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 48476. What was the worth of the engine 3 before if the value depreciates at the rate of 4% every year.


Answer:_______________




2)  

 The present value of an oil engine is 35156. What was the worth of the engine 3 before if the value depreciates at the rate of 10% every year.


Answer:_______________




3)  

 The present value of an oil engine is 33705. What was the worth of the engine 4 before if the value depreciates at the rate of 5% every year.


Answer:_______________




4)  

 The present value of an oil engine is 13804. 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 21480. What was the worth of the engine 4 before if the value depreciates at the rate of 3% every year.


Answer:_______________




6)  

 The present value of an oil engine is 27180. What was the worth of the engine 2 before if the value depreciates at the rate of 7% every year.


Answer:_______________




7)  

 The present value of an oil engine is 42239. What was the worth of the engine 5 before if the value depreciates at the rate of 6% every year.


Answer:_______________




8)  

 The present value of an oil engine is 15592. What was the worth of the engine 2 before if the value depreciates at the rate of 9% every year.


Answer:_______________




9)  

 The present value of an oil engine is 17200. What was the worth of the engine 3 before if the value depreciates at the rate of 9% every year.


Answer:_______________




10)  

 The present value of an oil engine is 38898. What was the worth of the engine 5 before if the value depreciates at the rate of 10% every year.


Answer:_______________




 

1)  

 The present value of an oil engine is 48476. What was the worth of the engine 3 before if the value depreciates at the rate of 4% every year.

Answer: 42888


SOLUTION 1 :

Given :

    A             =   48476

    r              =  4%

    n             =   3 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   48476[1-(4÷100)]3

                 =   48476[1-0.04]3

                 =    48476 x (0.96)3

                 =   48476 x 0.884736

                 =   42888

 



2)  

 The present value of an oil engine is 35156. What was the worth of the engine 3 before if the value depreciates at the rate of 10% every year.

Answer: 25629


SOLUTION 1 :

Given :

    A             =   35156

    r              =  10%

    n             =   3 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   35156[1-(10÷100)]3

                 =   35156[1-0.1]3

                 =    35156 x (0.9)3

                 =   35156 x 0.729

                 =   25629

 



3)  

 The present value of an oil engine is 33705. What was the worth of the engine 4 before if the value depreciates at the rate of 5% every year.

Answer: 27453


SOLUTION 1 :

Given :

    A             =   33705

    r              =  5%

    n             =   4 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   33705[1-(5÷100)]4

                 =   33705[1-0.05]4

                 =    33705 x (0.95)4

                 =   33705 x 0.81450625

                 =   27453

 



4)  

 The present value of an oil engine is 13804. What was the worth of the engine 5 before if the value depreciates at the rate of 8% every year.

Answer: 9098


SOLUTION 1 :

Given :

    A             =   13804

    r              =  8%

    n             =   5 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   13804[1-(8÷100)]5

                 =   13804[1-0.08]5

                 =    13804 x (0.92)5

                 =   13804 x 0.6590815232

                 =   9098

 



5)  

 The present value of an oil engine is 21480. What was the worth of the engine 4 before if the value depreciates at the rate of 3% every year.

Answer: 19016


SOLUTION 1 :

Given :

    A             =   21480

    r              =  3%

    n             =   4 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   21480[1-(3÷100)]4

                 =   21480[1-0.03]4

                 =    21480 x (0.97)4

                 =   21480 x 0.88529281

                 =   19016

 



6)  

 The present value of an oil engine is 27180. What was the worth of the engine 2 before if the value depreciates at the rate of 7% every year.

Answer: 23508


SOLUTION 1 :

Given :

    A             =   27180

    r              =  7%

    n             =   2 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   27180[1-(7÷100)]2

                 =   27180[1-0.07]2

                 =    27180 x (0.93)2

                 =   27180 x 0.8649

                 =   23508

 



7)  

 The present value of an oil engine is 42239. What was the worth of the engine 5 before if the value depreciates at the rate of 6% every year.

Answer: 30999


SOLUTION 1 :

Given :

    A             =   42239

    r              =  6%

    n             =   5 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   42239[1-(6÷100)]5

                 =   42239[1-0.06]5

                 =    42239 x (0.94)5

                 =   42239 x 0.7339040224

                 =   30999

 



8)  

 The present value of an oil engine is 15592. What was the worth of the engine 2 before if the value depreciates at the rate of 9% every year.

Answer: 12912


SOLUTION 1 :

Given :

    A             =   15592

    r              =  9%

    n             =   2 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   15592[1-(9÷100)]2

                 =   15592[1-0.09]2

                 =    15592 x (0.91)2

                 =   15592 x 0.8281

                 =   12912

 



9)  

 The present value of an oil engine is 17200. What was the worth of the engine 3 before if the value depreciates at the rate of 9% every year.

Answer: 12961


SOLUTION 1 :

Given :

    A             =   17200

    r              =  9%

    n             =   3 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   17200[1-(9÷100)]3

                 =   17200[1-0.09]3

                 =    17200 x (0.91)3

                 =   17200 x 0.753571

                 =   12961

 



10)  

 The present value of an oil engine is 38898. What was the worth of the engine 5 before if the value depreciates at the rate of 10% every year.

Answer: 22969


SOLUTION 1 :

Given :

    A             =   38898

    r              =  10%

    n             =   5 years

Depreciation:

    A           =   P[1-(r÷100)]n

                 =   38898[1-(10÷100)]5

                 =   38898[1-0.1]5

                 =    38898 x (0.9)5

                 =   38898 x 0.59049

                 =   22969