An index number expressing the level of a group of commodity prices relative to the level of the prices of the same commodities during an arbitrarily chosen base period and used to indicate changes in the level of prices from one period to another.

Given:

Comm. p0 q0 p1 q1 p0q0 p1q0 p1q1 p0q1

A 25 750 30 960 18750 750 28800 24000

B 30 450 25 550 13500 750 13750 16500

C 5 250 6 360 1250 30 2160 1800

D 6 90 7 210 540 42 1470 1260

E 10 140 10 190 1400 100 1900 1900

F 4 48 5 65 192 240 365 260

Now,

$\sum$ p0q0 = 35632

$\sum$ p1q0 = 1912

$\sum$ p1q1 = 48445

$\sum$ p0q1= 45720

1) P01(L) = $\sum$ p1q0/ $\sum$ p0q0 * 100

= 5.36

2) P01(L) = $\sum$ p1q1/ $\sum$ p0q1 * 100

= 105.96

Dorbish- Bowley

= 5.36+ 105.96/2

=55.66

Marshall- Edgeworth

= 1912+ 48445/35632 + 45720

= 50357/ 81352

= 0.619 *100= 61.9

Fisher's price index

=( 5.36 * 105.96 )^ 0.5

=23.831

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