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Calculate the amount and compound interest on Rs 8,000 for 1 year at 9% per annum compounded half yearly.


Here P = Rs 8000,   T = 1 year,    R = 9% p.a.

Interest is compounded half yearly,

∴       T = 1 year = 2 half years

         R = 9% p.a.= 9 over 2 % half yearly

∵         Amount = straight P open parentheses 1 plus straight R over 100 close parentheses to the power of straight n

                     = Rs 8000 cross timesopen parentheses 1 plus 9 over 200 close parentheses squared

                     = Rs. 8000 cross times 209 over 200 cross times 209 over 200 equals Rs fraction numerator 2 cross times 209 cross times 209 over denominator 10 end fraction
                    
                     = Rs 87362 over 10 space equals space Rs space 8736.20
                
             CI = Rs 8736.20 - Rs 8000
 
                     = Rs 736.20



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Calculate the amount and compound interest on Rs 10,000 for 1 year at 8% per annum compounded half yearly.


Here P = Rs 10000, T = 1 year
 
       R = 8% p.a. compounded half yearly.

∴      R = 8% p.a. = 4% half yearly

      T = 1 year rightwards arrow n = 2 cross times 1  = 2

Now, amount = straight P open parentheses 1 plus straight R over 100 close parentheses to the power of straight n
                 
                  = Rs 10,000<pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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#6 {main}</pre>

                  = Rs 10,000space open parentheses 26 over 25 close parentheses squared
                 
                  = Rs 10,000space cross times 26 over 25 cross times 26 over 25

                  = Rs 16 cross times 26 cross times 26 equals Rs space 10816

    CI = 10816 - 10000 = Rs 816




    
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Calculate the amount and compound interest on Rs 10,800 for 3 years at 121/2 % per annum compounded annually.


Here P = Rs 10800,    T = 3 years,      R = 12 1 half % space straight p. straight a.

We have:
            straight A equals straight P open square brackets 1 plus straight R over 100 close square brackets to the power of straight n space equals space Rs space 10800 open square brackets 1 plus fraction numerator 12 begin display style 1 half end style over denominator 100 end fraction close square brackets cubed

                              [∵ Interest compounded annually,     ∴ n =3]

                = Rs space 10800 open square brackets 225 over 100 close square brackets cubed

                = Rs 10800 cross times 225 over 100 cross times 225 over 100 cross times 225 over 100
               
                =  Rs fraction numerator 675 cross times 9 cross times 9 cross times 9 over denominator 4 cross times 8 end fraction space equals space Rs space 492075 over 32          

    ∴         Amount = Rs 15377.34

    Now, compound interest = Rs 15377.34 - Rs 10800

                                    = Rs 4577.34


 


 

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Calculate the amount and compound interest on Rs 62,500 for 11/2 years at 8% per annum compounded half yearly


Here P = Rs 62500,  T =1 1 half straight r space equals space 8 % space straight p. straight a.

Compounding half yearly,

           R = 8% p.a. = 4% per half year

           T = <pre>uncaught exception: <b>mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied</b><br /><br />in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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#6 {main}</pre> year rightwards arrown = 3 half years.

∴    Amount = straight P open parentheses 1 plus straight R over 100 close parentheses to the power of straight n

                = Rs 62500open parentheses 1 plus 4 over 100 close parentheses cubed

                = Rs 62500open parentheses 26 over 25 close parentheses cubed

                = Rs 62500 cross times 26 over 25 cross times 26 over 25 cross times 26 over 25

                = Rs  space 4 cross times 26 cross times 26 cross times 26 space equals space Rs space 70304
    
     Amount = Rs 70304            

           CI  = Rs 70304 - Rs 62500 = Rs 7804

  

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Calculate the amount and compound interest on Rs 18,000 for 21/2 years at 10% per annum compounded annually.


Here P = Rs 18000,  T = 2 1 half space space years,  R = 10% p.a.

∵   Interest is compounded annually.

           n = 2 + 1 half

∴     straight A equals straight P open square brackets 1 plus straight R over 100 close square brackets to the power of straight n     

         = space space straight P open square brackets 1 plus 10 over 100 close square brackets squared cross times open square brackets 1 plus fraction numerator begin display style 1 half left parenthesis 10 right parenthesis end style over denominator 100 end fraction close square brackets to the power of 1

         = Rs 18000open square brackets 11 over 10 close square brackets squared cross times open parentheses 21 over 20 close parentheses to the power of 1

         = Rs 18000cross times 11 over 10 cross times 11 over 10 cross times 21 over 20 equals Rs space 9 space cross times space 11 space cross times space 11 space cross times space 21

         = Rs 22869

∴  Amount = Rs 22869

         CI = Rs 22869 - Rs 18000 = Rs 4869


        
          

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