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 364 amount to 635 in 2 years , when interest is being compounted annually

%


Answer:_______________




2)  

 At what rate per annum will 466 amount to 691 in 2 years , when interest is being compounted annually

%


Answer:_______________




3)  

 At what rate per annum will 413 amount to 759 in 2 years , when interest is being compounted annually

%


Answer:_______________




4)  

 At what rate per annum will 301 amount to 731 in 2 years , when interest is being compounted annually

%


Answer:_______________




5)  

 At what rate per annum will 401 amount to 790 in 2 years , when interest is being compounted annually

%


Answer:_______________




6)  

 At what rate per annum will 370 amount to 770 in 2 years , when interest is being compounted annually

%


Answer:_______________




7)  

 At what rate per annum will 286 amount to 794 in 2 years , when interest is being compounted annually

%


Answer:_______________




8)  

 At what rate per annum will 376 amount to 743 in 2 years , when interest is being compounted annually

%


Answer:_______________




9)  

 At what rate per annum will 210 amount to 720 in 2 years , when interest is being compounted annually

%


Answer:_______________




10)  

 At what rate per annum will 208 amount to 661 in 2 years , when interest is being compounted annually

%


Answer:_______________




 

1)  

 At what rate per annum will 364 amount to 635 in 2 years , when interest is being compounted annually

Answer: 74 %


SOLUTION 1 :

Given :

  Given  

        P   =   364

        A   =   635

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   635   =   364[1+(r÷100)]2    

635÷ 364 =  [1+(r÷100)]2  

1.7445054945055                = [1+(r÷100)]2

(1.7445054945055)½ = 1+(r÷100)

1.7445054945055            =   1+(r÷100)

(1.7445054945055)-1        =    r÷100

0.74450549450549 x 100  = r

74 %     =  r

 



2)  

 At what rate per annum will 466 amount to 691 in 2 years , when interest is being compounted annually

Answer: 48 %


SOLUTION 1 :

Given :

  Given  

        P   =   466

        A   =   691

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   691   =   466[1+(r÷100)]2    

691÷ 466 =  [1+(r÷100)]2  

1.4828326180258                = [1+(r÷100)]2

(1.4828326180258)½ = 1+(r÷100)

1.4828326180258            =   1+(r÷100)

(1.4828326180258)-1        =    r÷100

0.48283261802575 x 100  = r

48 %     =  r

 



3)  

 At what rate per annum will 413 amount to 759 in 2 years , when interest is being compounted annually

Answer: 84 %


SOLUTION 1 :

Given :

  Given  

        P   =   413

        A   =   759

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   759   =   413[1+(r÷100)]2    

759÷ 413 =  [1+(r÷100)]2  

1.8377723970944                = [1+(r÷100)]2

(1.8377723970944)½ = 1+(r÷100)

1.8377723970944            =   1+(r÷100)

(1.8377723970944)-1        =    r÷100

0.83777239709443 x 100  = r

84 %     =  r

 



4)  

 At what rate per annum will 301 amount to 731 in 2 years , when interest is being compounted annually

Answer: 143 %


SOLUTION 1 :

Given :

  Given  

        P   =   301

        A   =   731

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   731   =   301[1+(r÷100)]2    

731÷ 301 =  [1+(r÷100)]2  

2.4285714285714                = [1+(r÷100)]2

(2.4285714285714)½ = 1+(r÷100)

2.4285714285714            =   1+(r÷100)

(2.4285714285714)-1        =    r÷100

1.4285714285714 x 100  = r

143 %     =  r

 



5)  

 At what rate per annum will 401 amount to 790 in 2 years , when interest is being compounted annually

Answer: 97 %


SOLUTION 1 :

Given :

  Given  

        P   =   401

        A   =   790

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   790   =   401[1+(r÷100)]2    

790÷ 401 =  [1+(r÷100)]2  

1.9700748129676                = [1+(r÷100)]2

(1.9700748129676)½ = 1+(r÷100)

1.9700748129676            =   1+(r÷100)

(1.9700748129676)-1        =    r÷100

0.97007481296758 x 100  = r

97 %     =  r

 



6)  

 At what rate per annum will 370 amount to 770 in 2 years , when interest is being compounted annually

Answer: 108 %


SOLUTION 1 :

Given :

  Given  

        P   =   370

        A   =   770

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   770   =   370[1+(r÷100)]2    

770÷ 370 =  [1+(r÷100)]2  

2.0810810810811                = [1+(r÷100)]2

(2.0810810810811)½ = 1+(r÷100)

2.0810810810811            =   1+(r÷100)

(2.0810810810811)-1        =    r÷100

1.0810810810811 x 100  = r

108 %     =  r

 



7)  

 At what rate per annum will 286 amount to 794 in 2 years , when interest is being compounted annually

Answer: 178 %


SOLUTION 1 :

Given :

  Given  

        P   =   286

        A   =   794

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   794   =   286[1+(r÷100)]2    

794÷ 286 =  [1+(r÷100)]2  

2.7762237762238                = [1+(r÷100)]2

(2.7762237762238)½ = 1+(r÷100)

2.7762237762238            =   1+(r÷100)

(2.7762237762238)-1        =    r÷100

1.7762237762238 x 100  = r

178 %     =  r

 



8)  

 At what rate per annum will 376 amount to 743 in 2 years , when interest is being compounted annually

Answer: 98 %


SOLUTION 1 :

Given :

  Given  

        P   =   376

        A   =   743

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   743   =   376[1+(r÷100)]2    

743÷ 376 =  [1+(r÷100)]2  

1.9760638297872                = [1+(r÷100)]2

(1.9760638297872)½ = 1+(r÷100)

1.9760638297872            =   1+(r÷100)

(1.9760638297872)-1        =    r÷100

0.97606382978723 x 100  = r

98 %     =  r

 



9)  

 At what rate per annum will 210 amount to 720 in 2 years , when interest is being compounted annually

Answer: 243 %


SOLUTION 1 :

Given :

  Given  

        P   =   210

        A   =   720

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   720   =   210[1+(r÷100)]2    

720÷ 210 =  [1+(r÷100)]2  

3.4285714285714                = [1+(r÷100)]2

(3.4285714285714)½ = 1+(r÷100)

3.4285714285714            =   1+(r÷100)

(3.4285714285714)-1        =    r÷100

2.4285714285714 x 100  = r

243 %     =  r

 



10)  

 At what rate per annum will 208 amount to 661 in 2 years , when interest is being compounted annually

Answer: 218 %


SOLUTION 1 :

Given :

  Given  

        P   =   208

        A   =   661

        n   =   2 years

        r    =  

       A   =   P[1+(r÷100)]n

   661   =   208[1+(r÷100)]2    

661÷ 208 =  [1+(r÷100)]2  

3.1778846153846                = [1+(r÷100)]2

(3.1778846153846)½ = 1+(r÷100)

3.1778846153846            =   1+(r÷100)

(3.1778846153846)-1        =    r÷100

2.1778846153846 x 100  = r

218 %     =  r