Page 90 - Maths Skills - 7
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88                                                                                                  Maths


              Let’s Attempt

                                                                                                2
        Example 1:  Find:  (i)  15% of 2400 kg                (ii)  2.5% of 50 kg       (iii)  16 % of ` 240
                                                                                                3
        Solution:      (i)  15% of 2400 kg                            (ii)  2.5% of 50 kg

                               15               15                         25.          25      
                            =    of  2400 kg =     × 2400 kg             =     × 50 kg =      × 50 kg
                                                                                      
                                          
                                                            
                                                                                                       
                              100              100                        100          1000     
                            = 360 kg                                       = 1.25 kg
                              2
                      (iii)  16 % of ` 240
                              3
                                  2          
                            = `  16 % of 240 
                                  3          

                                50               50 240×  
                            = `    % of 240  = `    3 100×    = ` 40
                                            
                                 3                       
        Example 2:  What per cent of:
                       (i)  30 metres is 12 metres?    (ii)  150 marks is 48?        (iii)  25 kg is 3.5 kg?
        Solution:      (i)  Required per cent          (ii)  Required per cent       (iii)  Required per cent

                              12                             48                          35.     
                            =    × 100 % = 40%             =     × 100  % = 32%        =    × 100  % = 14%
                                       
                              30                            150                           25     
        Example 3:  Find a number whose 8% is 50.
        Solution:      Let the required number be x.

                       \      8% of x = 50

                       or      8   × x = 50
                              100
                                    50 100×
                       or      x  =         =  625
                                       8
                       Hence, the required number is 625.




                                                    Exercise 5.3



          1.  Express each of the following as a ratio in the simplest form.
                                      1                                                         2
             (i)  32%           (ii)  6 %          (iii)  0.35%       (iv)  200%          (v) 15 %
                                      4                                                         3
            (vi)  0.05%        (vii)  102%        (viii)  15.25%      (ix)   1 %
                                                                           4
          2.  Express each of the following as a decimal.

                                                        5                    1
             (i)  25%           (ii)  0.3%         (iii)  %           (iv)  2 %           (v) 145%
                                                        4
                                                                             3
                  1
            (vi)  1 %          (vii)  0.035%      (viii)  1.25%       (ix)  36%
                  4
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