If Laspeyres’ index is 223 and Paasche’s index number is 169, then Fisher's ideal index number is: 

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SSC CGL Tier-II (JSO) 2022 Official Paper (Held On: 4 March 2023)
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  1. 194.1314
  2. 165
  3. 187
  4. 198

Answer (Detailed Solution Below)

Option 1 : 194.1314
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Key Points

Fisher's Ideal index number is calculated as the geometric mean of Laspeyres' and Paasche's index numbers. The geometric mean is a type of average that is calculated by taking the nth root of the product of n values. Given, Laspeyres' index of 223 and Paasche's index of 169. To calculate Fisher's Ideal index number, we have the formula: 
\(\sqrt {(Laspeyres' index \times Paasche's index)} = \sqrt{(223 \times 169)} = \sqrt{37687} \approx 194.1314 \)

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