Page 17 - Start Up Mathematics_6
P. 17

Total sale for the two weeks together
                                                       = ` 3,85,891 + ` 4,00,768                    ` 3,85,891

                                                       = ` 7,86,659                              + ` 4,00,768
                          Therefore, the sale for two weeks together = ` 7,86,659                   ` 7,86,659
                          The extreme left digit of the number representing sales of the
                          second week is greater than that of the first week. Therefore,
                          the sale in the second week is greater.                                   ` 4,00,768
                          In the second week, the sale is greater by                              – ` 3,85,891
                                                       = ` 4,00,768 – ` 3,85,891                      ` 14,877
                                                       = ` 14,877
            Example 13: Find the difference between the greatest and the least number that can be formed
                          using the digits 8, 2, 7, 4, 3 with each digit coming only once.
            Solution:     The greatest number which can be formed using the digits 8, 2, 7, 4 and 3 with each
                          occurring only once is 87,432.
                          The smallest number which can be formed using the digits 8, 2, 7, 4 and 3 with each
                          occurring only once is 23,478.
                          The difference between the greatest and smallest numbers so formed            87,432
                                                       = 87,432 – 23,478 = 63,954                     – 23,478
                          Therefore, the difference between the greatest and                            63,954
                          smallest numbers using the digits 8, 2, 7, 4, 3 = 63,954

            Example 14: A machine, on an average, manufactures 3,215 screws a day. How many screws did
                          it produce in the month of January 2009?
                                                                                                         3,215
            Solution:     Average number of screws manufactured in a day = 3,215                      ×      31
                          Number of days in the month of January = 31                                    3,215
                          Number of screws produced in the month of January 2009                      + 9,645X
                                                       = 3,215 × 31                                     99,665
                                                       = 99,665
                          Therefore, the number of screws produced in the month of January 2009 = 99,665
            Example 15: A merchant had ` 88,592 with her. She placed an order for purchasing 40 video
                          games at ` 1,200 each. How much money will remain with her after the purchase?

            Solution:       Cost of each video game  = ` 1,200                                           1,200
                            Cost of 40 video games  = ` 1,200 × 40                                    ×      40

                                                        = ` 48,000                                        0000
                                                                                                     + 4,800X
                          The merchant had ` 88,592 and she placed an order                             48,000
                          for ` 48,000.

                          Money which will be left with her after the purchase
                                                                                                        88,592
                          of 40 video games = ` 88,592 – ` 48,000 = ` 40,592                          – 48,000
                          Therefore, the money left with her after the purchase                         40,592
                          of 40 video games = ` 40,592
            Example 16: To stitch a shirt, 2 m 15 cm cloth is needed. Out of 40 m cloth, how many shirts can
                          be stitched and how much cloth will remain?


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