+(r÷100)]n

                       = 1296[1+(4÷100)]{n1}

                       =1296[1+0.04]2

                       =  1296(1.04)2

                       =  1296 x 1.0816

                       = 1402

                        

 



3)  

 The number of students entrolled in a school is 2571. If the entrollement increases by 2 % every year , how many students will be there after 4 years

Answer: 2783


SOLUTION 1 :

Given:

P    =   2571

n     =4 years

 r     = 2%

Appreciation :

                  A  = P[1+(r÷100)]n

                       = 2571[1+(2÷100)]{n1}

                       =2571[1+0.02]4

                       =  2571(1.02)4

                       =  2571 x 1.08243216

                       = 2783

                        

 



4)  

 The number of students entrolled in a school is 1839. If the entrollement increases by 3 % every year , how many students will be there after 4 years

Answer: 2070


SOLUTION 1 :

Given:

P    =   1839

n     =4 years

 r     = 3%

Appreciation :

                  A  = P[1+(r÷100)]n

                       = 1839[1+(3÷100)]{n1}

                       =1839[1+0.03]4

                       =  1839(1.03)4

                       =  1839 x 1.12550881

                       = 2070

                        

 



5)  

 The number of students entrolled in a school is 1359. If the entrollement increases by 4 % every year , how many students will be there after 3 years

Answer: 1529


SOLUTION 1 :

Given:

P    =   1359

n     =3 years

 r     = 4%

Appreciation :

                  A  = P[1+(r÷100)]n

                       = 1359[1+(4÷100)]{n1}

                       =1359[1+0.04]3

                       =  1359(1.04)3

                       =  1359 x 1.124864

                       = 1529

                        

 



6)  

 The number of students entrolled in a school is 2920. If the entrollement increases by 4 % every year , how many students will be there after 3 years

Answer: 3285


SOLUTION 1 :

Given:

P    =   2920

n     =3 years

 r     = 4%

Appreciation :

                  A  = P[1+(r÷100)]n

                       = 2920[1+(4÷100)]{n1}

                       =2920[1+0.04]3

                       =  2920(1.04)3

                       =  2920 x 1.124864

                       = 3285

                        

 



7)  

 The number of students entrolled in a school is 2340. If the entrollement increases by 4 % every year , how many students will be there after 2 years

Answer: 2531


SOLUTION 1 :

Given:

P    =   2340

n     =2 years

 r     = 4%

Appreciation :

                  A  = P[1+(r÷100)]n

                       = 2340[1+(4÷100)]{n1}

                       =2340[1+0.04]2

                       =  2340(1.04)2

                       =  2340 x 1.0816

                       = 2531

                        

 



8)  

 The number of students entrolled in a school is 1859. If the entrollement increases by 5 % every year , how many students will be there after 2 years

Answer: 2050


SOLUTION 1 :

Given:

P    =   1859

n     =2 years

 r     = 5%

Appreciation :

                  A  = P[1+(r÷100)]n

                       = 1859[1+(5÷100)]{n1}

                       =1859[1+0.05]2

                       =  1859(1.05)2

                       =  1859 x 1.1025

                       = 2050

                        

 



9)  

 The number of students entrolled in a school is 2064. If the entrollement increases by 5 % every year , how many students will be there after 3 years

Answer: 2389


SOLUTION 1 :

Given:

P    =   2064

n     =3 years

 r     = 5%

Appreciation :

                  A  = P[1+(r÷100)]n

                       = 2064[1+(5÷100)]{n1}

                       =2064[1+0.05]3

                       =  2064(1.05)3

                       =  2064 x 1.157625

                       = 2389

                        

 



10)  

 The number of students entrolled in a school is 2096. If the entrollement increases by 5 % every year , how many students will be there after 4 years

Answer: 2548


SOLUTION 1 :

Given:

P    =   2096

n     =4 years

 r     = 5%

Appreciation :

                  A  = P[1+(r÷100)]n

                       = 2096[1+(5÷100)]{n1}

                       =2096[1+0.05]4

                       =  2096(1.05)4

                       =  2096 x 1.21550625

                       = 2548