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WORKSHOP CALCULATION & SCIENCE  - CITS




           EXERCISE 3 : Percentage


           Square root, Ratio and Proportions, Percentage

           Percentage

           Percentage is a kind of fraction whose denominator is always 100.  The symbol for percent is %, written after the
           number. e.g. 16%.
                      16
                Ex.      =  0.16
                     100
           In decimal form, it is 0.16. Percentage calculation also involves rule of three. The statement (the given data), for
                        100
           unit, and then to multiple which is for calculating the answer. (Fig 1)
                      3.6
                        100
                      3.6

                       1
                     76

                      1
           Example  76
           The amount of total raw sheet metal to make a door was 3.6 metre  and wastage was 0.18 metre .  Calculate the
                                                                      2
                   984.50
                                                                                                2
                         X100 =
           % of wastage. (Fig 2)  1295.39
                    76
                     75
                     =   x  100  =   37  1 %
                    200             2
                           15x   100x + 15x
                15000 =  x +   =
                           100      100

                    1500000
                 x =         = 13043.47
                      115
           Solution procedure in three steps.
           Statement:
                  16
               Area of door (A) =    3.6 m  = 100 %.
                                          2
                     =
                       0.16
                 100
               Wastage = 0.18 m 2
                                16
                    100
           Single:          x 1 m      100  = 0.16
                            2
                   3.6
                                  100
                    100
           Multiple : for 0.18 m =           x 0.18

                             2
                                3.6
           Wastage  3.6  = 5%
                                  100
                   1
              Analyse the given data and proceed to arrive at the answer through the unit.
                                3.6
                 76
                                 1
                  1
                               76
                76
                                1
               984.50
                              76
                     X100 = 1295.39
                 76
                             984.50
                 75                X100 = 1295.39
                 =   x  100  =   37 76 1 %
                200             2                          15
                               75
                                    100
                                   x
                        15x    = 100x + 15x   =   37  1 2 %
             15000 =  x +   = 200
                        100     100
                                     15x   100x + 15x
                1500000   15000 =  x +   =
             x =         = 13043.47  100      100
                  115
                              1500000
                           x =         = 13043.47
                                115
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