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From the following data Commodities base year current year A. 25. 55 B. 30. 45 Then index numbers from G.M method is: a. 181.66. b.185.25. c.181.75. d.none of these?
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From the following data Commodities base year current year A. 25. 55 B...
Calculation of Index Numbers using Geometric Mean Method

Given Data:
Commodity A:
Base Year = 25
Current Year = 55

Commodity B:
Base Year = 30
Current Year = 45

Step 1: Calculate the Price Relative for each commodity
Price Relative = (Current Year Price / Base Year Price) x 100

For Commodity A:
Price Relative = (55 / 25) x 100 = 220

For Commodity B:
Price Relative = (45 / 30) x 100 = 150

Step 2: Calculate the Geometric Mean of Price Relatives
Geometric Mean = √(Price Relative of Commodity A x Price Relative of Commodity B)

Geometric Mean = √(220 x 150) = √33000 = 181.6615 (approx.)

Therefore, the index number from G.M method is 181.66 (approx.) which corresponds to option (a).

Note: The correct answer may vary slightly due to rounding off of decimals.
Community Answer
From the following data Commodities base year current year A. 25. 55 B...
PR=P1/P0*100=55/25*100=220. 45/30*100=150. GM=sq root both. √220*150=181.66(a)
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From the following data Commodities base year current year A. 25. 55 B. 30. 45 Then index numbers from G.M method is: a. 181.66. b.185.25. c.181.75. d.none of these?
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