Briefly explain the problems in construction of index number

can refer the theory part of SANDEEP GARG .

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The construction of  index  numbers have the following problems:
  1. It is not fully true,
  2. International comparison is not possible,
  3. It is of limited use,
  4. There will be difference due to time period. 
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Mention five different uses of index number in the study of economics and Commerce
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