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in Economics by (43.3k points)
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Compute the Laspeyre’s, Paasche’s and Fisher’s index numbers for the year 2015 from the data given below:

Item Quantity price
year 2014 year 2015 year 2014 year 2015
A 25 kg 32 kg 42 45
B 15 litre 20 litre 28 30
C 10 pieces 20 pieces 30 36
D 8 meter 15 meter 20 25
E  36 liter 36 litre 60 65

1 Answer

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by (44.3k points)
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Best answer

Here, base year is 2014 and current year is 2015.
∴ P0 = Price in 2014,

q0 = Quantity in 2014,

P1 = Price in 2015 and

q1 = Quantity in 2015

The table for calculation is prepared as follows:

Laspeyre’s index number:

\(I_L= \frac{\sum {p_1\,q_0}}{\sum {p_0\,q_0}} \times 100\)

\(=\frac{4085}{3730} \times 100\)

= 109.52

Paasche’s index number:

\(I_p= \frac{\sum {p_1\,q_1}}{\sum {p_0\,q_1}} \times 100\)

\(=\frac{5475}{4964}\times 100\)

= 110.29

Fisher’s index number:

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