Scroll:Life mathematics >> profit and loss >> saq (4292)


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 present value of an oil engine is 37221. What was the worth of the engine 3 before if the value depreciates at the rate of 7% every year.


Answer:_______________




2)  

 The present value of an oil engine is 35400. What was the worth of the engine 2 before if the value depreciates at the rate of 6% every year.


Answer:_______________




3)  

 The present value of an oil engine is 18844. What was the worth of the engine 4 before if the value depreciates at the rate of 4% every year.


Answer:_______________




4)  

 The present value of an oil engine is 40455. What was the worth of the engine 5 before if the value depreciates at the rate of 8% every year.


Answer:_______________




5)  

 The present value of an oil engine is 39466. What was the worth of the engine 5 before if the value depreciates at the rate of 9% every year.


Answer:_______________




6)  

 The present value of an oil engine is 18179. What was the worth of the engine 3 before if the value depreciates at the rate of 6% every year.


Answer:_______________




7)  

 The present value of an oil engine is 35141. What was the worth of the engine 2 before if the value depreciates at the rate of 3% every year.


Answer:_______________




8)  

 The present value of an oil engine is 13591. What was the worth of the engine 5 before if the value depreciates at the rate of 3% every year.


Answer:_______________




9)  

 The present value of an oil engine is 20252. What was the worth of the engine 2 before if the value depreciates at the rate of 2% every year.


Answer:_______________




10)  

 The present value of an oil engine is 41495. What was the worth of the engine 5 before if the value depreciates at the rate of 4% every year.


Answer:_______________




 

1)  

 The present value of an oil engine is 37221. What was the worth of the engine 3 before if the value depreciates at the rate of 7% every year.

Answer: 29939


SOLUTION 1 :

Given :

    A             =   37221

    r              =  7%

    n             =   3 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   37221[1-(7÷100)]3

                 =   37221[1-0.07]3

                 =    37221 x (0.93)3

                 =   37221 x 0.804357

                 =   29939

 



2)  

 The present value of an oil engine is 35400. What was the worth of the engine 2 before if the value depreciates at the rate of 6% every year.

Answer: 31279


SOLUTION 1 :

Given :

    A             =   35400

    r              =  6%

    n             =   2 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   35400[1-(6÷100)]2

                 =   35400[1-0.06]2

                 =    35400 x (0.94)2

                 =   35400 x 0.8836

                 =   31279

 



3)  

 The present value of an oil engine is 18844. What was the worth of the engine 4 before if the value depreciates at the rate of 4% every year.

Answer: 16005


SOLUTION 1 :

Given :

    A             =   18844

    r              =  4%

    n             =   4 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   18844[1-(4÷100)]4

                 =   18844[1-0.04]4

                 =    18844 x (0.96)4

                 =   18844 x 0.84934656

                 =   16005

 



4)  

 The present value of an oil engine is 40455. What was the worth of the engine 5 before if the value depreciates at the rate of 8% every year.

Answer: 26663


SOLUTION 1 :

Given :

    A             =   40455

    r              =  8%

    n             =   5 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   40455[1-(8÷100)]5

                 =   40455[1-0.08]5

                 =    40455 x (0.92)5

                 =   40455 x 0.6590815232

                 =   26663

 



5)  

 The present value of an oil engine is 39466. What was the worth of the engine 5 before if the value depreciates at the rate of 9% every year.

Answer: 24628


SOLUTION 1 :

Given :

    A             =   39466

    r              =  9%

    n             =   5 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   39466[1-(9÷100)]5

                 =   39466[1-0.09]5

                 =    39466 x (0.91)5

                 =   39466 x 0.6240321451

                 =   24628

 



6)  

 The present value of an oil engine is 18179. What was the worth of the engine 3 before if the value depreciates at the rate of 6% every year.

Answer: 15099


SOLUTION 1 :

Given :

    A             =   18179

    r              =  6%

    n             =   3 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   18179[1-(6÷100)]3

                 =   18179[1-0.06]3

                 =    18179 x (0.94)3

                 =   18179 x 0.830584

                 =   15099

 



7)  

 The present value of an oil engine is 35141. What was the worth of the engine 2 before if the value depreciates at the rate of 3% every year.

Answer: 33064


SOLUTION 1 :

Given :

    A             =   35141

    r              =  3%

    n             =   2 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   35141[1-(3÷100)]2

                 =   35141[1-0.03]2

                 =    35141 x (0.97)2

                 =   35141 x 0.9409

                 =   33064

 



8)  

 The present value of an oil engine is 13591. What was the worth of the engine 5 before if the value depreciates at the rate of 3% every year.

Answer: 11671


SOLUTION 1 :

Given :

    A             =   13591

    r              =  3%

    n             =   5 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   13591[1-(3÷100)]5

                 =   13591[1-0.03]5

                 =    13591 x (0.97)5

                 =   13591 x 0.8587340257

                 =   11671

 



9)  

 The present value of an oil engine is 20252. What was the worth of the engine 2 before if the value depreciates at the rate of 2% every year.

Answer: 19450


SOLUTION 1 :

Given :

    A             =   20252

    r              =  2%

    n             =   2 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   20252[1-(2÷100)]2

                 =   20252[1-0.02]2

                 =    20252 x (0.98)2

                 =   20252 x 0.9604

                 =   19450

 



10)  

 The present value of an oil engine is 41495. What was the worth of the engine 5 before if the value depreciates at the rate of 4% every year.

Answer: 33834


SOLUTION 1 :

Given :

    A             =   41495

    r              =  4%

    n             =   5 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   41495[1-(4÷100)]5

                 =   41495[1-0.04]5

                 =    41495 x (0.96)5

                 =   41495 x 0.8153726976

                 =   33834