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Differentiate between fixed base and chain base methods.

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The difference between fixed base method and chain base method are as follows:

Fixed base method Chain base method
1. The year with normal events is taken as the base year. 1. The year preceding the current year for which the index is to be obtained, is taken as the base year.
2. The    base year remains constant for computing index number for the given time period. 2. The base year keeps on changing for the given time period.
3. Since the base year is fixed, uniformity is maintained in comparing changes in the values of a variable quantity. 3. Since the base year is changing, uniformity is not maintained in comparing changes in the values of variable quantity.
4. In this method, new items in demand cannot be included and old items out of use or having no preferences cannot be removed. 4. This method permits inclusion of items in demand and exclusion of items out of use or having no preferences.
5. The work of selection of a base year is difficult. 5. The question of selecting a base year does not arise as it is automatically selected.
6. The base year is to be changed with lapse of time. 6. No such problem arises in this method.
7. This method is quite useful for comparing long-term changes in the value of a variable quantity. 7. This method is useful only for comparing short-term changes in the value of a variable quantity.
8. It is easy to understand and easy in computation. 8. In this method if there is any mistake in the calculations of Index number of one year then that mistake is carried on in all the subsequent years.

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