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Question 24 of 45
Q.

The details of expenditure on clothing for the worker class of a region are as follows. Find the index number for clothing by Family Budget Method.

ItemSareeDhotiShirtingOther
UnitPiecePieceMeterMeter
Quantity in year 2020582015
Price in year 2020 (₹)3007032.4020.90
Price in year 2021 (₹)4001003823.80
Gujarat GsebGujarat Board (GSEB) HSC Commerce Board 2022Subjective· 3mImportance★★★★★
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Using the Family Budget method (weights W=p0q0W=p_0q_0, price relatives P=p1p0×100P=\tfrac{p_1}{p_0}\times100), the clothing index =ΣPWΣW=Σp1q0Σp0q0×100≈129.64=\dfrac{\Sigma PW}{\Sigma W}=\dfrac{\Sigma p_1q_0}{\Sigma p_0q_0}\times100 \approx \mathbf{129.64}.

Data and working table (q0q_0 = 2020 quantity, p0p_0 = 2020 price, p1p_1 = 2021 price):

Itemq0q_0p0p_0p1p_1p0q0=Wp_0q_0=Wp1q0p_1q_0
Saree530040015002000
Dhoti870100560800
Shirting2032.4038648760
Other1520.9023.80313.5357
Total3021.53917

Family Budget method. With value weights W=p0q0W=p_0q_0 and price relatives P=p1p0×100P=\dfrac{p_1}{p_0}\times 100, …

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