Scroll:Life mathematics >> profit and loss >> saq (4289)


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)  

 Find the compound  interest on 4834 compounded half_ yearly for  32 years at the rate of 6% per annum.


Answer:_______________




2)  

 Find the compound  interest on 2629 compounded half_ yearly for  32 years at the rate of 6% per annum.


Answer:_______________




3)  

 Find the compound  interest on 4368 compounded half_ yearly for  32 years at the rate of 6% per annum.


Answer:_______________




4)  

 Find the compound  interest on 2481 compounded half_ yearly for  32 years at the rate of 5% per annum.


Answer:_______________




5)  

 Find the compound  interest on 1563 compounded half_ yearly for  32 years at the rate of 6% per annum.


Answer:_______________




6)  

 Find the compound  interest on 2712 compounded half_ yearly for  32 years at the rate of 6% per annum.


Answer:_______________




7)  

 Find the compound  interest on 3470 compounded half_ yearly for  32 years at the rate of 5% per annum.


Answer:_______________




8)  

 Find the compound  interest on 4116 compounded half_ yearly for  32 years at the rate of 7% per annum.


Answer:_______________




9)  

 Find the compound  interest on 2171 compounded half_ yearly for  32 years at the rate of 8% per annum.


Answer:_______________




10)  

 Find the compound  interest on 2039 compounded half_ yearly for  32 years at the rate of 7% per annum.


Answer:_______________




 

1)  

 Find the compound  interest on 4834 compounded half_ yearly for  32 years at the rate of 6% per annum.

Answer: 5282.24


SOLUTION 1 :

Given:

 P     =   4834

 r      =  6%

 n     =  18 months = 1812 years = 32 years

Amount after 32 months           =   P[ 1+(12(r /100))]2n

                                                    =  4834[ 1+(12x0.06) ](2x32)

                                                     =  4834[1+0.03](2x32)

                                                     =   4834(1.03)3

                                                     =  4834 x 1.09

                                                     =   5282.24



2)  

 Find the compound  interest on 2629 compounded half_ yearly for  32 years at the rate of 6% per annum.

Answer: 2872.78


SOLUTION 1 :

Given:

 P     =   2629

 r      =  6%

 n     =  18 months = 1812 years = 32 years

Amount after 32 months           =   P[ 1+(12(r /100))]2n

                                                    =  2629[ 1+(12x0.06) ](2x32)

                                                     =  2629[1+0.03](2x32)

                                                     =   2629(1.03)3

                                                     =  2629 x 1.09

                                                     =   2872.78



3)  

 Find the compound  interest on 4368 compounded half_ yearly for  32 years at the rate of 6% per annum.

Answer: 4773.03


SOLUTION 1 :

Given:

 P     =   4368

 r      =  6%

 n     =  18 months = 1812 years = 32 years

Amount after 32 months           =   P[ 1+(12(r /100))]2n

                                                    =  4368[ 1+(12x0.06) ](2x32)

                                                     =  4368[1+0.03](2x32)

                                                     =   4368(1.03)3

                                                     =  4368 x 1.09

                                                     =   4773.03



4)  

 Find the compound  interest on 2481 compounded half_ yearly for  32 years at the rate of 5% per annum.

Answer: 2671.77


SOLUTION 1 :

Given:

 P     =   2481

 r      =  5%

 n     =  18 months = 1812 years = 32 years

Amount after 32 months           =   P[ 1+(12(r /100))]2n

                                                    =  2481[ 1+(12x0.05) ](2x32)

                                                     =  2481[1+0.025](2x32)

                                                     =   2481(1.025)3

                                                     =  2481 x 1.08

                                                     =   2671.77



5)  

 Find the compound  interest on 1563 compounded half_ yearly for  32 years at the rate of 6% per annum.

Answer: 1707.93


SOLUTION 1 :

Given:

 P     =   1563

 r      =  6%

 n     =  18 months = 1812 years = 32 years

Amount after 32 months           =   P[ 1+(12(r /100))]2n

                                                    =  1563[ 1+(12x0.06) ](2x32)

                                                     =  1563[1+0.03](2x32)

                                                     =   1563(1.03)3

                                                     =  1563 x 1.09

                                                     =   1707.93



6)  

 Find the compound  interest on 2712 compounded half_ yearly for  32 years at the rate of 6% per annum.

Answer: 2963.48


SOLUTION 1 :

Given:

 P     =   2712

 r      =  6%

 n     =  18 months = 1812 years = 32 years

Amount after 32 months           =   P[ 1+(12(r /100))]2n

                                                    =  2712[ 1+(12x0.06) ](2x32)

                                                     =  2712[1+0.03](2x32)

                                                     =   2712(1.03)3

                                                     =  2712 x 1.09

                                                     =   2963.48



7)  

 Find the compound  interest on 3470 compounded half_ yearly for  32 years at the rate of 5% per annum.

Answer: 3736.81


SOLUTION 1 :

Given:

 P     =   3470

 r      =  5%

 n     =  18 months = 1812 years = 32 years

Amount after 32 months           =   P[ 1+(12(r /100))]2n

                                                    =  3470[ 1+(12x0.05) ](2x32)

                                                     =  3470[1+0.025](2x32)

                                                     =   3470(1.025)3

                                                     =  3470 x 1.08

                                                     =   3736.81



8)  

 Find the compound  interest on 4116 compounded half_ yearly for  32 years at the rate of 7% per annum.

Answer: 4563.48


SOLUTION 1 :

Given:

 P     =   4116

 r      =  7%

 n     =  18 months = 1812 years = 32 years

Amount after 32 months           =   P[ 1+(12(r /100))]2n

                                                    =  4116[ 1+(12x0.07) ](2x32)

                                                     =  4116[1+0.035](2x32)

                                                     =   4116(1.035)3

                                                     =  4116 x 1.11

                                                     =   4563.48



9)  

 Find the compound  interest on 2171 compounded half_ yearly for  32 years at the rate of 8% per annum.

Answer: 2442.08


SOLUTION 1 :

Given:

 P     =   2171

 r      =  8%

 n     =  18 months = 1812 years = 32 years

Amount after 32 months           =   P[ 1+(12(r /100))]2n

                                                    =  2171[ 1+(12x0.08) ](2x32)

                                                     =  2171[1+0.04](2x32)

                                                     =   2171(1.04)3

                                                     =  2171 x 1.12

                                                     =   2442.08



10)  

 Find the compound  interest on 2039 compounded half_ yearly for  32 years at the rate of 7% per annum.

Answer: 2260.68


SOLUTION 1 :

Given:

 P     =   2039

 r      =  7%

 n     =  18 months = 1812 years = 32 years

Amount after 32 months           =   P[ 1+(12(r /100))]2n

                                                    =  2039[ 1+(12x0.07) ](2x32)

                                                     =  2039[1+0.035](2x32)

                                                     =   2039(1.035)3

                                                     =  2039 x 1.11

                                                     =   2260.68