Scroll:Life mathematics >> profit and loss >> saq (4270)

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)  

 At what rate per annum will 203 amount to 769 in 2 years , when interest is being compounted annually

%


Answer:_______________




2)  

 At what rate per annum will 485 amount to 627 in 2 years , when interest is being compounted annually

%


Answer:_______________




3)  

 At what rate per annum will 310 amount to 776 in 2 years , when interest is being compounted annually

%


Answer:_______________




4)  

 At what rate per annum will 282 amount to 679 in 2 years , when interest is being compounted annually

%


Answer:_______________




5)  

 At what rate per annum will 486 amount to 709 in 2 years , when interest is being compounted annually

%


Answer:_______________




6)  

 At what rate per annum will 232 amount to 624 in 2 years , when interest is being compounted annually

%


Answer:_______________




7)  

 At what rate per annum will 323 amount to 679 in 2 years , when interest is being compounted annually

%


Answer:_______________




8)  

 At what rate per annum will 245 amount to 716 in 2 years , when interest is being compounted annually

%


Answer:_______________




9)  

 At what rate per annum will 229 amount to 752 in 2 years , when interest is being compounted annually

%


Answer:_______________




10)  

 At what rate per annum will 394 amount to 658 in 2 years , when interest is being compounted annually

%


Answer:_______________




 

1)  

 At what rate per annum will 203 amount to 769 in 2 years , when interest is being compounted annually

Answer: 279 %


SOLUTION 1 :

Given :

  Given  

        P   =   203

        A   =   769

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   769   =   203[1+(r÷100)]2    

769÷ 203 =  [1+(r÷100)]2  

3.7881773399015                = [1+(r÷100)]2

(3.7881773399015)½ = 1+(r÷100)

3.7881773399015            =   1+(r÷100)

(3.7881773399015)-1        =    r÷100

2.7881773399015 x 100  = r

279 %     =  r

 



2)  

 At what rate per annum will 485 amount to 627 in 2 years , when interest is being compounted annually

Answer: 29 %


SOLUTION 1 :

Given :

  Given  

        P   =   485

        A   =   627

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   627   =   485[1+(r÷100)]2    

627÷ 485 =  [1+(r÷100)]2  

1.2927835051546                = [1+(r÷100)]2

(1.2927835051546)½ = 1+(r÷100)

1.2927835051546            =   1+(r÷100)

(1.2927835051546)-1        =    r÷100

0.29278350515464 x 100  = r

29 %     =  r

 



3)  

 At what rate per annum will 310 amount to 776 in 2 years , when interest is being compounted annually

Answer: 150 %


SOLUTION 1 :

Given :

  Given  

        P   =   310

        A   =   776

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   776   =   310[1+(r÷100)]2    

776÷ 310 =  [1+(r÷100)]2  

2.5032258064516                = [1+(r÷100)]2

(2.5032258064516)½ = 1+(r÷100)

2.5032258064516            =   1+(r÷100)

(2.5032258064516)-1        =    r÷100

1.5032258064516 x 100  = r

150 %     =  r

 



4)  

 At what rate per annum will 282 amount to 679 in 2 years , when interest is being compounted annually

Answer: 141 %


SOLUTION 1 :

Given :

  Given  

        P   =   282

        A   =   679

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   679   =   282[1+(r÷100)]2    

679÷ 282 =  [1+(r÷100)]2  

2.4078014184397                = [1+(r÷100)]2

(2.4078014184397)½ = 1+(r÷100)

2.4078014184397            =   1+(r÷100)

(2.4078014184397)-1        =    r÷100

1.4078014184397 x 100  = r

141 %     =  r

 



5)  

 At what rate per annum will 486 amount to 709 in 2 years , when interest is being compounted annually

Answer: 46 %


SOLUTION 1 :

Given :

  Given  

        P   =   486

        A   =   709

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   709   =   486[1+(r÷100)]2    

709÷ 486 =  [1+(r÷100)]2  

1.4588477366255                = [1+(r÷100)]2

(1.4588477366255)½ = 1+(r÷100)

1.4588477366255            =   1+(r÷100)

(1.4588477366255)-1        =    r÷100

0.45884773662551 x 100  = r

46 %     =  r

 



6)  

 At what rate per annum will 232 amount to 624 in 2 years , when interest is being compounted annually

Answer: 169 %


SOLUTION 1 :

Given :

  Given  

        P   =   232

        A   =   624

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   624   =   232[1+(r÷100)]2    

624÷ 232 =  [1+(r÷100)]2  

2.6896551724138                = [1+(r÷100)]2

(2.6896551724138)½ = 1+(r÷100)

2.6896551724138            =   1+(r÷100)

(2.6896551724138)-1        =    r÷100

1.6896551724138 x 100  = r

169 %     =  r

 



7)  

 At what rate per annum will 323 amount to 679 in 2 years , when interest is being compounted annually

Answer: 110 %


SOLUTION 1 :

Given :

  Given  

        P   =   323

        A   =   679

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   679   =   323[1+(r÷100)]2    

679÷ 323 =  [1+(r÷100)]2  

2.1021671826625                = [1+(r÷100)]2

(2.1021671826625)½ = 1+(r÷100)

2.1021671826625            =   1+(r÷100)

(2.1021671826625)-1        =    r÷100

1.1021671826625 x 100  = r

110 %     =  r

 



8)  

 At what rate per annum will 245 amount to 716 in 2 years , when interest is being compounted annually

Answer: 192 %


SOLUTION 1 :

Given :

  Given  

        P   =   245

        A   =   716

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   716   =   245[1+(r÷100)]2    

716÷ 245 =  [1+(r÷100)]2  

2.9224489795918                = [1+(r÷100)]2

(2.9224489795918)½ = 1+(r÷100)

2.9224489795918            =   1+(r÷100)

(2.9224489795918)-1        =    r÷100

1.9224489795918 x 100  = r

192 %     =  r

 



9)  

 At what rate per annum will 229 amount to 752 in 2 years , when interest is being compounted annually

Answer: 228 %


SOLUTION 1 :

Given :

  Given  

        P   =   229

        A   =   752

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   752   =   229[1+(r÷100)]2    

752÷ 229 =  [1+(r÷100)]2  

3.2838427947598                = [1+(r÷100)]2

(3.2838427947598)½ = 1+(r÷100)

3.2838427947598            =   1+(r÷100)

(3.2838427947598)-1        =    r÷100

2.2838427947598 x 100  = r

228 %     =  r

 



10)  

 At what rate per annum will 394 amount to 658 in 2 years , when interest is being compounted annually

Answer: 67 %


SOLUTION 1 :

Given :

  Given  

        P   =   394

        A   =   658

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   658   =   394[1+(r÷100)]2    

658÷ 394 =  [1+(r÷100)]2  

1.6700507614213                = [1+(r÷100)]2

(1.6700507614213)½ = 1+(r÷100)

1.6700507614213            =   1+(r÷100)

(1.6700507614213)-1        =    r÷100

0.67005076142132 x 100  = r

67 %     =  r