Thursday, 21 January 2016

SIMPLE INTEREST EXPLAINED FOR BEGINNERS




Simple interest is the amount paid by the borrower to lender for the use of his money. The sum repaid by the borrower I e principal plus interest is called the amount. It is usually given at a certain rate per period of time eg quarterly, half yearly, yearly etc.
The interest is proportionate to the rate and the period. (time)
When the money borrowed is for a number of months, it is divided by
12. If it is for a number of days, it is divided by 365, which give us a fraction of one year.
The formula may be expressed as follows:
I =          PxYxR
                          100      
 Where I  =  Interest
             P   = Principal
             Y   = Number of Years or period
             R   = Rate per cent 
Example one

Fin d the simple interest and amount of N10000   for 1 year at 5%   per
Annum
When you simplify you have:
 
Interest. =   5/100 x10000/1 =N500 .
Amount =   N10, 000+500=N10.500.

Example Two:

Find the simple interest on N100 for 3 month at 5 percent per annum 
When you simplify you have;

Simple interest =    N 5/100x100/1x3/12 = N1.25

Example Three

Find the simple interest on N100, 000 for 146 days at 5 percent per annum.

When you simplify you have:

5/100x100, 000/1x146/365 =N2,000

Example four
Find the simple interest on N480 for 5 months at 43/4 percent per annum.

When you simplify you have:
  =  480x5x43/4
         12x100
 =        480x5x19
            12x400
=          N9.50.

Example five

What sum will earn N15 .75 interest 146 days at 41/2 per cent.

When you simplify you have:

 Principal = N153/4x100
                        146
                        365 x 41/2    
               =       63x100x2x365
                          4x146x9
                =            N875
From the above we; may deduce as follow.
PxYxR
   100       = Interest
PxYxR=1x100 (multiply both side 100)
(1)           P=Ix100  (divide both sides by YxR)
     YxR
(2)            Y=Ix100  (divide both sides by PxR)
      PxR
(3)            R=Ix100 (divide both  sides by PxY)
                     PxY




                       











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