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Question

The price index in 2016 is 116 using 2011 as base year. What will be 2011 price index if base year is changed to 2016? 

This question was previously asked in
SSC CGL 2017 (Tier 1) Previous Year Paper (16-Aug-2017) (Shift 1)
The correct answer is

86.2

Let the price index in 2016 be P2016 = 116 with base year 2011. Let the price index in 2011 be P2011 when the base year is changed to 2016. We have the relationship: P2016 * P2011 = 100 116 * P2011 = 100 P2011 = 100 / 116 = 0.862 P2011 = 86.2

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