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Cost of living Index number formula.

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1. Aggregate expenditure method:
(i) Index number = \(\frac{Σp_1q_0}{Σp_0q_0}\)

Where, Σp1q0 = Total expenditure of current year
Where, Σp0q0 = Total expenditure of base year

[Note: This is Laspeyre’s Index number.]

(ii) Index number = \(\frac{Σp_1q_0}{Σp_0q_0} × 100\)

Where, Σp1q1 = Total expenditure of current year
Σp0q0 = Total expenditure of base year corresponding to quantity of current year
[Note: This is Paasche’s Index number.]

2. Family budget method:

Index number = \(\frac{ΣIW}{ΣW}\)

Where, I =\(\frac{ p_1}{p_0} × 100\)

W = p0q0 = Expenditure of base year
[Note: In the formula, if we replace, Pi
W = p0q> I = p1p0 it is Laspeyres Index number.]

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