Good day students, today we'll discus on percentages and how to understand the basic concepts about it. Percentages can be applied in real life, people still get it confused about percentages and how to solve them, but here i will show the scoop on how to deal with this kind of mathematics any time given.


Examples 


1. A pupil got 120 out of 200 marks in a test. Change this mark to a percentage.


                                      120
Percentage mark of ---------
                                      200


                           120   / 2             100
         =            ----------------  x   -------------
                           200 /  2               1
                   

              60
         ---------- = 0.6
             100

          
          = 0.6 x 100
       
           = 60%




Do not forget total of percentage is always 100, put the given number smallest on top and the biggest bottom and raise 100 by 1, look for a common divisor to divide the top and the bottom number to last term.



2. The marked price of a chair is N6 000.00. Its sales price N 4 500.00.Find the reduction as a percentage of the marked price


 Reduction =  N 6 000 - 4 500 = N 1 500

   
        Reduction                N 1 500           
     -------------------- %      --------------  x 100
       Marked price            N 6 000
   


   This means 


       1 500 / 1 500 = 1
     
       6 000 / 1 500 = 4



        1                   100
= ------------- x    ------------
       4                     1


   1 x 100 =100
  
   4 x  1  4


then 100 / 4 =25

 discount 25 %



This tells you how to calculate a any discount of any particular goods... hope you really enjoy this...


Exercise 1

Change these marks to percentages

1. 80 out of 100

2. 140 out of 200

3. 120  out of  250

4. 6 out of 15


Solution


1.   80 out of 100
  

        80
=   ------------  0f  100
       100


   80 / 4 = 20

   100 / 4 = 25


      20/ 5 = 4
    
      25 / 5 =5


      4               100
----------  x  ---------- 
     5                  1

 
20 x 4 = 80 

80 %






2.  140 out of 200


             140    
=     --------------
            200
 

140 / 4 = 35

 200 / 4 = 50

 
35 / 5 = 7

50 / 5 = 10


  
       7 
= ---------  0f  100
      10



      7            100
=-------  x  ------------ 
    10             1


10 x 7 = 70

  70 %   

Brake it down

100/ 10 = 10


10 x 7 = 70




3.  120  out of  250


       120 
-------------- x 100
       250


     60 / 5 = 12

     125 / 5 = 25


     100
  -----------  =  4
     25


     4 x 12 = 48 
 
    There 120  out of  250 =  48 %




4. 6 out of 15  

    6
-------   of 100
   15


       6            100
  ---------  x -----------
       15            1
 

  6 / 3 = 2

  15 / 3 = 5


    2
-------  x  100
   5



   100
---------- = 20
    5

20 x 2 =40


There 4. 6 out of 15 = 40 %



Can you see how i solve the above mathematics, just look for a common divisor that will run both the bottom and top number that's all. If you want to solve these follow my examples and you're good to go.



Now Solve These

a. 100 out of 200

b. 90 out of 200

c.170 out of 200

d. 40 out of 100



Find the reduction as a percentage of the marked price below 

1. 1000 of 800

   = 1000 - 800
  = 200


       200          100
    --------  x  ---------- 
      1000           1


   200/200 = 1

  1000 / 200 = 5

       1
  --------  x  100
      5


   100/5 = 20

20 x 1 = 20

 = 20 %



2. 3000 - 2700

    = 3000 - 2700

   =   300


   300
---------  x 100
  3000


300/300 = 1

3000 / 300 = 10



   1
------ x 100
  10

 
100 / 10 = 10

10 x 1 = 10

10 %

If you have any question fill free by putting them in the comments box.