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Question 25 of 39
Q.

Construct the cost of living index number for 2011 on the basis of 2007 from the given data using Family Budget method.

CommoditiesPrice 2007Price 2011Weights
A35040040
B17525035
C10011515
D7510520
E608025
Tamil Nadu DgeTamil Nadu HSC (DGE) Commerce Board 2023Subjective· 3mImportance★★★★★
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Family Budget method: CLI=∑PW∑W=17429.76135≈129.11\text{CLI}=\dfrac{\sum PW}{\sum W}=\dfrac{17429.76}{135}\approx129.11.

In the Family Budget method the cost-of-living index is CLI=∑PW∑W\text{CLI}=\dfrac{\sum PW}{\sum W}, where P=p1p0×100P=\dfrac{p_1}{p_0}\times100 is the price relative and WW the weight.

Commodityp0p_0p1p_1P=p1p0×100P=\frac{p_1}{p_0}\times100WWPWPW
A350400114.29404571.43
B175250142.86355000.00
C100115115.00151725.00
D75105140.00202800.00

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